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Radioengineering

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September 2026, Volume 35, Number 3 [DOI: 10.13164/re.2026-3]

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M. Khajavi, E. Farshidi, M. Soroosh, S. Ajabi [references] [full-text] [DOI: 10.13164/re.2026.0335] [Download Citations]
Design and Analysis of Novel Bandpass Filters with Adjustable Center Frequency and Bandwidth

This paper presents a novel design of microstrip bandpass filters combining stepped-impedance resonators (SIR). Initially, a stepped- impedance resonator is considered as the basic structure, and then the basic design is progressively modified and improved. These enhancements include adding resonators to the basic structure, modifying their dimensions, fundamentally changing their arrangement and connections, and creating air gaps between resonators. These modifications result in significant changes in the frequency response characteristics, shifting the center frequency of the basic model to the X-band. Subsequent steps focus on improving filter parameters such as bandwidth, insertion loss, and return loss, ultimately leading to a dual-band bandpass filter. The single-band filter proposed in this paper has a center frequency of 9 GHz, a bandwidth of 1.83 GHz, an insertion loss of 1.7 dB, and a return loss of 54.6 dB. The dual-band bandpass filter features center frequencies of 7.4 GHz and 10.7 GHz, with bandwidths of 110 MHz and 530 MHz, insertion losses of 1.4 dB and 2.3 dB, and return losses of 22.4 dB and 31.1 dB, respectively. The designed filters are characterized by compact size, high integration, low insertion and return losses, and wide bandwidth. A good agreement is observed between the measured results of the fabricated sample and the simulation results.

