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April 2023, Volume 32, Number 1 [DOI: 10.13164/re.2023-1]

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N.-L. Nguyen, L.-T. Tu, T. N. Nguyen, P.-L. T. Nguyen, Q.-S. Nguyen [references] [full-text] [DOI: 10.13164/re.2023.0001] [Download Citations]
Performance on Cognitive Broadcasting Networks Employing Fountain Codes and Maximal Ratio Transmission

The comprehensive performance of cognitive broadcasting networks employing Fountain codes (FC) and maximal ratio transmission (MRT) is investigated in the present paper. More precisely, the secondary transmitter (ST) employs Fountain code to effectively broadcast a common message such as a safety warning, security news, etc., to all secondary receivers (SRs) via underlay protocol of cognitive radio networks (CRNs). Different from works in the literature that are interested in studying the outage probability (OP), and the ergodic capacity of the CRNs. The present paper, on the other hand, focuses on the characteristics of the number of needed time slots to successfully deliver such a message. Particularly, we derive in closed-form expressions the cumulative distribution function (CDF), the probability mass function (PMF), and the average number of the required time slot to broadcast the message to all SRs. Additionally, we also provide the throughput of secondary networks (SNs). We point out the impact of some key parameters, i.e., the number of SRs and the number of transmit antennae at the secondary transmitter, on the performance of these considered metrics. Numerical results via the Monte-Carlo method are given to verify the accuracy of the derived framework as well as to highlight the influences of some essential parameters. Furthermore, we also compare the performance of the proposed networks with state-of-the-art and simulation results unveiling that the considered system consistently outperforms works in the literature.

  1. ZHANG, Z., WU, Q., WANG, J. Energy-efficient power allocation strategy in cognitive relay networks. Radioengineering, 2012, vol. 21, no. 3, p. 809–814. ISSN: 1805-9600
  2. FERDOUS, N., AHMED, M., MATIN, M. A. et al. Efficient algorithm for power allocation in relay-based cognitive radio network. Radioengineering, 2011, vol. 20, no. 4, p. 946–951. ISSN: 1805-9600
  3. ZHENG, Z., YUAN, L., FANG, F. Performance analysis of fountain coded non-orthogonal multiple access with finite blocklength. IEEE Wireless Communications Letters, 2021, vol. 10, no. 8, p. 1752–1756. DOI: 10.1109/LWC.2021.3078811
  4. LI, W., SHENTU, G., GAO, X. Estimation of primary channel mean period based on state transition probability in cognitive radio. IEEE Access, 2022, vol. 10, p. 52410–52417. DOI: 10.1109/ACCESS.2022.3175852
  5. IDREES, Z., USMAN, M., GELANI, H. E., et al. Fast and robust spectrum sensing for cognitive radio enabled IoT. IEEE Access, 2021, vol. 9, p. 165996–166007. DOI: 10.1109/ACCESS.2021.3133336
  6. NGUYEN, N. T., NGUYEN, V. S., NGUYEN, H. G., et al. On the performance of underlay device-to-device communications. Sensors, 2022, vol. 22, no. 4, p. 1–21. DOI: 10.3390/s22041456
  7. NGUYEN, N. P., TU, L.-T., DUONG, Q. T. Secure communications in cognitive underlay networks over Nakagami-m channel. Physical Communications, 2017, vol. 25, no. 2, p. 610–618. DOI: 10.1016/j.phycom.2016.05.003
  8. PRATHIMA, A., GURJAR, D. S., NGUYEN, H. H., et al. Performance analysis and optimization of bidirectional overlay cognitive radio networks with hybrid-SWIPT. IEEE Transactions on Vehicular Technology, 2020, vol. 69, no. 11, p. 13467–13481. DOI: 10.1109/TVT.2020.3029067
  9. SINGH, A., BHATNAGAR, M. R., MALLIK, R. K. Secrecy outage performance of SWIPT cognitive radio network with imperfect CSI. IEEE Access, 2020, vol. 8, p. 3911–3919. DOI: 10.1109/ACCESS.2019.2962382
  10. TU, L.-T., DI RENZO, M., COON, J. P. System-level analysis of receiver diversity in SWIPT-enabled cellular networks. Journal of Communications and Networks, 2016, vol. 18, no. 6, p. 926–937. DOI: 10.1109/JCN.2016.000127
  11. SONG, Y., YANG, W., XIANG, Z., et al. Research on cognitive power allocation for secure millimeter-wave NOMA networks. IEEE Transactions on Vehicular Technology, 2020, vol. 69, no. 11, p. 13424–13436. DOI: 10.1109/TVT.2020.3027868
  12. XU, D., YU, X., SUN, Y., et al. Resource allocation for IRS-assisted full-duplex cognitive radio systems. IEEE Transactions on Communications, 2020, vol. 68, no. 12, p. 7376–7394. DOI: 10.1109/TCOMM.2020.3020838
  13. LIVA, G., PAOLINI, E., CHIANI, M. Performance versus overhead for fountain codes over Fq. IEEE Communications Letters, 2010, vol. 14, no. 2, p. 178–180. DOI: 10.1109/LCOMM.2010.02.092080
  14. SEJDINOVIC, D., PIECHOCKI, R., DOUFEXI, A., et al. Decentralised distributed fountain coding: Asymptotic analysis and design. IEEE Communications Letters, 2010, vol. 14, no. 1, p. 42–44. DOI: 10.1109/LCOMM.2010.01.091541
  15. DANG, T. H., TRAN, T. D., TRAN, T. P., et al. Performance comparison between fountain codes-based secure MIMO protocols with and without using non-orthogonal multiple access. Entropy, 2019, vol. 21, no. 10, p. 1–23. DOI: 10.3390/e21100982
  16. LIU, X., LIM, T. J. Fountain codes over fading relay channels. IEEE Transactions on Wireless Communications, 2009, vol. 8, no. 6, p. 3278–3287. DOI: 10.1109/TWC.2009.081102
  17. TRAN, T. D., ANPALAGAN, A., KONG, H. Y. Multi-hop cooperative transmission using fountain codes over Rayleigh fading channels. Journal of Communications and Networks, 2012, vol. 14, no. 3, p. 267–272. DOI: 10.1109/JCN.2012.6253087
  18. DI, X., XIONG, K., FAN, P. et al. Simultaneous wireless information and power transfer in cooperative relay networks with rateless codes. IEEE Transactions on Vehicular Technology, 2017, vol. 66, no. 4, p. 2981–2996. DOI: 10.1109/TVT.2016.2588441
  19. LIM, W. J., ABBAS, R., LI, Y., et al. Analysis and design of analog fountain codes for short packet communications. IEEE Transactions on Vehicular Technology, 2021, vol. 70, no. 12, p. 12662–12674. DOI: 10.1109/TVT.2021.3118792
  20. TU, L.-T., NGUYEN, N. T., TRAN, T. D., et al. Broadcasting in cognitive radio networks: A fountain codes approach. IEEE Transactions on Vehicular Technology, 2022, vol. 71, no. 10, p. 11289–11294. DOI: 10.1109/TVT.2022.3188969
  21. TU, L.-T., DI RENZO, M., COON, P. System-level analysis of SWIPT MIMO cellular networks. IEEE Communications Letters, 2016, vol. 20, no. 10, p. 2011–2014. DOI: 10.1109/LCOMM.2016.2590424
  22. NGUYEN, Q. S., KONG, H. Y. Generalized diversity combining of energy harvesting multiple antenna relay networks: Outage and throughput performance analysis. Annals of Telecommunications, 2016, vol. 71, no. 5, p. 265–277. DOI: 10.1007/s12243-016-0508-9
  23. GRADSHTEYN, I. S., RYZHIK, I. M. Table of Integrals, Series, and Products. 7th ed., Oxford (UK): Elsevier/Academic Press, 2007. ISBN: 9780080471112
  24. NGUYEN, N. T., TRAN, T. P., NGUYEN, H. S., et al. On the performance of a wireless powered communication system using a helping relay. Radioengineering, 2017, vol. 26, no. 3, p. 860–868. DOI: 10.13164/re.2017.0860
  25. DIGITAL LIBRARY OFMATHEMATICAL FUNCTIONS: DLMF. Incomplete Gamma and Related Functions. [Online] Cited 2022-08-02. Available at:
  26. AUER, G., GIANNINI, V., DESSET, C., et al. How much energy is needed to run a wireless network? IEEE Wireless Communications, 2011, vol. 18, no. 5, p. 40–49. DOI: 10.1109/MWC.2011.6056691
  27. NGUYEN, N. T., TRAN, T. D., LUU, G. T., et al. Energy harvestingbased spectrum access with incremental cooperation, relay selection and hardware noises. Radioengineering, 2017, vol. 26, no. 1, p. 240–250. DOI: 10.13164/re.2017.0240
  28. DI RENZO, M., TU, L. T., ZAPPONE, A., et al. A tractable closedform expression of the coverage probability in Poisson cellular networks. IEEE Wireless Communications Letters, 2018, vol. 8, no. 1, p. 249–252. DOI: 10.1109/LWC.2018.2868753
  29. SIMKA, M., POLAK, L. On the RSSI-based indoor localization employing LoRa in the 2.4 GHz ISM band. Radioengineering, 2022, vol. 31, no. 1, p. 135–143. DOI: 10.13164/re.2022.0135
  30. POLAK, L., PAUL, F., SIMKA, M., et al. On the interference between LoRa and bluetooth in the 2.4 GHz unlicensed band. In 32nd International Conference Radioelektronika (RADIOELEKTRONIKA). Kosice (Slovakia), 2022, p. 1–4. DOI: 10.1109/radioelektronika54537.2022.9764912
  31. TU, L. T., BRADAI, A., AHMED, O. B., et al. Energy efficiency optimization in LoRa networks - A deep learning approach. IEEE Transactions on Intelligent Transport Systems, Early Access, p. 1–13. DOI: 10.1109/TITS.2022.3183073

Keywords: Broadcasting networks, cognitive radio, fountain codes, maximal ratio transmission, performance analysis

R. Ondica, M. Kovac, A.Hudec, R.Ravasz, D. Maljar, V. Stopjakova, D. Arbet [references] [full-text] [DOI: 10.13164/re.2023.0011] [Download Citations]
An Overview of Fully On-Chip Inductors

This paper focuses on full integration of passive devices, especially inductors with emphasis on multi-layer stacked (MLS) structures of fully integrated inductors using patterned ground shield (PGS) and fully integrated capacitor. Comparison of different structures is focused on the main electrical parameters of integrated inductors (e.g. inductance L, inductance density LA, quality factor Q, frequency of maximum quality factor F Qmax, self-resonant frequency FSR, and series resistance R DC ) and other non-electrical parameters (e.g. required area, manufacturing process, purpose, etc.) that are equally important during comparison of the structures. Categorization of inductor structures with most significant results that was reported in the last years is proposed according to manufacturing process. Final geometrical and electrical properties of the structure in great manner accounts to the fabrication process of integrated passive device. This work offers an overview and state-of-the-art of the integrated inductors as well as manufacturing processes used for their fabrication. Second purpose of this paper is insertion of the proposed structure from our previous work among the other results reported in the last 7 years. With the proposed solution, one can obtain the highest inductance density L A = 23.59 nH/mm 2 and second highest quality factor Q = 10.09 amongst similar solutions reported in standard technologies that is also suitable competition for integrated inductors manufactured in advanced technology nodes.

  1. WENS, M., STEYAERT, M. Basic DC-DC converter theory. Chapter in Design and Implementation of Fully-Integrated Inductive DC-DC Converters in Standard CMOS. 1st ed., Springer Dordrecht, 2011, p. 27–63. ISBN: 9789400714359
  2. ONDICA, R., KOVAC, M., MALJAR, D., et al. Fully integrated multi-layer stacked structure of integrated inductor with patterned ground shield. In Proceedings of the 18th Biennial Baltic Electronics Conference (BEC). Tallinn (Estonia), 2022, p. 1–6. DOI: 10.1109/BEC56180.2022.9935589
  3. ONOHARA, J., TAKAGI, F., KIZU, T., et al. Development of the integrated passive device using through-glass-via substrate. In Proceedings of the International Conference on Electronics Packaging and iMAPS All Asia Conference (ICEP-IAAC). Mie (Japan), 2018, p. 19–22. DOI: 10.23919/ICEP.2018.8374661
  4. DING, Y., FANG, X., WU, R., et al. A new fan-out-packageembedded power inductor technology. IEEE Electron Device Letters, 2020, vol. 41, no. 2, p. 268–271. DOI: 10.1109/LED.2019.2962161
  5. DING, Y., FANG, X., WU, R., et al. Fan-out-package-embedded coupled inductors for integrated voltage conversion. In Proceedings of the 32nd International Symposium on Power Semiconductor Devices and ICs (ISPSD). Vienna (Austria), 2020, p. 356–359. DOI: 10.1109/ISPSD46842.2020.9170128
  6. DING, Y., FANG, X., WU, R., et al. A suspended thickwinding inductor for integrated voltage regulator applications. IEEE Electron Device Letters, 2020, vol. 41, no. 1, p. 95–98. DOI: 10.1109/LED.2019.2953554
  7. DANG, Z., JIA, H., DENG, W., et al. Optimization methods for high inductance-density inductors for high speed integrated circuits. In Proceedings of the IEEE International Conference on Integrated Circuits, Technologies and Applications (ICTA). Zhuhai (China), 2021, p. 243–244. DOI: 10.1109/ICTA53157.2021.9661966
  8. LAMBERT,W. J., HILL, M. J., RADHAKRISHNAN, K., et al. Package inductors for intel fully integrated voltage regulators. IEEE Transactions on Components, Packaging and Manufacturing Technology, 2016, vol. 6, no. 1, p. 3–11. DOI: 10.1109/TCPMT.2015.2505665
  9. ZOU, P., XIE, Q., SONG, W., et al. Powering 5G era computing platforms - the road toward integrated power delivery. In Proceedings of the 31st International Symposium on Power Semiconductor Devices and ICs (ISPSD). Shanghai (China), 2019, p. 1–6. DOI: 10.1109/ISPSD.2019.8757569
  10. KRISHNAMURTHY, H. K., VAIDYA, V., KUMAR, P., et al. A digitally controlled fully integrated voltage regulator with on-die solenoid inductor with planar magnetic core in 14-nm tri-gate CMOS. IEEE Journal of Solid-State Circuits, 2018, vol. 53, no. 1, p. 8–19. DOI: 10.1109/JSSC.2017.2759117
  11. SUN, D., LI, X. The inductance comparison of transmission line and conventional spiral inductor. In Proceedings of the IEEE 5th International Symposium on Electromagnetic Compatibility (EMC-Beijing). Beijing (China), 2017, p. 1–3. DOI: 10.1109/EMC-B.2017.8260483
  12. TALEKAR, P. M., PULIJALA, V. Wideband tunable radio frequency integrated circuit inductors integrated with domain-patterned permalloy. IEEE Magnetics Letters, 2021, vol. 12, p. 1–5. DOI: 10.1109/LMAG.2021.3115046
  13. LV, G., LIAO, N., DING, Y., et al. A high-efficiency double-side silicon-embedded inductor for integrated DC-DC converter applications. IEEE Transactions on Electron Devices, 2021, vol. 68, no. 9, p. 4801–4804. DOI: 10.1109/TED.2021.3096923
  14. HE, Y., WANG, L., WANG, Y., et al. On-chip solenoid power inductors with nanogranular magnetic cores. In Proceedings of the IEEE International Nanoelectronics Conference (INEC). Chengdu (China), 2016, p. 1–2. DOI: 10.1109/INEC.2016.7589378
  15. SUN, Y., DENG,W., CHI, B. A FoM of –191 dB, 4.4-GHz LC-VCO integrating an 8-shaped inductor with an orthogonal-coupled tailfiltering inductor. In Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS). Seville (Spain), 2020, p. 1–4. DOI: 10.1109/ISCAS45731.2020.9180559
  16. FANG, X., MAK,T. H.,GAO,Y., et al.Alowsubstrate loss, monolithically integrated power inductor for compactLEDdrivers. In Proceedings of the IEEE 27th International Symposium on Power Semiconductor Devices & IC’s (ISPSD). Hong Kong (China), 2015, p. 53–56. DOI: 10.1109/ISPSD.2015.7123387
  17. LE, H. T.,NOUR,Y., PAVLOVIC, Z., et al. High-Q three-dimensional microfabricated magnetic-core toroidal inductors for power supplies in package. IEEE Transactions on Power Electronics, 2019, vol. 34, no. 1, p. 74–85. DOI: 10.1109/TPEL.2018.2847439
  18. XU, T., SUN, J., WU, H., et al. 3D MEMS in-chip solenoid inductor with high inductance density for power MEMS device. IEEE Electron Device Letters, 2019, vol. 40, no. 11, p. 1816–1819. DOI: 10.1109/LED.2019.2941003
  19. CHEN, C.-L., HSU, Y.-C., HSIEH, J.-S. et al. Ultra-low-resistance 3D InFO inductors for integrated voltage regulator applications. In Proceedings of the IEEE International Electron Devices Meeting (IEDM). San Francisco (CA, USA), 2016, p. 35.2.1–35.2.4. DOI: 10.1109/IEDM.2016.7838546
  20. WANG, N., DORIS, B. B., SHEHATA, A. B., et al. High-Q magnetic inductors for high efficiency on-chip power conversion. In Proceedings of the IEEE International Electron Devices Meeting (IEDM). San Francisco (CA, USA), 2016, p. 35.3.1–35.3.4. DOI: 10.1109/IEDM.2016.7838547
  21. PENG, L., ALI, Z., SELVARAJ, L., et al. Silicon-based ultimate miniature magnetic inductors technology for high-efficiency DC-DC conversion. In Proceedings of the 32nd International Symposium on Power Semiconductor Devices and ICs (ISPSD). Vienna (Austria), 2020, p. 384–387. DOI: 10.1109/ISPSD46842.2020.9170162
  22. TANG, N., HONG, W., NGUYEN, B., et al. Fully integrated switched-inductor-capacitor voltage regulator with 0.82-A/mm2 peak current density and 78% peak power efficiency. IEEE Journal of Solid-State Circuits, 2021, vol. 56, no. 6, p. 1805–1815. DOI: 10.1109/JSSC.2020.3036394
  23. SCHAEF, C., DESAI, N., KRISHNAMURTHY, H. K., et al. A lightload efficient fully integrated voltage regulator in 14-nm CMOS with 2.5-nH package-embedded air-core inductors. IEEE Journal of Solid-State Circuits, 2019, vol. 54, no. 12, p. 3316–3325. DOI: 10.1109/JSSC.2019.2946218
  24. LEE, M., CHOI, Y., KIM, J. A 500-MHz, 0.76-W/mm power density and 76.2% power efficiency, fully integrated digital buck converter in 65-nm CMOS. IEEE Transactions on Industry Applications, 2016, vol. 52, no. 4, p. 3315–3323. DOI: 10.1109/TIA.2016.2541079
  25. BHARATH, K., RADHAKRISHNAN, K., HILL, M. J., et al. Integrated voltage regulator efficiency improvement using coaxial magnetic composite core inductors. In Proceedings of the IEEE 71st Electronic Components and Technology Conference (ECTC). San Diego (CA, USA), 2021, p. 1286–1292. DOI: 110.1109/ECTC32696.2021.00208
  26. SANKARASUBRAMANIAN, M., RADHAKRISHNAN, K., MIN, Y., et al. Magnetic inductor arrays for Intel® fully integrated voltage regulator (FIVR) on 10th generation Intel® Core™ SoCs. In Proceedings of the IEEE 70th Electronic Components and Technology Conference (ECTC). Orlando (FL, USA), 2020, p. 399–404. DOI: 10.1109/ECTC32862.2020.00071
  27. ALVAREZ, C., SURESH, S., SWAMINATHAN, M., et al. Design and demonstration of single and coupled embedded toroidal inductors for 48V to 1V integrated voltage regulators. In Proceedings of the IEEE 70th Electronic Components and Technology Conference (ECTC). Orlando (FL, USA), 2020, p. 405–413. DOI: 10.1109/ECTC32862.2020.00072
  28. SANJANA, R. K., NIKHIL, K. CH., SUKRUTHA, CH., et al. Design of high quality factor symmetrical differential inductor using intercalated-graphene. In Proceedings of the 2nd International Conference on Intelligent Technologies (CONIT). Hubli (India), 2022, p. 1–4. DOI: 10.1109/CONIT55038.2022.9847951
  29. SELVARAJ, S. L., HAUG, M., CHENG, C. S., et al. On-chip thin film inductor for high frequency DC-DC power conversion applications. In Proceedings of the IEEE Applied Power Electronics Conference and Exposition (APEC). New Orleans (LA, USA), 2020, p. 176–180. DOI: 10.1109/APEC39645.2020.9124544
  30. NOVELLO, A., ATZENI, G., KUNZLI, J., et al.A1.25-GHz fully integrated DC-DC converter using electromagnetically coupled class-D LC oscillators. IEEE Journal of Solid-State Circuits, 2021, vol. 56, no. 12, p. 3639–3654. DOI: 10.1109/JSSC.2021.3112129