  1. LIU, X., REN, B., GUAN, X., et al. High selectivity dual-band balanced BPF with controllable passbands based on magnetically coupled capacitor-loaded SIRs. IEEE Transactions on Circuits and Systems II: Express Briefs, 2023, vol. 70, no. 9, p. 3293–3297. DOI: 10.1109/TCSII.2023.3271152
  2. ZAKHAROV, A., ROZENKO, S., LITVINTSEV, S. Transmission line loop resonators short-circuited in middle. IEEE Transactions on Circuits and Systems II: Express Briefs, 2022, vol. 69, no. 4, p. 2006–2010. DOI: 10.1109/TCSII.2021.3138937
  3. LUO, X., CHENG, X., JIANG, J., et al. Miniaturized millimeter wave dual-band band-pass on-chip filter in 0.13-μm SiGe BiCMOS. AEU - International Journal of Electronics and Communications, 2025, vol. 189, p. 1–9. DOI: 10.1016/j.aeue.2024.155591
  4. İSCAN, E., DURGUN, A. C. A tunable bandpass filter using substrate integrated waveguide resonator. AEU - International Journal of Electronics and Communications, 2025, vol. 197, p. 1 to 9. DOI: 10.1016/j.aeue.2025.155814
  5. MUSHTAQ, B., KHALID, S. Design of miniaturized single and dual-band bandpass filters using diamond-shaped coupled line resonator for next-generation wireless systems. International Journal of Microwave and Wireless Technologies, 2023, vol. 15, no. 3, p. 375–383. DOI: 10.1017/S1759078722001416
  6. LA, D. S., WANG, M. Y., ZHANG, Y. J., et al. A cylindrical cavity differential dual-band bandpass filter (DDBBPF) with stepped cylinders. AEU - International Journal of Electronics and Communications, 2022, vol. 155, p. 1–8. DOI: 10.1016/j.aeue.2022.154358
  7. CASTRO, N., PIZARRO, F., HERRAN-ONTANON, L. F., et al. Evaluation of inverted microstrip gap waveguide bandpass filters for Ka-band. AEU - International Journal of Electronics and Communications, 2021, vol. 134, p. 1–6. DOI: 10.1016/j.aeue.2021.153677
  8. WEI, F., ZHANG, C. Y., ZENG, C., et al. A reconfigurable balanced dual-band bandpass filter with constant absolute bandwidth and high selectivity. IEEE Transactions on Microwave Theory and Techniques, 2021, vol. 69, no. 9, p. 4029–4040. DOI: 10.1109/TMTT.2021.3093907
  9. LALBAKHSH, A., GHADERI, A., MOHYUDDIN, W., et al. A compact C-band bandpass filter with an adjustable dual-band suitable for satellite communication systems. Electronics, 2020, vol. 9, no. 7, p. 1–17. DOI: 10.3390/electronics9071088
  10. JIANG, Y., HUANG, L., HUANG, Z., et al. Compact wideband dual-band SIW bandpass filters. Applied Computational Electromagnetics Society Journal, 2021, vol. 36, no. 9, p. 1254 to 1259. DOI: 10.47037/2021.ACES.J.360919
  11. MOITRA, S., DEY, R. Design of dual band and tri band bandpass filter (BPF) with improved inter band isolation using DGS integrated coupled microstrip lines structures. Wireless Personal Communications, 2019, vol. 110, p. 2019–2030. DOI: 10.1007/s11277-019-06827-8
  12. FERNANDEZ-PRIETO, A., MARTEL, J., UGARTE-PARRADO, P. J., et al. Compact balanced dual-band bandpass filter with magnetically coupled embedded resonators. IET Microwaves, Antennas & Propagation, 2019, vol. 13, no. 4, p. 492–497. DOI: 10.1049/iet-map.2018.5573
  13. XU, Z., XU, J. Design of dual-mode filters using stepped impedance resonators with stub loading. In 2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT). Shenzhen (China), 2012, vol. 4, p. 1–3. DOI: 10.1109/ICMMT.2012.6230282
  14. MEESOMKLIN, S., CHOMTONG, P., AKKARAEKTHALIN, P. A compact multiband BPF using step-impedance resonators with interdigital capacitors. Radioengineering, 2016, vol. 25, no. 2, p. 258–267. DOI: 10.13164/re.2016.0258
  15. LOTFI, S., ROSHANI, S., ROSHANI, S., et al. Compact microstrip balanced bandpass filter with stepped impedance resonator for wireless application. In 2024 International Conference on Applied Electronics (AE). Pilsen (Czech Republic) 2024, p. 1–4. DOI: 10.1109/AE61743.2024.10710284
  16. LI, S., LI, S., YUAN, J. A compact fourth-order tunable bandpass filter based on varactor-loaded step-impedance resonators. Electronics, 2023, vol. 12, no. 11, p. 1–14. DOI: 10.3390/electronics12112539
  17. HONG, J.-S., LANCASTER, M. J. Microstrip Filters for RF/Microwave Applications. New York: Wiley, 2001. ISBN: 9780471388777
  18. HOU, Z., LIU, C., ZHANG, B., et al. Dual-/tri-wideband bandpass filter with high selectivity and adjustable passband for 5G midband mobile communications. Electronics, 2020, vol. 9, no. 2, p. 1–13. DOI: 10.3390/electronics9020205
  19. XU, S., MA, K., MENG, F., et al. Novel defected ground structure and two-side loading scheme for miniaturized dual-band SIW bandpass filter designs. IEEE Microwave and Wireless Components Letters, 2015, vol. 25, no. 4, p. 217–219. DOI: 10.1109/LMWC.2015.2400916
  20. ZHOU, K., ZHOU, C.-X., WU W. Substrate-integrated waveguide dual-mode dual-band bandpass filters with widely controllable bandwidth ratios. IEEE Transactions on Microwave Theory and Techniques, 2017, vol. 65, no. 10, p. 3801–3812. DOI: 10.1109/TMTT.2017.2694827
  21. ZHOU, K., ZHOU, C.-X., WU, W. Resonance characteristics of substrate-integrated rectangular cavity and their applications to dual-band and wide-stopband bandpass filters design. IEEE Transactions on Microwave Theory and Techniques, 2017, vol. 65, no. 5, p. 1511–1524. DOI: 10.1109/TMTT.2016.2645156
  22. SONG, Y., LIU, H., ZHAO, W., et al. Compact balanced dual band bandpass filter with high common-mode suppression using planar via-free CRLH resonator. IEEE Microwave and Wireless Components Letters, 2018, vol. 28, no. 11, p. 996–998. DOI: 10.1109/LMWC.2018.2873240
  23. SONG, Y., LIU, H., FENG, L., et al. High-order balanced dual band HTS BPF with flexible frequency ratio and sharp rejection skirts. IEEE Transactions on Microwave Theory and Techniques, 2022, vol. 70, no. 4, p. 2185–2195. DOI: 10.1109/TMTT.2022.3148420
  24. CHEN, F. C., CHU, Q. X., TU, Z. H. Design of compact dual-band bandpass filter using short stub loaded resonator. Microwave and Optical Technology Letters, 2009, vol. 51, no. 4, p. 959–963. DOI: 10.1002/mop.24209
  25. DENIS, B., SONG, K., ZHANG, F. Compact dual-band bandpass filter using open stub-loaded stepped impedance resonator with cross-slots. International Journal of Microwave and Wireless Technologies, 2017, vol. 9, no. 2, p. 269–274. DOI: 10.1017/S1759078715001786
  26. LI, K., KANG, G.-Q., LIU, H., et al. High-selectivity adjustable dual-band bandpass filter using a quantic-mode resonator. Microsystem Technologies, 2020, vol. 26, no. 3, p. 913–916. DOI: 10.1007/s00542-019-04616-8
  27. DONG, G., WANG, W., WU, Y., et al. Dual-band balanced bandpass filter using slotlines loaded patch resonators with independently controllable bandwidths. IEEE Microwave and Wireless Components Letters, 2020, vol. 30, no. 7, p. 653–656. DOI: 10.1109/LMWC.2020.2995963
  28. MEDRAN DEL RIO, J. L., LUJAMBIO, A., FERNANDEZ PRIETO, A., et al. Multi-layered balanced dual-band bandpass filter based on magnetically coupled open-loop resonators with intrinsic common-mode rejection. Applied Sciences, 2020, vol. 10, no. 9, p. 1–13. DOI: 10.3390/app10093113
  29. ZHU, C., XU, J., ZHANG, G., et al. Split-type dual-band bandpass filters with symmetric/asymmetric response. IEEE Microwave and Wireless Components Letters, 2017, vol. 28, no. 1, p. 25–27. DOI: 10.1109/LMWC.2017.2776931
  30. WANG, L.-T., XIONG, Y., GONG, L., et al. Design of dual-band bandpass filter with multiple transmission zeros using transversal signal interaction concepts. IEEE Microwave and Wireless Components Letters, 2018, vol. 29, no. 1, p. 32–34. DOI: 10.1109/LMWC.2018.2884147
  31. WU, X., WAN, F., GE, J. Stub-loaded theory and its application to balanced dual-band bandpass filter design. IEEE Microwave and Wireless Components Letters, 2016, vol. 26, no. 4, p. 231–233. DOI: 10.1109/LMWC.2016.2537045
  32. REN, B., LIU, H., MA, Z., et al. Compact dual-band differential bandpass filter using quadruple-mode stepped-impedance square ring loaded resonators. IEEE Access, 2018, vol. 6, p. 21850 to 21858. DOI: 10.1109/ACCESS.2018.2829025
  33. FU, S., WU, B., CHEN, J., et al. Novel second-order dual-mode dual-band bandpass filters using capacitance loaded square loop resonator. IEEE Transactions on Microwave Theory and Techniques, 2012, vol. 60, no. 3, p. 477–483. DOI: 10.1109/TMTT.2011.2181859
  34. BAGCI, F., FERNANDEZ-PRIETO, A., LUJAMBIO, A., et al. Compact balanced dual-band bandpass filter based on modified coupled-embedded resonators. IEEE Microwave and Wireless Components Letters, 2017, vol. 27, no. 1, p. 31–33. DOI: 10.1109/LMWC.2016.2629962
  35. SHEN, Y., WANG, H., KANG, W., et al. Dual-band SIW differential bandpass filter with improved common-mode vol. suppression. IEEE Microwave and Wireless Components Letters, 2015, 25, no. 2, p. 100–102. DOI: 10.1109/LMWC.2014.2382683
  36. ZHOU, L.-H., CHEN, J.-X. Differential dual-band bandpass filters with flexible frequency ratio using asymmetrical shunt branches for wideband CM suppression. IEEE Transactions on Microwave Theory and Techniques, 2017, vol. 65, no. 11, p. 4606–4615. DOI: 10.1109/TMTT.2017.2700275