  31. STURCKEN, N., DAVIES, R., WU, H., et al. Magnetic thinfilm inductors for monolithic integration with CMOS. In Proceedings of the IEEE International Electron Devices Meeting (IEDM). Washington (DC, USA), 2015, p. 11.4.1–11.4.4. DOI: 10.1109/IEDM.2015.7409676
  32. LAMBERT, W. J., HILL, M. J., O’BRIEN, K. P. et al. Study of thin-film magnetic inductors applied to integrated voltage regulators. IEEE Transactions on Power Electronics, 2020, vol. 35, no. 6, p. 6208–6220. DOI: 10.1109/TPEL.2019.2948825
  33. YU, J., KIM, D., HAN, I., et al. Demonstration of substrate embedded Ni-Zn ferrite core solenoid inductors using a photosensitive glass substrate. In Proceedings of the IEEE 72nd Electronic Components and Technology Conference (ECTC). San Diego (CA, USA), 2022, p. 296–300. DOI: 10.1109/ECTC51906.2022.00055
  34. MURALI, P., AVULA, V., AHMED, M., et al. Fabrication and characterization of package embedded inductors for integrated voltage regulators. In Proceedings of the IEEE 72nd Electronic Components and Technology Conference (ECTC). San Diego (CA, USA), 2022, p. 301–305. DOI: 10.1109/ECTC51906.2022.00056
  35. MCLAUGHLIN, P. H., XIA, Z., STAUTH, J. T. A monolithic resonant switched-capacitor voltage regulator with dual-phase merged-LC resonator. IEEE Journal of Solid-State Circuits, 2020, vol. 55, no. 12, p. 3179–3188. DOI: 10.1109/JSSC.2020.3023884
  36. CHO, J. H., KIM, D. K., BAE, H. H., et al. A 1.23W/mm2 83.7%-efficiency 400MHz 6-phase fully integrated buck converter in 28nm CMOS with on-chip capacitor dynamic re-allocation for inter-inductor current balancing and fast DVS of 75mV/ns. In Proceedings of the IEEE International Solid- State Circuits Conference (ISSCC). San Francisco (CA, USA), 2022, p. 1–3. DOI: 10.1109/ISSCC42614.2022.9731726
  37. CHO, J. H., BAE, H. H., LIM, G. W., et al. A fullyintegrated 0.9W/mm2 79.1%-efficiency 200MHz multi-phase buck converter with flying-capacitor-based inter-inductor current balancing technique. In Proceedings of the IEEE Symposium on VLSI Technology and Circuits (VLSI Technology and Circuits). Honolulu (HI, USA), 2022, p. 196–197. DOI: 10.1109/VLSITechnologyandCir46769.2022.9830282
  38. ROYET, A. S., MICHEL, J. P., REIG, B., et al. Design of optimized high Q inductors on SOI substrates for RF ICs. In Proceedings of the IEEE International Conference on Electronics, Circuits and Systems (ICECS). Monte Carlo (Monaco), 2016, p. 324–327. DOI: 10.1109/ICECS.2016.7841198
  39. MA, R., LU, F., CHEN, Q., et al. A 2.22-2.92GHz LC-VCO demonstrated with an integrated magnetic-enhanced inductor in 180nm SOI CMOS. In Proceedings of the IEEE Radio Frequency Integrated Circuits Symposium (RFIC). San Francisco (CA, USA), 2016, p. 110–113. DOI: 10.1109/RFIC.2016.7508263
  40. TIWARI, S., VANUKURU, V. N. R., MUKHERJEE, J. Noise figure analysis of 2.5 GHz folded cascode LNA using high-Q layout optimized inductors. In Proceedings of the IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics (PrimeAsia). Hyderabad (India), 2015, p. 94–97. DOI: 10.1109/PrimeAsia.2015.7450477
  41. VANUKURU, V. N. R. Alternate layer wound symmetrical inductor with high-Q characteristics for differential RFICs. In Proceedings of the International conference on Microelectronic Devices, Circuits and Systems (ICMDCS). Vellore (India), 2017, p. 1–3. DOI: 10.1109/ICMDCS.2017.8211713
  42. VANUKURU, V. N. R. Enhanced Q improvement in rectangular shaped inductors with tapered spirals. In Proceedings of the IEEE MTT-S International Microwave and RF Conference (IMaRC). Kolkata (India), 2018, p. 1–3. DOI: 10.1109/IMaRC.2018.8877291
  43. DUNN, J. S., AHLGREN, D. C., COOLBAUGH, D. D., et al. Foundation of RF CMOS and SiGe BiCMOS technologies. IBM Journal of Research and Development, 2003, vol. 47, no. 2.3, p. 101–138. DOI: 10.1147/rd.472.0101
  44. WERNER, K. Overview and evolution of silicon wafer cleaning technology. Chapter in Handbook of Silicon Wafer Cleaning Technology. 3rd ed., William Andrew Publishing, 2018, p. 3–85. ISBN: 9780323510844
  45. BAKER, R. J. CMOS: Circuit Design, Layout, and Simulation. 3rd ed., Wiley, 2010. ISBN: 9781118038239
  46. CHENG, J.,WONG,W.,WANG, X., et al. Novel RF CMOS symmetric inductor with stacked multi layer/finger structure. In Proceedings of the 2014 12th IEEE International Conference on Solid-State and Integrated Circuit Technology (ICSICT). Guilin (China), 2014, p. 1–3. DOI: 10.1109/ICSICT.2014.7021471
  47. XU, X., LI, P., CAI, M., et al. Design of novel high-Qfactor multipath stacked on-chip spiral inductors. IEEE Transactions on Electron Devices, 2012, vol. 59, no. 8, p. 2011–2018. DOI: 10.1109/TED.2012.2197626
  48. LOPEZ-VILLEGAS, J. M., SAMITIER, J., CANE, C., et al. Improvement of the quality factor of RF integrated inductors by layout optimization. IEEE Transactions on Microwave Theory and Techniques, 2000, vol. 48, no. 1, p. 76–83. DOI: 10.1109/22.817474
  49. VANUKURU, V. N. R., CHAKRAVORTY, A. Series stacked multipath inductor with high self resonant frequency. IEEE Transactions on Electron Devices, 2015, vol. 62, no. 3, p. 1058–1062. DOI: 10.1109/TED.2015.2390293
  50. YIM, S., CHEN, T., O, K. K. The effects of a ground shield on the characteristics and performance of spiral inductors. IEEE Journal of Solid-State Circuits, 2002, vol. 37, no. 2, p. 237–244. DOI: 10.1109/4.982430
  51. ROYET, A. S., BARBE, J. C., VALORGE, O., et al. Experimental and simulation results on Si integrated inductor efficiency for smart RF-ICs. In Proceedings of the 21st IEEE International Conference on Electronics, Circuits and Systems (ICECS). Marseille (France), 2014, p. 367–370. DOI: 10.1109/ICECS.2014.7049998
  52. YUE, C.P., WONG, S.S. On-chip spiral inductors with patterned ground shields for Si-based RF ICs. IEEE Journal of Solid-State Circuits, 1998, vol. 33, no. 5, p. 743–752. DOI: 10.1109/4.668989
  53. BARWICZ, T., BRUCE, R. L., KAMLAPURKAR, S. Far Back End of the Line Stack Encapsulation (United States Patent 8932956). 14 pages. [Online] Cited 2022-11-24. Available at:
  54. SEMICONDUCTOR INDUSTRY ASSOCIATION. Interconnect. In 2009 International Technology Roadmap for Semiconductors (ITRS). [Online] Cited 2022-11-24. Available at:
  55. CELLER, G. K., CRISTOLOVEANU, S. Frontiers of siliconon-insulator. Journal of Applied Physics, 2003, vol. 93, no. 9, p. 4955–4978. DOI: 10.1063/1.1558223
  56. VANUKURU, V. N. R., CHAKRAVORTY, A. Integrated layout optimized high-g inductors on high-resistivity SOI substrates for RF frontend modules. In Proceedings of the International Conference on Signal Processing and Communications (SPCOM). Bangalore (India), 2014, p. 1–5. DOI: 10.1109/SPCOM.2014.6984015
  57. YU, D.,HUANG, Z., XIAO, Z., et al. Embedded Si fan out: Alowcost wafer level packaging technology without molding and de-bonding processes. In Proceedings of the IEEE 67th Electronic Components and Technology Conference (ECTC). Orlando (FL, USA), 2017, p. 28–34. DOI: 10.1109/ECTC.2017.166
  58. DING, Y., FANG, X., WU, R., et al. A silicon molded metal transfer process for on-chip suspended power inductors. In Proceedings of the 20th International Conference on Solid-State Sensors, Actuators and Microsystems & Eurosensors XXXIII (TRANSDUCERS & EUROSENSORS XXXIII). Berlin (Germany), 2019, p. 142–145. DOI: 10.1109/TRANSDUCERS.2019.8808586
  59. WARTENBERG, A. S. RF Measurements of Die and Packages. London (UK): Artech House, 2002. ISBN: 9781580532730
  60. BAHL, J. I. Lumped Elements for RF and Microwave Circuits. London (UK): Artech House, 2003. ISBN: 9781580536615
  61. GARDNER, D. S., SCHROM, G., HAZUCHA, P., et al. Integrated on-chip inductors with magnetic films. In Proceedings of the International Electron Devices Meeting. San Francisco (CA, USA), 2006, p. 1–4. DOI: 10.1109/IEDM.2006.347002
  62. ALVAREZ, C., MURALI, P., SWAMINATHAN, M., et al. Demonstration of a high-inductance, high-density, and low DC resistance compact embedded toroidal inductor for IVR. In Proceedings of the IEEE 71st Electronic Components and Technology Conference (ECTC). San Diego (CA, USA), 2021, p. 1293–1299. DOI: 10.1109/ECTC32696.2021.00209
  63. UNITED MICROELECTRONICS CORPORATION. UMC Technology Options. 1 page. [Online] Cited 2022-11-24. Available at:

Keywords: Fully Integrated Inductor, Fully Integrated Capacitor, Integrated Passive Device, Silicon Embedded Inductor, Air Core Inductor, Magnetic Core Inductor

F. A. Feng, F. F. Yang,C. Chen, C. L. Zhao [references] [full-text] [DOI: 10.13164/re.2023.0023] [Download Citations]
Jointly Optimized Design of Distributed Goppa Codes and Decoding

In order to improve the adverse influence of fading channel in communication system, a distributed Goppa coding scheme is proposed in this paper. Two Goppa codes are set at the source node and the relay node in this scheme respectively. An optimal design criterion at the relay is proposed to obtain the optimal joint resultant code at the destination. Furthermore, two novel joint decoding algorithms are proposed to enhance the overall BER performance of the proposed scheme. Monte Carlo simulations show that the proposed distributed Goppa coding scheme outperforms the non-cooperative scheme. Moreover, the proper information selection approach at the relay performs better than random selection in the proposed distributed Goppa coding scheme.

  1. SHANKAR, P. M. Fading and Shadowing in Wireless Systems. 2nd ed., rev. USA: Springer Nature, 2017. ISBN: 978-3-319-53198-4
  2. PAULRAJ, A. J., GORE, D. A., NABAR, R. U., et al. An overview of MIMO communications - A key to gigabit wireless. Proceedings of the IEEE, 2004, vol. 92, no. 2, p. 198 to 218. DOI: 10.1109/JPROC.2003.821915
  3. COVER, T. M. GAMEL, A. Capacity theorems for the relay channel. IEEE Transactions on Information Theory, 1979, vol. 25, no. 5, p. 572–584. DOI: 10.1109/TIT.1979.1056084
  4. OU, Q., HOU, X., LIU, F., et al. Joint partial relay and antenna selection for full-duplex amplify-and-forward relay networks. In Proceedings of the 9th International Conference Wireless Internet (WICON2016). Haikou (China), 2016, p. 149–154. DOI: 10.1007/978-3-319-72998-5_16
  5. DAI, L., YU, L., MA, Z. Compress-and-forward strategy for the relay broadcast channel with confidential messages. In Proceedings of 2016 IEEE International Conference on Communications Workshops (ICC). Kuala Lumpur (Malaysia), 2016, p. 254–259. DOI: 10.1109/ICCW.2016.7503796
  6. HAN, L. Ergodic capacity upper bound for multi-hop full-duplex decode-and-forward relaying. In Proceedings of International Conference in Communications, Signal Processing, and Systems. 2018, p. 157–164. DOI: 10.1007/978-981-10-3229-5_17
  7. WANG, H., CHEN, Q. LDPC based network coded cooperation design for multi-way relay networks. IEEE Access, 2019, vol. 7, p. 62300–62311. DOI: 10.1109/ACCESS.2019.2915293
  8. EJAZ, S., YANG, F. Turbo codes with modified code matched interleaver for coded-cooperation in half-duplex wireless relay networks. Frequenz, 2015, vol. 69, no. 3-4, p. 171–184. DOI: 10.1515/freq-2014-0072
  9. BLASCO-SERRANO, R., THOBABEN, R., ANDERSSON, M., et al. Polar codes for cooperative relaying. IEEE Transactions on Communications, 2012, vol. 60, no. 11, p. 3263–3273. DOI: 10.1109/TCOMM.2012.081412.110266
  10. UMAR, R., YANG, F., MUGHAL, S. Distributed Reed Muller code with multiple relays for cooperative broadband wireless networks. Radioelectronics and Communications Systems, 2019, vol. 62, no. 9, p. 449–461. DOI: 10.3103/S0735272719090024
  11. CHEN, B., FLANAGAN, M. F. Network-turbo-coding-based cooperation with distributed space-time block codes. Transactions on Telecommunications, 2015, vol. 26, no. 6, p. 992–1002. DOI: 10.1002/ett.2780
  12. LIU, Y., PANG, B., ZHANG, Y., et al. Diversity of distributed linear convolutive space-time codes on fast fading Rayleigh channels. In Proceedings of 2016 International Conference on Computing, Networking and Communications (ICNC). Kauai (HI, USA), 2016, p. 1–5. DOI: 10.1109/ICCNC.2016.7440676
  13. QIU, J., CHEN, L., LIU, S. A novel concatenated coding scheme: RS-SC-LDPC codes. IEEE Communications Letters, 2020, vol. 24, no. 10, p. 2092–2095. DOI: 10.1109/LCOMM.2020.3004917
  14. DONG, Y., NIU, K., DAI, S., et al. Joint source and channel coding using double polar codes. IEEE Communications Letters, 2021, vol. 25, no. 9, p. 2810–2814. DOI: 10.1109/LCOMM.2021.3088941
  15. GUO, P., YANG, F., ZHAO, C., et al. Jointly optimized design of distributed Reed-Solomon codes by proper selection in relay. Telecommunication Systems, 2021, vol. 78, no. 3, p. 391–403. DOI: 10.1007/s11235-021-00822-w
  16. MUGHAL, S., YANG, F., XU, H., et al. Coded cooperative spatial modulation based on multi-level construction of polar code. Telecommunication Systems, 2019, vol. 70, no. 3, p. 435–446. DOI: 10.1007/s11235-018-0485-6
  17. TSFASMAN, M. A., VLADUT, G., ZINK, T. Modular curves, Shimura curves, and Goppa codes better than the Varshamov-Gilbert bound. Mathematische Nachrichten, 1982, vol. 109, p. 21–28.
  18. MACWILLIAMS, F. J., SLOANE, N. J. A. The Theory of Error-Correcting Codes. North-Holland Publishing Company, 1977. ISBN: 978-0444851932
  19. SUGIYAMA, Y., KASAHARA, M., HIRASAWA, S., et al. A method for solving key equation for decoding Goppa codes. Information and Control, 1975, vol. 27, no. 1, p. 87–99. DOI: 10.1016/S0019-9958(75)90090-X
  20. SUGIYAMA, Y., KASAHARA, M., HIRASAWA, S., et al. An erasures-and-errors decoding algorithm for Goppa codes. IEEE Transactions on Information Theory, 1976, vol. 22, no. 2, p. 238–241. DOI: 10.1109/TIT.1976.1055517
  21. GOLDSMITH, A. Wireless Communications. 1st ed. London (UK): Cambridge University Press, 2005. ISBN: 9780521837163
  22. LIN, S. Error Control Coding. 2nd ed., rev. Englewood Cliffs (USA): Prentice-Hall, 2004. ISBN: 978-1-4613-6787-1

Keywords: Goppa codes, distributed coding schemes, joint decoding algorithms

Y. Liu, X. Rao, X. Zhu, H. Yi, J. Hu [references] [full-text] [DOI: 10.13164/re.2023.0033] [Download Citations]
A Weak Target Detection Algorithm IAR-STFT Based on Correlated K-distribution Sea Clutter Model

The detection performance of weak target on sea is affected by the special effects of sea clutter amplitude. Aiming at the time and space correlated of sea clutter, the correlated K-distribution sea clutter model is established by the sphere invariant random process algorithm. To solve the problems of range migration (RM) and Doppler frequency migration (DFM) of moving target in the case of long-time coherent accumulation, a novel integration detection algorithm, improved axis rotation short-time Fourier transform (IAR-STFT) is proposed in this paper, which is based on a generalization of traditional Fourier transform (FT) algorithm and combined with improved axis rotation. IAR-STFT not only can eliminate the RM effect by searching for the target motion parameters, but also can divide the non-stationary echo signal without range migration into several blocks. Each block of signal can be regarded as a stationary signal without DFM and FFT is performed on each signal separately. The signals of each block are accumulated to detect the target in the background of the above sea clutter. Finally, the effectiveness of the algorithm is verified by simulation. The results show that the detection ability of this algorithm is better than that of Radon-fractional Fourier transform, generalized Radon Fourier transform and Radon-Lv's distribution in low SNR environment, e.g., when the SNR is -45dB, the detection ability of this algorithm is about 55%, which is higher than that of Radon-fractional Fourier transform, generalized Radon Fourier transform and Radon-Lv's distribution.