Keywords: Bandpass filter, microstrip, SIR resonator, air gap, insertion loss, return loss

Y. Zhang, H. M. Liu, Y. Meng, Z. B. Wang [references] [full-text] [DOI: 10.13164/re.2026.0349] [Download Citations]
A Wideband 1×3 Filtering Beamforming Network Featuring Input-Reflectionless and Extended Phase Reconfigurability

In the paper, a wideband 1×3 filtering beamforming network (BFN) with extended phase reconfigurability and input-reflectionless feature is presented for the first time by employing three-way reflectionless power divider, switched 0°/180° phase shifter (PS), and multiway polyphase filtering differential phase shifter (D-PS). The three-way power divider and D-PS provide wideband filtering with high frequency selectivity while ensuring an input-reflectionless characteristic across the entire frequency range. Six distinct output phase differences (PDs) can be realized using only three groups of D-PSs in combination with the switched 0°/180° PSs, enabling extended beam directions without additional phase-shifting components added. The designs of the three-way power divider and D-PS are presented, with the D-PS accompanied by derivation of equations and parametric analysis for clarification. To verify, a prototype is fabricated and measured. Measurements verify six differential PDs of –120°, –90°, –30°, 60°, 90°, and 150°. For all six states, the prototype achieves a 3-dB passband bandwidth exceeding 70% with |S11| below -10dB across the entire frequency range. In addition, the fractional bandwidth corresponding to a ±7° PD error reaches 40%.

  1. TRZEBIATOWSKI, K., KALISTA, W., RZYMOWSKI, M., et al. Multibeam antenna for Ka-band CubeSat connectivity using 3-D printed lens and antenna array. IEEE Antennas and Wireless Propagation Letters, 2022, vol. 21, no. 11, p. 2244–2248. DOI: 10.1109/LAWP.2022.3189073
  2. ZHANG, Y. J., HAN, Z. X., TANG, S. W., et al. A highly pattern reconfigurable planar antenna with 360° single- and multi-beam steering. IEEE Transactions on Antennas and Propagation, 2022, vol. 70, no. 8, p. 6490–6504. DOI: 10.1109/TAP.2022.3161514
  3. GUO, C. A., GUO, Y. J. A general approach for synthesizing multibeam antenna arrays employing generalized joined coupler matrix. IEEE Transactions on Antennas and Propagation, 2022, vol. 70, no. 9, p. 7556–7564. DOI: 10.1109/TAP.2022.3153037
  4. DENG, J. Y., ZHANG, Y., LIN, W. Compact multibeam antenna array facilitated by miniaturized slow wave substrate integrated waveguide Butler matrix. IEEE Transactions on Antennas and Propagation, 2024, vol. 72, no. 12, p. 9564–9569. DOI: 10.1109/TAP.2024.3463203
  5. DUTTA, R. K., JAISWAL, R. K., SIAKIA, M., et al. A two-stage beamforming antenna using Butler matrix and reconfigurable frequency delective surface for wide angle beam tilting. IEEE Antennas and Wireless Propagation Letters, 2023, vol. 22, no. 10, p. 2342–2346. DOI: 10.1109/LAWP.2023.3286819
  6. YANG, Y., XU, B. W., CHAN, W. S., et al. Reconfigurable single/dual-beam steering based on compact 3×3 Nolen matrix with equal/unequal power division and phase difference. IEEE Antennas and Wireless Propagation Letters, 2024, vol. 23, no. 11, p. 3724–3728. DOI: 10.1109/LAWP.2024.3427341
  7. XU, Y., ZHU, H., GUO, Y. J. Compact wideband 3×3 Nolen matrix with couplers integrated with phase shifters. IEEE Microwave and Wireless Technology Letters, 2024, vol. 34, no. 2, p. 159–162. DOI: 10.1109/LMWT.2023.3341791
  8. WANG, X. Z., CHEN, F. C., CHU Q. X. A compact broadband 4×4 Butler matrix with 360° continuous progressive phase shift. IEEE Transactions on Microwave Theory and Techniques, 2023, vol. 71, no. 9, p. 3906–3914. DOI: 10.1109/TMTT.2023.3249352
  9. CHU, H. N., HOANG, T. H., JI, K. J., et al. A phase distribution network using 2×4 Butler matrix for linear/planar beam-scanning arrays. IEEE Access, 2021, vol. 9, p. 133438–133448. DOI: 10.1109/ACCESS.2021.3115880
  10. YU, D., LIU, H. M., LI, S., et al. Control-relaxed wideband 2×4 Nolen matrix with 360° continuously tuned differential phase. IEEE Transactions on Circuits and Systems II: Express Briefs, 2024, vol. 71, no. 4, p. 1979–1983. DOI: 10.1109/TCSII.2023.3334248
  11. REN, H., LI, P. Z., GU, Y. X., et al. Phase shifter-relaxed and control-relaxed continuous steering multiple beamforming 4×4 Butler matrix phased array. IEEE Transitions on Circuits and Systems I: Regular Papers, 2020, vol. 67, no. 12, p. 5031–5039. DOI: 10.1109/TCSI.2020.3009215
  12. TAJIK, A., ALAVIJEH, A. S., FAKHARZADEH, M. Asymmetrical 4×4 Butler matrix and its application for single layer 8×8 Butler matrix. IEEE Transactions on Antennas and Propagation, 2019, vol. 67, no. 8, p. 5372–5379. DOI: 10.1109/TAP.2019.2916695
  13. DING, K. J., KISHK, A. A. Extension of Butler matrix number of beams based on reconfigurable couplers. IEEE Transactions on Antennas and Propagation, 2019, vol. 67, no. 6, p. 3789–3796. DOI: 10.1109/TAP.2019.2902668
  14. LIU, H. W., GU, X. Y., TIAN, H. L. Design of extended Nolen matrix with enhanced beam controllability and widened spatial coverage. IEEE Transactions on Circuits and Systems II: Express Briefs, 2024, vol. 71, no. 7, p. 3273–3277. DOI: 10.1109/TCSII.2024.3362148
  15. SHAO, Q., CHEN, F. C., WANG, Y., et al. Design of 4×4 and 8×8 filtering Butler matrices utilizing combined 90° and 180° couplers. IEEE Transactions on Microwave Theory and Techniques, 2021, vol. 69, no. 8, p. 3842–3852. DOI: 10.1109/TMTT.2021.3085879
  16. SHAO, Q., CHEN, F. C., WANG, Y., et al. Design of modified 4×6 filtering Butler matrix based on all-resonator structures. IEEE Transactions on Microwave Theory and Techniques, 2019, vol. 67, no. 9, p. 3617–3627. DOI: 10.1109/TMTT.2019.2925113
  17. ZHANG, Y., LIU, H. M., LI, S., et al. Design of highly integrated wideband 3×3 Nolen matrix using arbitrary-phase-difference filtering couplers and phase compensation networks. International Journal of Microwave and Wireless Technologies, 2025, vol. 17, no. 6, p. 1041–1051. DOI: 10.1017/S1759078725102407
  18. ZHANG, Y., LIU, H. M., CHEN, S. Y., et al. All-port reflectionless wideband filtering power divider using five-line coupled structure. IEEE Microwave and Wireless Technology Letters, 2025, vol. 35, no. 1, p. 31–34. DOI: 10.1109/LMWT.2024.3471828
  19. ZHANG, S. R., LIU, H. M., WANG, Z. B., et al. Design of wideband quasi-reflectionless filter with high selectivity and flat passband. IEEE Transactions on Circuits and Systems II: Express Briefs, 2023, vol. 70, no. 11, p. 4038–4042. DOI: 10.1109/TCSII.2023.3284420
  20. ZHU, H., CHENG, Z. Q., GUO, Y. J. Design of wideband in phase and out-of-phase power dividers using microstrip-to-slotline transitions and slotline resonators. IEEE Transactions on Microwave Theory and Techniques, 2019, vol. 67, no. 4, p. 1412 to 1424. DOI: 10.1109/TMTT.2019.2897928
  21. BIALKOWSKI, M., ABBOSH, A. M. Design of a compact UWB out-of-phase power divider. IEEE Microwave and Wireless Components Letters, 2007, vol. 17, no. 4, p. 289–291. DOI: 10.1109/LMWC.2007.892979
  22. POZAR, D. M. Microwave Engineering. 3rd ed. New York (NY, USA): Wiley, 2005. ISBN: 978-0471448785

Keywords: Beamforming network, filtering, input reflectionless, phase reconfigurability, multiway polyphase phase shifter.

X. Fan, Q. Yao, J. Chen [references] [full-text] [DOI: 10.13164/re.2026.0358] [Download Citations]
A New Variable Step-size LMS Algorithm and Its Analysis

The LMS (least mean square) algorithm is an adaptive filtering algorithm widely used in the fields of signal processing and system identification. To avoid the compromise between the convergence speed and the steady-state error for fixed step-size LMS algorithm, a variable step-size LMS algorithm (named ELVSLMS algorithm) based on error autocorrelation estimation and logarithmic function is proposed and analyzed in this paper. In the proposed algorithm, the variable step-size filter is replaced by a filter whose step-size function is a modified function based on error autocorrelation estimation and logarithmic function. Thus, logarithmic nonlinear relationship between the step-size and the error autocorrelation is constructed. Therefore, the slow convergence speed and the weak anti-jamming ability of fixed step-size LMS are conquered. Simulation results show that the proposed ELVSLMS algorithm, compared to LMS algorithm, SVSLMS algorithm (whose step-size adjustment function is based on sigmoid function), TLVSLMS algorithm (whose step-size adjustment function is based on versoria function) and HSVSLMS algorithm (whose step-size adjustment function is based on hyperbolic secant function), not only has superior capability of tracking in the presence of noise and in a stable and even non-stable environment, but also can maintain a better convergence and smaller steady-state error.