  1. SIMON, R. A., VINOD KUMAR, P. B. A nonlinear sea clutter analysis using chaotic system. In 2013 Fourth International Conference on Computing, Communications and Networking Technologies (ICCCNT). Tiruchengode (India), 2013, p. 1–5. DOI: 10.1109/ICCCNT.2013.6726729
  2. LIU, H. Y., XIONG, W., SONG, J. Analysis of sea clutter characteristics at high grazing angle. In 2017 International Conference on Computer Systems, Electronics and Control (ICCSEC). Dalian (China), 2017, p. 216–220. DOI: 10.1109/ICCSEC.2017.8446829
  3. YANG, B. Y., JIANG, M., WANG, J. M. Analysis of extendibility of sea clutter model in high sea states based on measured data. In 2022 3rd International Conference on Computer Vision, Image and Deep Learning & International Conference on Computer Engineering and Applications (CVIDL & ICCEA). Changchun (China), 2022, p. 140–143. DOI: 10.1109/CVIDLICCEA56201.2022.9825361
  4. ZHOU, J., CHEN, D., SUN, D. W. K distribution sea clutter modeling and simulation based on ZMNL. In 2015 8th International Conference on Intelligent Computation Technology and Automation (ICICTA). Nanchang (China), 2015, p. 506–509. DOI: 10.1109/ICICTA.2015.279
  5. MARIER, L. J. Correlated K-distributed clutter generation for radar detection and track. IEEE Transactions on Aerospace and Electronic Systems, 1995, vol. 31, no. 2, p. 568–580. DOI: 10.1109/7.381906
  6. CHEN, X. L., YONG, H., GUAN, J., et al. Sea clutter suppression and moving target detection method based on clutter map cancellation in FRFT domain. In Proceedings of 2011 IEEE CIE International Conference on Radar. Chengdu (China), 2011, p. 438–441. DOI: 10.1109/CIE-Radar.2011.6159571
  7. CHEN, X. L., SONG, J., GUAN, J., et al. Moving target detection at sea based on fractal characters in FRFT domain. In 2011 IEEE RadarCon (RADAR). Kansas City (MO, USA), 2011, p. 001–005. DOI: 10.1109/RADAR.2011.5960488
  8. HUANG, X., TANG, S. Y., ZHANG, L. R., et al. Low-observable maneuvering target detection based on Radon-advanced discrete chirp Fourier transform. In 2017 IEEE Radar Conference (RadarConf). Seattle (WA, USA), 2017, p. 0735–0738. DOI: 10.1109/RADAR.2017.7944300
  9. CHEN, X., JIAN, G., LIU, N., et al. Maneuvering target detection via radon-fractional Fourier transform-based long-time coherent integration. IEEE Transactions on Signal Processing, 2014, vol. 62, no. 4, p. 939–953. DOI: 10.1109/TSP.2013.2297682
  10. XU, J., PENG, Y. N., XIA, X. G., et al. Radon-Fourier transform for radar target detection (I): Generalized Doppler filter bank. IEEE Transactions on Aerospace and Electronic Systems, 2011, vol. 47, no. 2, p. 1186–1202. DOI: 10.1109/TAES.2011.5751251
  11. XU, J., YU, J., PENG, Y. N., et al. Radon-Fourier transform for radar target detection (II): Blind speed sidelobe suppression. IEEE Transactions on Aerospace and Electronic Systems, 2011, vol. 47, no. 4, p. 2473–2489. DOI: 10.1109/TAES.2011.6034645
  12. NI, R., FAN, C. Y., HUANG, X. T., et al. An improved track-before-detection algorithm based on dynamic neighborhood search. In 2017 International Conference on Computing Intelligence and Information System (CIIS). Nanjing (China), 2017, p. 150–154. DOI: 10.1109/CIIS.2017.31
  13. BAO, Z. C., JIANG, Q. X., LIU, F. Z. Multiple model efficient particle filter based track-before-detect for maneuvering weak targets. Journal of Systems Engineering and Electronics, 2020, vol. 31, no. 4, p. 647–656. DOI: 10.23919/JSEE.2020.000040
  14. TAO, R., ZHANG, N., WANG, Y. C. Analysing and compensating the effects of range and Doppler frequency migrations in linear frequency modulation pulse compression radar. IET Radar, Sonar & Navigation, 2011, vol. 5, no. 1, p. 12 to 22. DOI: 10.1049/iet-rsn.2009.0265
  15. SUN, Z., LI, X., CUI, G., et al. A fast approach for detection and parameter estimation of maneuvering target with complex motions in coherent radar system. IEEE Transactions on Vehicular Technology, 2021, vol. 70, no. 10, p. 10278–10292. DOI: 10.1109/TVT.2021.3104659
  16. CAO, Y. F., WANG, W. Q., ZHANG, S. Long-time coherent integration for high-order maneuvering target detection via zero-trap line extraction. IEEE Transactions on Aerospace and Electronic Systems, 2021, vol. 57, no. 6, p. 4017–4027. DOI: 10.1109/TAES.2021.3082718
  17. ÇULHA, O., TANIK, Y. Low complexity keystone transform and radon Fourier transform utilizing chirp-z transform. IEEE Access, 2020, vol. 8, p. 105535–105541. DOI: 10.1109/ACCESS.2020.3000998
  18. LU, Y. F., KASAEIFARD, A., ORUKLU, E., et al. Performance evaluation of fractional Fourier transform (FrFT) for time-frequency analysis of ultrasonic signals in NDE applications. In 2010 IEEE International Ultrasonics Symposium. San Diego (CA, USA), 2010, p. 2028–2031. DOI: 10.1109/ULTSYM.2010.5935838
  19. CHEN, X. L., CAI, F. Q., CONG, Y., et al. Radon-fractional Fourier transform and its application to radar maneuvering target detection. In 2013 International Conference on Radar. Adelaide (SA, Australia), 2013, p. 346–350. DOI: 10.1109/RADAR.2013.6652011
  20. GAO, C., TAO, R., KANG, X. J. Weak target detection in the presence of sea clutter using radon-fractional Fourier transform canceller. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021, vol. 14, p. 5818–5830. DOI: 10.1109/JSTARS.2021.3078723
  21. RAO, X., TAO, H. H., SU, J., et al. Detection of constant radial acceleration weak target via IAR-FRFT. IEEE Transactions on Aerospace and Electronic Systems, 2015, vol. 51, no. 4, p. 3242 to 3253. DOI: 10.1109/TAES.2015.140739
  22. YU, J., XU, J., PENG, Y. N., et al. Radon-Fourier transform for radar target detection (III): Optimality and fast implementations. IEEE Transactions on Aerospace and Electronic Systems, 2012, vol. 48, no. 2, p. 991–1004. DOI: 10.1109/TAES.2012.6178044
  23. ZHANG, Y., XIONG, W., DONG, X. C., et al. Radial accelerated velocity estimation for moving ship target imaging based on GRFT in geosynchronous SAR. In 2019 International Applied Computational Electromagnetics Society Symposium - China (ACES). Nanjing (China), 2019, p. 1–2. DOI: 10.23919/ACES48530.2019.9060533
  24. XU, J., ZHOU, X., QIAN, L. C., et al. Hybrid integration for highly maneuvering radar target detection based on generalized radon-Fourier transform. IEEE Transactions on Aerospace and Electronic Systems, 2016, vol. 52, no. 5, p. 2554–2561. DOI: 10.1109/TAES.2016.150076
  25. YAO, D. H., ZHANG, X. Y., SUN, Z. B. Long-time coherent integration for maneuvering target based on second-order keystone transform and Lv’s distribution. Electronics, 2022, vol. 11, no. 13, p. 1–15. DOI: 10.3390/ELECTRONICS11131961
  26. LI, X. L., CUI, G. L., YI, W., et al. Coherent integration for maneuvering target detection based on Radon-Lv’s distribution. IEEE Signal Processing Letters, 2015, vol. 22, no. 9, p. 1467 to 1471. DOI: 10.1109/LSP.2015.2390777
  27. LV, X. L., BI, G. A., WAN, C. R., et al. Lv's distribution: Principle, implementation, properties, and performance. IEEE Transactions on Signal Processing, 2011, vol. 59, no. 8, p. 3576 to 3591. DOI: 10.1109/TSP.2011.2155651
  28. LUO, S., BI, G. A., LV, X. L., et al. Performance analysis on Lv distribution and its applications. Digital Signal Processing, 2013, vol. 23, no. 3, p. 797–807. DOI: 10.1016/j.dsp.2012.11.011
  29. RAO, X., TAO, H. H., SU, J., et al. Axis rotation MTD algorithm for weak target detection. Digital Signal Processing, 2014, vol. 26, p. 81–86. DOI: 10.1016/j.dsp.2013.12.003
  30. RAO, X., ZHONG, T. T., TAO, H. H., et al. Improved axis rotation MTD algorithm and its analysis. Multidimensional Systems and Signal Processing, 2019, vol. 30, no. 2, p. 885–902. DOI: 10.1007/s11045-018-0588-y
  31. KHAN, M. N., HASNAIN, S. K., JAMIL, M., et al. Electronic Signals and Systems: Analysis, Design and Applications. 1st ed. River Publishers, 2020, p. 329–343. ISBN: 978-8770221702
  32. ZHANG, X. Q., LIU, R. L. Analysis of linear FM signal based on the STFT in the filtering viewpoint. In 2018 IEEE 3rd International Conference on Signal and Image Processing (ICSIP). Shenzhen (China), 2018, p. 389–392. DOI: 10.1109/SIPROCESS.2018.8600426
  33. KIM, B., KONG, S. H., KIM, S. Low computational enhancement of STFT-based parameter estimation. IEEE Journal of Selected Topics in Signal Processing, 2015, vol. 9, no. 8, p. 1610–1619. DOI: 10.1109/JSTSP.2015.2465310
  34. YI, L., YAN L., HAN, N. Simulation of inverse Gaussian compound Gaussian distribution sea clutter based on SIRP. In 2014 IEEE Workshop on Advanced Research and Technology in Industry Applications (WARTIA). Ottawa (ON, Canada), 2014, p. 1026–1029. DOI: 10.1109/WARTIA.2014.6976451
  35. HU, Y. H., LUO, F., ZHANG, B. B., et al. Simulation of coherent correlation K-distribution sea clutter based on SIRP. In 2006 CIE International Conference on Radar. Shanghai (China), 2006, p. 1 to 4. DOI: 10.1109/ICR.2006.343185
  36. ZHAO, Y. Q., ZOU, Z. G., WU, L. W., et al. Frequency detection algorithm for frequency diversity signal based on STFT. In 2015 Fifth International Conference on Instrumentation and Measurement, Computer, Communication and Control (IMCCC). Qinhuangdao (China), 2015, p. 790–793. DOI: 10.1109/IMCCC.2015.173
  37. FOURER, D., AUGER, F., CZARNECKI, K., et al. Chirp rate and instantaneous frequency estimation: Application to recursive vertical synchrosqueezing. IEEE Signal Processing Letters, 2017, vol. 24, no. 11, p. 1724–1728. DOI: 10.1109/LSP.2017.2714578
  38. ZHANG, X. W., ZUO, L., YANG, D. D., et al. Coherent-like integration for PD radar target detection based on short-time Fourier transform. IET Radar, Sonar & Navigation, 2020, vol. 14, no. 1, p. 156–166. DOI: 10.1049/iet-rsn.2019.0190
  39. CHEN, T., LIU, L. Z., HUANG, X. S. LPI radar waveform recognition based on multi-branch MWC compressed sampling receiver. IEEE Access, 2018, vol. 6, p. 30342–30354. DOI: 10.1109/ACCESS.2018.2845102
  40. TAO, R., LI, Y. L., WANG, Y. Short-time fractional Fourier transform and its applications. IEEE Transactions on Signal Processing, 2010, vol. 58, no. 5, p. 2568–2580. DOI: 10.1109/TSP.2009.2028095
  41. HOU, H. L., PANG, C. S., GUO, H. L., et al. Study on high-speed and multi-target detection algorithm based on STFT and FRFT combination. Optik - International Journal for Light and Electron Optics, 2015, vol. 127, no. 2, p. 713-717. DOI: 10.1016/j.ijleo.2015.10.140
  42. DURAK, L., ARIKAN, O. Short-time Fourier transform: Two fundamental properties and an optimal implementation. IEEE Transactions on Signal Processing, 2003, vol. 51, no. 5, p. 1231 to 1242. DOI: 10.1109/TSP.2003.810293