  1. FERRER, M., DE DIEGO, M., GONZALEZ, A. Low cost variable step-size LMS with maximum similarity to the affine projection algorithm. IEEE Open Journal of Signal Processing, 2023, vol. 5, p. 82–91. DOI: 10.1109/OJSP.2023.3340106
  2. MIRY, M. H., MARY A. H. Efficient combined fuzzy logic and LMS algorithm for smart antenna. TELKOMNIKA (Telecommunication, Computing, Electronics, and Control), 2023, vol. 21, no. 5, p. 975–980. DOI: 10.12928/telkomnika.v21i5.24370
  3. KAR, A., BURRA, S., SHOBA, S., et al. Improved active noise cancellation using variable step-size combined Fx-LMS algorithm. Circuits, Systems, and Signal Processing, 2025, vol. 44, no. 1, p. 447–461. DOI: 10.1007/s00034-024-02848-2
  4. FAN, X., TAN, Z., SONG, P., et al. A variable step-size CLMS algorithm and its analysis. Radioengineering, 2020, vol. 29, no. 1, p. 182–188. DOI: 10.13164/RE.2020.0182
  5. BENKHERRAT, M. Classical LMS algorithm with variable step-size approach. In Encyclopedia of Engineering Optimization and Heuristics. Singapore: Springer Nature Singapore, 2026, p. 1–5. DOI: 10.1007/978-981-96-8165-5_255-1
  6. KAR, A., CHANDRA, M. An improved variable structure adaptive filter design and analysis for acoustic echo cancellation. Radioengineering, 2015, vol. 24, no. 1, p. 252–261. DOI: 10.13164/re.2015.0252
  7. ZHAO, B., XIAO, Y., SHEN, H., et al. Variable step‐size LMS algorithm based on variational versoria function and variational Gaussian function. International Journal of Adaptive Control and Signal Processing, 2025, vol. 39, no. 4, p. 709–723. DOI: 10.1002/acs.3970
  8. KWONG, R. H., JOHNSTON, E. W. A variable step size LMS algorithm. IEEE Transactions on Signal Processing, 1992, vol. 40, no. 7, p. 1633–1642. DOI: 10.1109/78.143435
  9. ANG, W. P., FARHANG-BOROUJENY, B. A new class of gradient adaptive step-size LMS algorithms. IEEE Transactions on Signal Processing, 2001, vol. 49, no. 4, p. 805–810. DOI: 10.1109/78.912925
  10. ZHANG, Y., XI, S. New LMS adaptive filtering algorithm with variable step size. In Proceedings of 2017 International Conference on Vision, Image and Signal Processing. Osaka (Japan), 2017, p. 1–4. DOI: 10.1109/ICVISP.2017.11
  11. DONG, W., WANG, Z., JIANG, C., et al. γ-radiation noise-filtering algorithm for optical encoder based on improved adaptive line enhancer. (in Chinese) Nuclear Techniques, 2024, vol. 47, no. 8, p. 1–12. DOI: 10.11889/j.0253-3219.2024.hjs.47.080403
  12. WANG, M., ZHAO, J., ZHANG, B. A variable step size LMS algorithm based on hyperbolic secant function. (in Chinese) Communications Technology, 2016, vol. 49, no. 6, p. 668–672. DOI: 10.3969/J.ISSN.1002-0802.2016.06.004
  13. RU, G., HUANG, Y., GUO, Y., et al. New variable step size LMS algorithm based on logarithmic function. (in Chinese) Journal of Wuhan University (Nat. Sci. Ed.), 2015, vol. 61, no. 3, p. 295–298. DOI: 10.14188/J.1671-8836.2015.03.017
  14. RESENDE, L. C., ANDRADE, F. A. A., HADDAD, D. B., et al. A novel stochastic stability model for the coefficient reusing LMS algorithm. Telecommunication Systems, 2025, vol. 88, p. 1–17. DOI: 10.1007/s11235-025-01304-z
  15. CHEN, W., CHEN, Z. Logarithmic-sum function constrained set-membership FxNLMS algorithm for active noise control. Digital Signal Processing, 2026, vol. 173, p. 1–10. DOI: 10.1016/j.dsp.2026.105905
  16. ARENAS-GARCIA, J., FIGUEIRAS-VIDAL, A. R., SAYED, A. H. Steady-state performance of convex combinations of adaptive filters. In Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing. Philadelphia (USA), 2005, vol. 4, p. 33–36. DOI: 10.1109/ICASSP.2005.1415938
  17. TRIMALE, M. B., CHILVERI, A review: FIR filter implementation. In Proceedings of 2017 2nd IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology. Bangalore (India), 2017, p. 137–141. DOI: 10.1109/rteict.2017.8256573
  18. MATEI, R., CHIPER, D. F. Analytical design of Gaussian anisotropic 2D FIR filters and their implementation using the block filtering approach. Electronics, 2024, vol. 13, no. 7, p. 1–27. DOI: 10.3390/electronics13071243
  19. JOHNSON, H., BORNMAN, N., KIM, T., et al. Demonstrating the potential of adaptive LMS filtering on FPGA-based qubit control platforms for improved qubit readout in 2D and 3D quantum processing units. In Proceedings of 2024 IEEE International Conference on Quantum Computing and Engineering. Montreal (Canada), 2024, p. 1309–1314. DOI: 10.1109/QCE60285.2024.00156

Keywords: Least mean square (LMS) filter, error autocorrelation estimation, logarithmic function, performance analysis

J. W. Liu [references] [full-text] [DOI: 10.13164/re.2026.0365] [Download Citations]
3D Radiation Pattern Reconstruction from Reduced Far-Field Sampling via Iterative Spectral Interpolation

This paper presents a method for reconstructing the three-dimensional antenna radiation pattern from reduced sampled far-field measurements, thereby reducing the need for extensive mechanical probe scans. The sampling density is selected according to planar near-field measurement principles, enabling an initial plane-wave representation of the radiation field. An iterative interpolation procedure in the spectral domain is then used to recover the missing angular data while accounting for practical measurement resolution limits. The complete source code written in Julia programming language for the reconstruction algorithm is publicly available to support reproducibility and future research.