Keywords: Correlated K-distribution, range migration, Doppler frequency migration, long time coherent accumulation; improved axis rotation short-time Fourier transform

K. Jurik, J. Stary, P. Drexler [references] [full-text] [DOI: 10.13164/re.2023.0044] [Download Citations]
Design and Fabrication of Birdcage Resonators for Low-pressure Plasma Excitation

This paper presents a design, analysis and optimization of birdcage resonators employed in a novel radiofrequency plasma source. Three resonators were simulated and fabricated. The resonators differ in their design and in the different materials of used dielectric – polyimide and polytetrafluorethylene (PTFE). The resonance frequency of fabricated samples possesses a maximal error of 2.2 % compared to the simulated values. The performance in plasma excitation is related to the electrical parameters, while the best performing resonator (PTFE-based) exhibits the maximum real impedance of 644.3 Ω at the resonance frequency and the 799.5 V/m electric field strength. This resonator shows the best power efficiency in a plasma ignition experiment. The resonator ignited the discharge at ca. 1 Pa of ambient air atmosphere with only 0.34 W of input radiofrequency power.

  1. HAYES, C. E., EDELSTEIN, W. A., SCHENCK, J. F., et al. An efficient, highly homogeneous radiofrequency coil for whole-body NMR imaging at 1.5 T. Journal of Magnetic Resonance (1969), 1985, vol. 63 no. 3, p. 622–628. DOI: 10.1016/0022-2364(85)90257-4
  2. PASCONE R. J., GARCIA, B. J., FITZGERALD T. M., et al. Generalized electrical analysis of low-pass and high-pass birdcage resonators. Magnetic Resonance Imaging, 1991, vol. 9, no. 3, p. 395–408. DOI: 10.1016/0730-725X(91)90428-O
  3. HAYES, C. E. The development of the birdcage resonator: A historical perspective. NMR in Biomedicine, 2009, vol. 22, no. 9. p. 908–918. DOI: 10.1002/nbm.1431
  4. FANTASIA, M., GALANTE, A., MAGGIORELLI, F., et al. Numerical and workbench design of 2.35 T double-tuned (¹H/²³Na) nested RF birdcage coils suitable for animal size MRI. IEEE Transactions on Medical Imaging, 2020, vol. 39, no. 10, p. 3175 to 3186. DOI: 10.1109/TMI.2020.2988599
  5. SON, H., AHMAD, S. F., CHOI, J., et al. Effect of distributed capacitance on the performance of birdcage type RF coil for 1 H MRI. In Proceedings of the International Symposium on Antennas and Propagation. Jeju (Korea), 2011, p. 52–58.
  6. KRIEGL-FRASS, R., NAVARRO DE LARA, L. I., PICHLER, M., et al. Flexible 23-channel coil array for high-resolution magnetic resonance imaging at 3 Tesla. PLoS One, Nov. 2018, vol. 13, no. 11, e0206963. DOI: 10.1371/journal.pone.0206963
  7. VIT, M., BURIAN M., BERKOVA, Z., et al. A broad tuneable birdcage coil for mouse 1H/19F MR applications. Journal of Magnetic Resonance, 2021, vol. 329, p. 1–10. DOI: 10.1016/j.jmr.2021.107023
  8. AHMAD, S. F., KIM, Y. C., CHOI, I. C., et al. Recent progress in birdcage RF coil technology for MRI system. Diagnostics, 2020, vol. 10, no. 12, p. 1–19. DOI: 10.3390/diagnostics10121017
  9. GUITTIENNE, P., CHEVALIER, E., HOLLENSTEIN, C. Towards an optimal antenna for helicon waves excitation. Journal of Applied Physics, 2005, vol. 98, no. 8, p. 1–6. DOI: 10.1063/1.2081107
  10. GUITTIENNE, P., HOWLING, A. A., HOLLENSTEIN, C. Analysis of resonant planar dissipative network antennas for rf inductively coupled plasma sources. Plasma Sources Science and Technology, 2014, vol. 23, no. 1, p. 1–13. DOI: 10.1088/0963-0252/23/1/015006
  11. HOWLING, A. A., GUITTIENNE, P., JACQUIER, R., et al. Complex image method for RF antenna-plasma inductive coupling calculation in planar geometry. Part I: Basic concepts. Plasma Sources Science and Technology, 2015, vol. 24, no. 6, p. 1–8. DOI: 10.1088/0963-0252/24/6/065014
  12. GUITTIENNE, P., JACQUIER, R., POURADIER, B., et al. Helicon wave plasma generated by a resonant birdcage antenna: Magnetic field measurements and analysis in the RAID linear device. Plasma Sources Science and Technology, 2021, vol. 30, no. 7, p. 1–14. DOI: 10.1088/1361-6595/ac0da3
  13. SEO, J. H., CHUNG, J. Y. A preliminary study for reference RF coil at 11.7 T MRI: Based on electromagnetic field simulation of hybrid-BC RF coil according to diameter and length at 3.0, 7.0 and 11.7 T. Sensors, Feb. 2022, vol. 22, no. 4, p. 1–26. DOI: 10.3390/s22041512
  14. SEO, J.-H., HAN, Y., CHUNG, J.-Y. A comparative study of birdcage RF coil configurations for ultra-high field magnetic resonance imaging. Sensors, Feb. 2022, vol. 22, no. 5, p. 1741 to 1760. DOI: 10.3390/s22051741
  15. JURIK, K., DREXLER, P., NESPOR, D., et al. Parametric optimization of a birdcage resonator for low-pressure plasma excitation. In Progress in Electromagnetics Research Symposium (PIERS). Hangzhou (China), 2021, p. 455–461. DOI: 10.1109/PIERS53385.2021.9694714
  16. JURIK, K., DREXLER, P. Design and numerical analysis of a birdcage resonator without lumped capacitors. In 3rd URSI Atlantic and Asia Pacific Radio Science Meeting (AT-AP-RASC). Gran Canaria (Spain), 2022 p. 1–2. DOI: 10.23919/AT-AP-RASC54737.2022.9814355
  17. JURIK, K., DREXLER, P. Tubular resonant networks creating a homogeneous magnetic field via different resonance modes. In Mediterranean Microwave Symposium (MMS). Pizzo Calabro (Italy), 2022, p. 1–4. DOI: 10.1109/MMS55062.2022.9825529

Keywords: Birdcage resonator, resonance network, plasma source, impedance matching, distributed capacity

F. E. Chinda, S. Cheab, S. Soeung [references] [full-text] [DOI: 10.13164/re.2023.0051] [Download Citations]
Design and Synthesis of Parallel-Connected Dielectric Filter Using Chain-Function Polynomial

Design and synthesis of parallel connected die-lectric filters using chained function polynomials are pre-sented in this paper. This filter will offer reduced sensitivity to fabrication tolerance while preserving its return loss response within the desired bandwidth in comparison to traditional Chebyshev filters. A novel transfer function FN according to chained is derived for fourth and sixth-order filters and the synthesis technique is presented. To demon-strate the feasibility of this approach, the circuit simulation based on parallel connected topology is carried out in ADS while the design and simulation of the fourth-order filter in dielectric technology in HFSS. Considerable sensitivity analysis is conducted to prove a better fabrication toler-ance of the filter. In terms of implementation, this design technique will serve as a very useful mathematical tool for any filter design engineer.

  1. HUNTER, I. C., BILLONET, L., JARRY, B., et al. Microwave filters - Applications and technology. IEEE Transactions on Microwave Theory and Technique, 2002, vol. 50, no. 3, p. 794 to 805. DOI: 10.1109/22.989963
  2. CHUAN, C. Y., CHEAB, S. Design and synthesis of parallel connected chained function filter. In APACE 2019 - 2019 IEEE Asia-Pacific Conference on Applied Electromagnetics. Malacca (Malaysia), November 2019, p. 1–4. DO1: 10.1109/APACE47377.2019.9020899
  3. CHEAB, S., WONG, P. W., SOEUNG, S. Design of multi-band filters using parallel connected topology. Radioengineering, 2018, vol. 27, no. 1, p. 186–192. DOI: 10.13164/re.2018.0186
  4. LIM., Y. P., CHEAB, S., SOEUNG, S., et al. On the design and fabrication of chained-function waveguide filters with reduced fabrication sensitivity using CNC and DMLS. Progress in Electromagnetics Research B, 2020, vol. 87, p. 39–60. DOI: 10.2528/PIERB20011101
  5. CHRISOSTOMIDIS, C. E., LUCYSZYN, S., On the theory of chained-function filters. IEEE Transactions on Microwave Theory and Technique, 2005, vol. 53, no. 10, p. 3142–3151. DOI: 10.1109/TMTT.2005.855358
  6. CAMERON, R. J., YU, M., WANG, Y. Direct-coupled microwave filters with single and dual stopbands. IEEE Transactions on Microwave Theory and Technique, 2005,vol. 53, no. 11, p. 3288 to 3297. DOI: 10.1109/TMTT.2005.859032
  7. ZHANG, Y., WU, K. L. General method for synthesizing dispersive coupling matrix of microwave bandpass filters. International Journal of Microwave Wireless Technologies, 2022, vol. 14, no. 3, p. 379–386. DOI: 10.1017/S1759078721000672
  8. QI, L., XING, D., WANG, R., et al. Coupling matrix synthesis of general Chebyshev filters. In MATEC Web of Conferences, 2020, vol. 309, p. 1–6. DOI: 10.1051/matecconf/202030901011
  9. CAMERON, R. J. Synthesis of a general class of the Chebyshev filter function (6.1 Polynomial forms of the transfer and reflection parameters S21 and S11 for a two-port network). Chapter 6 in CAMERON, R. J., KUDSIA, C. M., MANSOUR, R. R. Micro-wave Filters for Communication Systems. 2nd ed. Wiley, 2018, p. 177–213. DOI: 10.1002/9781119292371.ch6
  10. ZHU, L., PAYAPULLI, R., SHIN, S. H., et al. 3-D printing quantization predistortion applied to sub-THz chained-function filters. IEEE Access, 2022, vol. 10, p. 38944–38963. DOI: 10.1109/access.2022.3162586
  11. BONG, D. C. H., JEOTI, V., CHEAB, S., et al. Design and synthesis of chained-response multiband filters. IEEE Access, 2019, vol. 7, p. 130922–130936. DOI: 10.1109/access.2019.2940059
  12. LIM, Y. P., TOH, L., CHEAB, S., et al. Chained-function waveguide filter for 5G and beyond. In IEEE Region 10 Annual International Conference TENCON 2019. Jeju (South Korea), 2019, p. 107–110. DOI: 10.1109/TENCON.2018.8650548
  13. PERENIC, G., STAMENKOVIC, N., STOJANOVIC, N., et al. Chained-function filter synthesis based on the modified Jacobi polynomials. Radioengineering, 2018, vol. 27, no. 4, p. 1112 to 1118. DOI: 10.13164/re.2018.1112
  14. CAMERON, R. J., KUDSIA, C. M., MANSOUR, R. R. Tunable filters. Chapter 22 in CAMERON, R. J., KUDSIA, C. M., MANSOUR, R. R. Microwave Filters for Communication Systems. 2nd ed. Wiley, 2018, p. 731–783. DOI: 10.1002/9781119292371.ch22
  15. AB WAHAB, N., HIDAYAT, N. M., ISMAIL KHAN, Z., et al. Two parallel-coupled rings for narrow bandpass filter application. Journal of Telecommunication Electronics and Computer Engineering, 2016, vol. 8, no. 3, p. 73–77. ISSN: 2180-1843
  16. CHEAB, S., WONG, P. W., CHEW, X. Y. Parallel connected dual-mode filter. IEEE Microwave and Wireless Components Letters, 2015, vol. 25, no. 9, p. 582–584. DOI: 10.1109/LMWC.2015.2451393
  17. POMMIER, V., CROS, D., GUILLON, P., et al. Transversal filter using whispering gallery quarter cut resonators. In 2000 IEEE MTT-S International Microwave Symposium Digest, 2000, vol. 3, p. 1779–1782. DOI: 10.1109/MWSYM.2000.862324
  18. CAMERON, R. J. Resonant frequency calculation in dielectric resonators. Chapter 16 in CAMERON, R. J., KUDSIA, C. M., MANSOUR, R. R. Microwave Filters for Communication Systems. 2nd ed. Wiley, 2018, p. 517–544. DOI: 10.1002/9781119292371.ch16
  19. SONI, S., GHADIYA, A., SHUKLA, N. A new approach for the coupling identification in dielectric resonators filters. In Proceedings of the 2014 4th International Conference on Communication Systems and Network Technologies CSNT 2014. Bhopal (India), 2014, p. 30–33. DOI: 10.1109/CSNT.2014.15
  20. DUBEY, C., MAHMOOD, R. Review on dielectric resonator filter. In Proceedings of National Conference on Recent Advances in Electronics and Communication Engineering, RACE-2014. Greater Noida (UP, India), 2014, p. 1–7.
  21. HUNTER, I. Theory and Design of Microwave Filters (IEEE Electromagnetic Wave Series No.48). United Kingdom, Unversity Press Cambridge, 2006, p. 81–84. ISBN: 0852967772
  22. SASIC, M., IMECI, S. T. Design of microstrip coupled-line bandpass filter. Heritage and Sustainable Development, 2021, vol. 3, no. 1, p. 44–52. DOI: 10.37868/hsd.v3i1.55
  23. SHARMA, S. S., SHARMA, S. Design and simulation of sixth order parallel coupled line band pass Chebyshev filter. International Journal for Research in Applied Science & Engineering Technology (IJRASET), 2015, vol. 3, no. V, p. 906 to 910. ISSN: 2321-9653
  24. AL-YASIR, Y. I. A., OJAROUDI PARCHIN, N., ALABD-ALLAH, A., et al. Design, simulation and implementation of very compact open-loop trisection BPF for 5G communications. In 2019 IEEE 2nd 5G World Forum (5GWF). Dresden (Germany), 2019, p. 189–193. DOI: 10.1109/5GWF.2019.8911677

Keywords: Coupling matrix, chained function, dielectric resonator, parallel-connected, sensitivity, topology

M. Turcanik, J. Perdoch [references] [full-text] [DOI: 10.13164/re.2023.0063] [Download Citations]
SAMPLE Dataset Objects Classification Using Deep Learning Algorithms

The main topic of the article is automatic target classification of the synthetic aperture radar images based on the dataset composed of measured and synthetic data. The original contribution of the authors is their own topol¬ogy of the convolutional neural network (CNN) with 1, 2, 3, and 4 tiers. The original convolutional neural network is used to classify radar images from the Synthetic And Measured Paired and Labeled Experiment (SAMPLE) dataset which consists of SAR imagery from publicly avail¬able datasets and well-matched synthetic data. The pre¬sented topologies of the CNN with 1, 2, 3, and 4 tiers were analyzed in 3 different scenarios: trained on the basis of real measured data and tested by synthetic data, trained on the basis of synthetic data, and tested by real measured data, and in the last case training and testing sets were formed by combining real measured and synthetic data. Based on the results of testing we could not use the pro¬posed convolutional neural network trained with real measured data to classify synthetic radar images and vice versa (the 1st and the 2nd scenarios). The only last scenario with a combination of real measured and synthetic data in the training, validation, and testing data sets generates excellent results. The authors also present some confusion matrices, which can explain the reasons for the misclassification of radar images of military equipment. Comparing achieved results with another SAMPLE dataset classification results we can prove the usability of proposed and tested CNN structures for automatic target classification of the synthetic aperture radar images. The classification accuracy of the original convolutional network is 96.1%, which is better than the results of the other research so far.

  1. SKOLNIK, M. I. Radar Handbook. 3rd edition. The McGraw-Hill Companies, 2008. ISBN: 978–0–07–148547–0
  2. MEIKLE, H. Modern Radar Systems. 2nd edition. Artech House, 2008. ISBN: 978–1–59693–242–5
  3. FERRO-FAMIL, L., POTTIER, E. Synthetic aperture radar imaging. Microwave Remote Sensing of Land Surface. December 2016, p. 1–65. DOI: 10.1016/B978–1–78548–159–8.50001–3
  4. AGER, T. P. An introduction to synthetic aperture radar imaging. Oceanography, 2013, vol. 26, no. 2, p. 20–33. DOI: 10.5670/oceanog.2013.28
  5. MASSONNET, D., SOUYRIS, J. C. Imaging with Synthetic Aperture Radar. 1st ed. EPFL Press, 2008. DOI: 10.1201/9781439808139
  6. SENSOR DATA MANAGEMENT SYSTEM (SDMS), SANDIA NATIONAL LABORATORIES. MSTAR Overview (1995). [Online] Cited 2022–01–15. Available at:
  7. LEWIS, B., SCARNATI, T., SUDKAMP, E., et al. A SAR dataset for ATR development: The Synthetic And Measured Paired Labeled Experiment (SAMPLE). In Proceedings of SPIE Defense + Commercial Sensing Volume 10987, Algorithms for Synthetic Aperture Radar Imagery XXVI; 109870H. Baltimore (Maryland, United States), 2019, p. 1–16. DOI: 10.1117/12.2523460
  8. SCARNATI, T., LEWIS, B. A deep learning approach to the Synthetic And Measured Paired Labeled Experiment (SAMPLE) challenge problem. In Proceedings of SPIE Defense + Commercial Sensing Volume 10987, Algorithms for Synthetic Aperture Radar Imagery XXVI; 109870H. Baltimore (Maryland, United States), 2019, p. 1–10. DOI: 10.1117/12.2523458
  9. SCARNATI, T., LEWIS, B. Bullet Background Paper on Release of the Synthetic and Measured Paired and Labeled Experiment (SAMPLE) Database to NATO (28–January–2020)
  10. KUO, C. H., CHOU, Y. H., C., CHANG, P. C. Using deep convolutional neural networks for image retrieval. Electronic Imaging, 2016, vol. 28 p. 1–6. DOI: 10.2352/ISSN.2470–1173.2016.2.VIPC–231
  11. GAILLARD, M., EGYED-ZSIGMOND, E., GRANITZER, M. CNN features for Reverse Image Search. Document numerique, 2018/1–2, vol. 21, p. 63–90. DOI: 10.3166/DN.21.1–2.63–90
  12. AGNIHOTRI, A., SARAF, P., BAPNAD, K. R. A convolutional neural network approach towards self-driving cars. In Proceedings of 2019 IEEE 16th India Council International Conference (INDICON). Rajkot (India), 2019, p. 1–4. DOI: 10.1109/INDICON47234.2019.9030307
  13. OWAISALI CHISTI, S., RIAZ, S., BILALZAIB, M., et al. Self-driving cars using CNN and Q-learning. In Proceedings of the 2018 IEEE 21st International Multi-Topic Conference (INMIC). Karachi (Pakistan), 2018, p. 1–7. DOI: 10.1109/INMIC.2018.8595684
  14. LAKHANI, P., SUNDARAM, B. Deep learning at chest radiography: Automated classification of pulmonary tuberculosis by using convolutional neural networks. Radiology, 2017, vol. 284, no. 2, p. 574–582. DOI: 10.1148/radiol.2017162326
  15. SARVAMANGALA, D. R., KULKARNI, R. V. Convolutional neural networks in medical image understanding: A survey. Evolutionary Intelligence, 2022, vol. 15, p. 1–22. DOI: 10.1007/s12065–020–00540–3
  16. KALASH, M., ROCHAN, M., MOHAMMED, N., et al. Malware classification with deep convolutional neural networks. In Proceedings of the 2018 9th IFIP International Conference on New Technologies, Mobility and Security (NTMS). Paris (France), 2018, p. 1–5. DOI: 10.1109/NTMS.2018.8328749
  17. VESELY, J., OLIVOVA, J., GOTTHANS, J., et al. Classification of microwave planar filters by deep learning. Radioengineering, 2022, vol. 31, no. 1, p. 69–76. DOI: 10.13164/re.2022.0069
  18. HUANG, G., LIU, Z., VAN DER MAATEN, L., et al. Densely connected convolutional networks. In Proceedings of the 30th IEEE Conference on Computer Vision and Pattern Recognition. 2017, p. 1–9. DOI: 10.48550/arXiv.1608.06993
  19. HE, K., ZHANG, X., REN, S., et al. Deep residual learning for image recognition. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition. 2016, p. 770–778. DOI: 10.48550/arXiv.1512.03385
  20. GOODFELLOW, I., BENGIO, Y., COURVILLE, A. Deep Learning. MIT Press, 2016. ISBN: 9780262035613