  1. PARINI, C., GREGSON, S. F., MCCORMICK, J., et al. Theory and Practice of Modern Antenna Range Measurements. London (UK): IET, 2014. DOI: 10.1049/PBEW055E
  2. FOEGELLE, M. D. Antenna pattern measurement: Concepts and techniques. Compliance Engineering, 2002, vol. 19, no. 3, p. 22–33.
  3. ELSHERBENI, A. Z., INMAN, M. J. Antenna design and radiation pattern visualization. Applied Computational Electromagnetics Society Journal, 2003, vol. 18, no. 4, p. 26–32.
  4. NEWMAN, E., BOHLEY, P., WALTER, C. Two methods for the measurement of antenna efficiency. IEEE Transactions on Antennas and Propagation, 1975, vol. 23, no. 4, p. 457–461. DOI: 10.1109/TAP.1975.1141114
  5. GEYI, W. The method of maximum power transmission efficiency for the design of antenna arrays. IEEE Open Journal of Antennas and Propagation, 2021, vol. 2, p. 412–430. DOI: 10.1109/OJAP.2021.3066310
  6. SAUNDERS, S. R., ARAGON-ZAVALA, A. A. Antennas and Propagation forWireless Communication Systems. 3rd ed. Chichester (UK): John Wiley & Sons, 2024. ISBN: 9781394223046
  7. CERNY, O., DOLECEK, R., KOPECKY, P., et al. Optimization of far-field antenna range. Radioengineering, 2015, vol. 24, no. 4, p. 892–897. DOI: 10.13164/re.2015.0892
  8. DEFORD, J. F., GANDHI, O. P. Phase-only synthesis of minimum peak sidelobe patterns for linear and planar arrays. IEEE Transactions on Antennas and Propagation, 1988, vol. 36, no. 2, p. 191–201. DOI: 10.1109/8.1096
  9. HANSEN, R. C. Phased Array Antennas. 2nd ed. Hoboken (USA): John Wiley & Sons, 2009. ISBN: 9780470401026
  10. TODNATEE, S., PHONGCHAROENPANICH, C. Iterative GA optimization scheme for synthesis of radiation pattern of linear array antenna. International Journal of Antennas and Propagation, 2016, vol. 2016, p. 1–8. DOI: 10.1155/2016/7087298
  11. ALLARD, R. J., WERNER, D. H., WERNER, P. L. Radiation pattern synthesis for arrays of conformal antennas mounted on arbitrarily shaped three-dimensional platforms using genetic algorithms. IEEE Transactions on Antennas and Propagation, 2003, vol. 51, no. 5, p. 1054–1062. DOI: 10.1109/TAP.2003.811510
  12. MARCANO, D., DURAN, F. Synthesis of antenna arrays using genetic algorithms. IEEE Antennas and Propagation Magazine, 2000, vol. 42, no. 3, p. 12–20. DOI: 10.1109/74.848944
  13. CHOU, H.-T. An efficient successive projection method for the synthesis of phased array antennas to radiate contoured field patterns. In Proceedings of the IEEE International Conference on Wireless Information Technology and Systems (ICWITS). Maui (HI, USA), 2012, p. 1–4. DOI: 10.1109/ICWITS.2012.6417699
  14. VERDIN, B., DEBROUX, P. 2D and 3D far-field radiation patterns reconstruction based on compressive sensing. Progress In Electromagnetics Research M, 2016, vol. 46, p. 47–56. DOI: 10.2528/PIERM15110306
  15. GU, Y., SUN, H.-H., VAN DER WEIDE, D. W. A near-field super resolution network for accelerating antenna characterization. IEEE Transactions on Antennas and Propagation, 2024, vol. 73, no. 3, p. 1732–1742. DOI: 10.1109/TAP.2024.3511040
  16. PENG, F., LIU, X., ZHENG, J., et al. An effective method for antenna radiation pattern reconstruction based on phaseless measurement in a reverberation chamber. IEEE Transactions on Antennas and Propagation, 2023, vol. 71, no. 6, p. 4747–4758. DOI: 10.1109/TAP.2023.3262966
  17. GREGSON, S., MCCORMICK, J., PARINI, C. Principles of Planar Near-Field Antenna Measurements. London (UK): IET, 2007. ISBN: 0863417361
  18. PIZZO, A., SANGUINETTI, L., MARZETTA, T. L. Fourier planewave series expansion for holographic MIMO communications. IEEE Transactions on Wireless Communications, 2022, vol. 21, no. 9, p. 6890–6905. DOI: 10.1109/TWC.2022.3152965
  19. YAGHJIAN, A. D. An overview of near-field antenna measurements. IEEE Transactions on Antennas and Propagation, 1986, vol. 34, no. 1, p. 30–45. DOI: 10.1109/TAP.1986.1143727
  20. HANSEN, T. B., YAGHJIAN, A. D. Plane-Wave Theory of Time-Domain Fields: Near-Field Scanning Applications. New York (USA): John Wiley & Sons, 1999. ISBN: 9780470545522
  21. LIU, J. W., TSENG, S. H. Near-to-far-field transformation scheme utilizing a modified sinc interpolation method for PSTD simulations. Optics Express, 2024, vol. 32, no. 26, p. 47225–47235. DOI: 10.1364/OE.546322
  22. LU,Y., SHI, S., CUI, M., et al. Probe distance error analysis for phased array calibration based on BTM. Microwave and Optical Technology Letters, 2022, vol. 64, no. 3, p. 496–499. DOI: 10.1002/mop.33150
  23. HANSEN, J. E. (ed.). Spherical Near-Field Antenna Measurements. London (UK): Peter Peregrinus, 1988. DOI: 10.1049/PBEW026E
  24. AMIDROR, I. Scattered data interpolation methods for electronic imaging systems: A survey. Journal of Electronic Imaging, 2002, vol. 11, no. 2, p. 157–176. DOI: 10.1117/1.1455013
  25. ITOH, K. Analysis of the phase unwrapping algorithm. Applied Optics, 1982, vol. 21, no. 14, p. 2470–2470. DOI: 10.1364/AO.21.002470
  26. LIU, J. W. Sparse Far-Field Reconstruction in the Spectral Domain (Julia source code). [Online] Cited 2026-01-01. Available at: https://github.com/jake-w-liu/kinterp.jl

Keywords: Antenna radiation, reconstruction algorithm, far-field pattern measurement, near-to-far field transformation.

A. Tatovic, M. Milosevic, D. Damnjanovic [references] [full-text] [DOI: 10.13164/re.2026.0375] [Download Citations]
Propagation-Aware Link Budget and Availability Analysis of a 15 GHz TETRA Radio Relay Link in Mountainous and Tunnel Environments

Reliable design of radio relay links in complex propagation environments remains a significant challenge for mission-critical communication systems. This paper presents a propagation-aware link budget methodology that integrates terrain morphology, Fresnel zone clearance, atmospheric attenuation (including gaseous absorption and precipitation), and multipath propagation into a unified analytical framework in accordance with ITU-R recommendations. The main contribution lies in the systematic integration of multiple propagation mechanisms into a unified procedure for link availability estimation and propagation-aware radio-relay link assessment. A representative 15 GHz radio relay link between the Laz tunnel and the Ovcar site, designed for a capacity of 100 Mb/s within a TETRA system, is used as a case study for verification. Analytical calculations of received signal power, fade margin, and link availability are supported by simulation-based verification using Radio Mobile. Good agreement between analytical and simulation-based predictions was obtained, with a received signal level difference below 2 dB. Multipath propagation is identified as the dominant degradation mechanism, while rain attenuation has a secondary impact. The achieved link availability exceeds 99.99%, demonstrates practical applicability for the considered case study.