Keywords: Synthetic aperture radar, synthetic data, SAMPLE dataset, convolutional neural networks

S. I. Hugar, J. S. Baligar, V. Dakulagi, K. M. Vanita [references] [full-text] [DOI: 10.13164/re.2023.0074] [Download Citations]
Quasistatic Resonators Based Triple-Mode Notched Microstrip Bandpass Filter

This article discusses new approach for design and development of triple-mode notched microstrip bandpass filter based on quasistatic resonators(QR). The proposed approach is composed of two Quasistatic resonant elements; Horizontal plane Split ring resonator (HP-SRR), Vertical plane split ring resonator (VP-SRR) and a single asymmetric step impedance resonator (A-SIR) with parallel coupled feed structure. An additional attenuation pole realized by VP-SRR in desired passband, tunes the dual-mode response to triple mode and enhances the 3dB bandwidth without changing the dimensions of basic the filter cell. The HP-SRR realizes a notch at WiMAX band (IEEE 802.11a lower band) in the desired passband. Further by changing the impedance of VP-SRR and HP-SRR both the location of additional attenuation pole frequency and notch band can be controlled. The proposed approach results in compact, notched wideband, filter design.

  1. ESFEH, B. K., ISMAIL, A., ABDULLAH, R. S. A. R., et al. Compact narrowband bandpass filter using dual-mode octagonal meandered loop resonator for Wimax application. Progress In Electromagnetics Research B, 2009, vol. 16, p. 277–290. DOI: 10.2528/PIERB09061601
  2. LA, D. S., JIA, S. Q., MA, X. L. Compact wideband band-pass filter using regular hexagon ring resonator. In Proceedings of the IEEE Asia-Pacific Microwave Conference (APMC). Nanjing (China), 2015, vol. 1, p. 1–3. DOI: 10.1109/APMC.2015.7411709
  3. AVINASH, K. G., SRINIVASA RAO, I. Design of bandpass filter using star loop dual mode resonator. In Proceedings of the IEEE International Conference on Communications and Signal Pro-cessing (ICCSP). Melmaruvathur (India), 2015, p. 0238–0241. DOI: 10.1109/ICCSP.2015.7322877
  4. AVINASH, K. G., SRINIVASA RAO, I. Highly selective dual-mode microstrip bandpass filters using triangular patch resonators. Advanced Electromagnetics, 2017, vol. 6, no. 1, p. 77–84. DOI: 10.7716/aem.v6i1.469
  5. MEZAAL, Y. S., EYYUBOGLU, H. T. Investigation of new microstrip bandpass filter based on patch resonator with geometrical fractal slot. PLOS One, 2016, vol. 11, no. 4, p. 1–12. DOI: 10.1371/journal.pone.0152615
  6. LEE, K. C., SU, H. T., HALDAR, M. K. A modified hair-pin resonator for the design of compact bandpass filter with suppression of even harmonics. Progress In Electromagnetics Research C, 2012, vol. 31, p. 241–253. DOI: 10.2528/PIERC12050808
  7. HUGAR S. I., MUNGURWADI, V., BALIGAR, J. S. Novel approach for center frequency and bandwidth tuning in multimode resonator based microstrip dual-mode bandpass filter. Procedia Computer Science, 2020, vol. 171, p. 2067–2072. DOI: 10.1016/j.procs.2020.04.222
  8. ZHANG, B., WU, Y., LIU, Y. Wideband single-ended and differential bandpass filters based on terminated coupled line structures. IEEE Transactions on Microwave Theory and Techniques, 2016, vol. 65, no. 3, p. 761–774. DOI: 10.1109/TMTT.2016.2628741
  9. LEE, K. C., SU, H. T., HALDAR, M. K. A novel compact triple-mode resonator for microstrip bandpass filter design. In Proceeding of Asia Pacific Microwave Conference. Yokohama (Japan), 2010, p. 1871–1874. ISBN: 978-4-902339-22-2
  10. CHEN, C.-F., SHEN, T.-M., HUANG, T. Y., et al. Design of compact microstrip quadruplexer based on the tri-mode net-type resonators. IEEE Microwave and Wireless Component Letters, 2011, vol. 21, no. 10, p. 534–536. DOI: 10.1109/LMWC.2011.2165278
  11. SOVUTHY, C., WEN, W. P. Microwave planar triple-mode resonator filter. In the Proceeding of National Postgraduate Conference (NPC). Perak (Malaysia), 2011, p. 1–3. DOI: 10.1109/NatPC.2011.6136425
  12. LEE, K. C., SU, H. T., HALDAR, M. K. Compact quadruple-mode resonator for wideband bandpass filter design. IET Microwaves, Antennas & Propagation, 2014, vol. 8, no. 3, p. 67–72. DOI: 10.1049/iet-map.2013.0021
  13. DENG, H.-W., ZHAO, Y.-J., ZHANG, L., et al. Quadruple-mode stub-loaded resonator and broadband BPF. Progress In Electromagnetics Research Letters, 2010, vol. 18, p. 1–8. DOI: 10.2528/PIERL10061713
  14. NOSRATI, M., DANESHMAND, M. Compact microstrip ultra-wideband double/single notch-band band-pass filter based on wave’s cancellation theory. IET Microwaves, Antennas & Propagation, 2012, vol. 6, no. 8, p. 862–868. DOI: 10.1049/iet-map.2011.0519
  15. BORAZJANI, O., NOSRATI, M., DANESHMAND, M. A novel triple notch-bands ultra wide-band band-pass filters using parallel multi-mode resonators and CSRRs. International Journal of RF and Microwave Computer-Aided Engineering, 2013, vol. 24, no. 3, p. 375–381. DOI: 10.1002/mmce.20770
  16. NOSRATI, M., DANESHMAND, M. Developing single-layer ultra-wideband band-pass filter with multiple (triple and quadruple) notches. IET Microwaves Antennas & Propagation, 2013, vol. 7, no. 8, p. 612–620. DOI: 10.1049/iet-map.2013.0022
  17. ZHENG, X., PAN, Y., JIANG, T. UWB bandpass filter with dual notched bands using T-shaped resonator and L-shaped defected microstrip structure. Micromachines, 2018, vol. 9, no. 6, p. 280–291. DOI: 10.3390/mi9060280
  18. AZIZI, S., EL GHARBI, M., AHYOUD, S., et al. Design and analysis of compact microstrip UWB band pass filter with a notched band using defected microstrip structure. Procedia Manufacturing, 2019, vol. 32, p. 669–674. DOI: 10.1016/j.promfg.2019.02.269
  19. SHAMAN, H. N., ALMORQI, S. K., ALAMOUDI, A. O. High-selectivity microstrip bandpass filter with notch-band for wideband wireless applications. In Proceedings of IEEE International Conference on Microwaves, Radar and Wireless Communications. Gdansk (Poland), 2014, p. 1–4. DOI: 10.1109/MIKON.2014.6899938
  20. LI, Q., LIANG, C.-H., WEN, H.-B., et al. Compact planar ultra-wideband (UWB) bandpass filter with notched band. In Proceedings of IEEE Asia Pacific Microwave Conference. Singapore, 2009, p. 1–4. DOI: 10.1109/APMC.2009.5385380
  21. LIU, J., DING, W., CHEN, J., et al. New ultra-wideband filter with sharp notched band using defected ground structure. Progress In Electromagnetics Research Letters, 2019, vol. 83, p. 99–105. DOI: 10.2528/PIERL18111302
  22. ZHANG, T., BAO, J., CAI, Z., et al. A C-band compact wideband bandpass filter with high selectivity and improved return loss. IEEE Microwave and Wireless Components Letters, 2018, vol. 28, no. 9, p. 824–829. DOI: 10.1109/LMWC.2018.2860245
  23. CHANG, Y.-C., KAO, C.-H., WENG, M.-H. A compact wideband bandpass filter using single asymmetric SIR with low loss and high selectivity. Microwave and Optical Technology Letters, 2008, vol. 51, no. 1, p. 242–244. DOI: 10.1002/mop.24023
  24. BAENA, J. D., BONACHE, J., MARTIN, F., et al. Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines. IEEE Transactions on Microwave Theory and Techniques, 2005, vol. 53, no. 4, p. 1451–1461. DOI: 10.1109/TMTT.2005.845211
  25. MABROUK, M., BOUSBIA, L. Study and enhanced design of RF dual band bandpass filter validation and confirmation of experimental measurements. Circuits and Systems, 2011, vol. 2, no. 4, p. 293–296. DOI: 10.4236/cs.2011.24041
  26. JI, X. C., JI, W. S., FENG, L. Y., et al. Design of a novel multi-layer wideband bandpass filter with a notched band. Progress In Electromagnetics Research Letters, 2019, vol. 82, p. 9–16. DOI: 10.2528/PIERL18121101
  27. YANG, L., CHOI, W. W., TAM, K. W., et al. Novel wideband bandpass filter with dual notched bands using stub-loaded resonators. IEEE Microwave and Wireless Component Letters, 2017, vol. 27, no. 1, p. 25–27. DOI: 10.1109/LMWC.2016.2629967
  28. WENG, M. H., HSU, C. W., LAN, S. W., et al. An ultra-wideband bandpass filter with a notch band and a wide upper bandstop performances. Electronics, 2019, vol. 8, no. 11, p. 1–10. DOI: 10.3390/electronics8111316
  29. ZHANG, P., LIU, L., CHEN, D., et al. Application of a stub-loaded square ring resonator for wideband bandpass filter design. Electronics, 2020, vol. 9, no. 1, p. 1–14. DOI: 10.3390/electronics9010176

Keywords: Dual-mode, quasistatic resonators, asymmetric step impedance resonator, split ring resonators.