  1. PABST, R., WALKE, B. H., SCHULTZ, D. C., et al. Relay-based deployment concepts for wireless and mobile broadband radio. IEEE Communications Magazine, 2004, vol. 42, no. 9, p. 80–89. DOI: 10.1109/MCOM.2004.1336724
  2. SALEMA, C. Microwave Radio Links: From Theory to Design. Hoboken (NJ, USA): John Wiley & Sons, 2002. ISBN: 978-0-471-42026-2
  3. FREEMAN, R. L. Radio System Design for Telecommunications. 3rd ed. Hoboken (NJ, USA): John Wiley & Sons, 2007. ISBN: 978-0-470-05043-9
  4. GLIKSTEIN, O., PINHASI, G. A., PINHASI, Y. Scaled model for studying the propagation of radio waves diffracted from tunnels. Electronics, 2024, vol. 13, no. 10, p. 1–15. DOI: 10.3390/electronics13101983
  5. OHTA, S., NISHIO, T., KUDO, R., et al. Point cloud-based proactive link quality prediction for millimeter-wave communications. IEEE Transactions on Machine Learning in Communications and Networking, 2023, vol. 1, p. 258–276. DOI: 10.1109/TMLCN.2023.3319286
  6. MOYDUNOV, T., SARIMSAKOV, A., OMOROVA, S., et al. Analysis of radio relay station control system using IT-technologies. Machinery & Energetics, 2024, vol. 15, no. 4, p. 136–146. DOI: 10.31548/machinery/4.2024.136
  7. ABDULVASEA, M. O. A., ADYLBEKOVA, K. A. Methods for designing professional communication systems of TETRA standard, taking into account reliability indicators, Synchroinfo Journal, 2020, vol. 6, no. 6, p. 17–20. DOI: 10.36724/2664-066x-2020-6-6-17-20
  8. FERREIRA, E., SEBASTIÃO, C., CERCAS, F., et al. An opti-mized planning tool for microwave terrestrial and satellite link de-sign. Future Internet, 2023, vol. 15, no. 2, p. 1–21. DOI: 10.3390/fi15020058
  9. ZHANG, X., ZHAO, Z., WU, Z., et al. Rain attenuation prediction model for terrestrial links incorporating wet antenna effects. IET Microwaves, Antennas & Propagation, 2023, vol. 17, no. 8, p. 634–641. DOI: 10.1049/mia2.12384
  10. SAMAD, M. A., DIBA, F. D., CHOI, D.-Y. A survey of rain attenuation prediction models for terrestrial links—current research challenges and state-of-the-art. Sensors, 2021, vol. 21, no. 4, p. 1–28. DOI: 10.3390/s21041207
  11. CHANDRA, D., YUSNITA, S., MEIDELFI, D., et al. Microwave link planning for USO/N3T telecommunication sites using Atoll radio planning software. International Journal of Advanced Technology and Social Sciences, 2025, vol. 3, no. 12, p. 1603 to 1616. DOI: 10.59890/ijatss.v3i12.150
  12. GAO, H., JIANG, T., LI, J., et al. Comparison of relay methods for long-distance radio frequency transmission. Journal of Lightwave Technology, 2024, vol. 42, no. 1, p. 121–127. DOI: 10.1109/JLT.2023.3304563
  13. VILA, I., SALLENT, O., PEREZ-ROMERO, J. Relay-empowered beyond 5G radio access networks with edge computing capabilities. Computer Networks, 2024, vol. 243, p. 1–11. DOI: 10.1016/j.comnet.2024.110287
  14. SUN, S., RAPPAPORT, T. S., SHAFI, M., et al. Propagation models and performance evaluation for 5G millimeter-wave bands, IEEE Transactions on Vehicular Technology, 2018, vol. 67, no. 9, p. 8422–8439. DOI: 10.1109/tvt.2018.2848208
  15. YANG, K., SHI, Z., QIN, L., et al. Performance evaluation of the radio propagation in a vessel cabin using LoRa bands. Sensors, 2025, vol. 26, no. 1, p. 1–18. DOI: 10.3390/s26010207
  16. UNGER, T. I., KUNCZMANN, M. The impact of terrain sampling density on 5G NR-V2X downlink channel modeling using various propagation models at the 3.6 GHz band. Radioengineering, 2025, vol. 34, no. 4, p. 603–623. DOI: 10.13164/re.2025.0603
  17. TATOVIC, A. Digital TETRA radio relay link design for the tunnel Laz–Ovcar section. In Proceedings of the 25th International Symposium INFOTEH-JAHORINA. Jahorina (Bosnia and Herzegovina), 2026, p. 1–4. DOI: 10.1109/INFOTEH68759.2026.11477675
  18. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R F.636-5, Radio-Frequency Channel Arrangements for Fixed Wireless Systems Operating in the 14.4-15.35 GHz Band. Nov. 2019.
  19. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.1812-7, A Path-Specific Propagation Prediction Method for Point-to-Area Terrestrial Services in Frequency Range 30 MHz to 6 GHz. Aug. 2023.
  20. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.525-4, Calculation of Free-Space Attenuation. Aug. 2019.
  21. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.841-6, Conversion of Annual Statistics to Worst-Month Statistics. Aug. 2019.
  22. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.453-13, The Radio Refractive Index: Its Formula and Refractivity Data. Aug. 2019.
  23. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.837-7, Characteristics of Precipitation for Propagation Modelling. Jun. 2017.
  24. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.836-6, Water Vapour: Surface Density and Total Columnar Content. Dec. 2017.
  25. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.530-18, Prediction Methods Required for the Design of Terrestrial Line-Of-Sight Systems. Sep. 2021.
  26. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.526-15, Propagation by Diffraction. Oct. 2019.
  27. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.676-13, Attenuation by Atmospheric Gases and Related Effects. Aug. 2022.
  28. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.678-3, Characterization of the Variability of Propagation Phenomena and Estimation of the Risk Associated with Propagation Margin. July 2015.
  29. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.838-3, Specific Attenuation Model for Rain for Use in Prediction Methods. Mar. 2005.
  30. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.834-9, Effects of Tropospheric Refraction on Radiowave Propagation. Dec. 2017.
  31. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R P.840-8, Attenuation due to Clouds and Fog. Aug. 2019.
  32. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-T G.821, Error Performance of an International Digital Connection Operating at a Bit Rate below the Primary Rate and Forming Part of an Integrated Services Digital Network. Dec. 2002.
  33. INTERNATIONAL TELECOMMUNICATION UNION. Recommendation ITU-R F.1668-1, Error Performance Objectives for Real Digital Fixed Wireless Links Used in 27 500 km Hypothetical Reference Paths and Connections. 2007.
  34. INTERNATIONAL TELECOMMUNICATION UNION. Recom-mendation ITU-R F.1703, Availability and Error Performance Objectives for Real Digital Fixed Wireless Links Used in 27 500 km Hypothetical Reference Paths and Connections. 2005.
  35. OLSEN, R. L., TJELTA, T. Worldwide techniques for predicting the multipath fading distribution on terrestrial LOS links: Background and results of tests. IEEE Transactions on Antennas and Propagation, 1999, vol. 47, no. 1, p. 157–170. DOI: 10.1109/8.753006
  36. GOVERNMENT OF THE REPUBLIC OF SERBIA. Decree on the establishment of the radio frequency bands allocation plan, prepared by the Regulatory Authority for Electronic Communications and Postal Services (RATEL). Official Gazette of the Republic of Serbia, No. 76, August 29, 2025.
  37. ELECTRONIC COMMUNICATIONS COMMITTEE (ECC). The European Table of Frequency Allocations and Applications (ECA Table). CEPT, November 20, 2025.
  38. INTERNATIONAL TELECOMMUNICATION UNION. Radio Regulations, Edition of 2024. 2024.
  39. COUDE, R. Radio Mobile: Radio propagation simulation software. [Online]. Available: http://www.ve2dbe.com

Keywords: Radio relay link design, propagation-aware modeling, link budget analysis, multipath fading, TETRA communication systems

X. Rui, R. Chen, X. Zhao, J. Yang, J. Chen [references] [full-text] [DOI: 10.13164/re.2026.0392] [Download Citations]
Lightweight LLM-based End-to-End CSI Prediction for MIMO-OFDM Systems

Accurate channel state information (CSI) is essential for multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems, yet fast time-varying channels pose significant prediction challenges. Traditional approaches fail under high mobility, while deep learning methods rely heavily on large labeled datasets, limiting generalization with scarce training data. Although large language models (LLMs) show promise, their massive parameter count hinders deployment on resource-constrained edge devices. This paper proposes a lightweight, end-to-end CSI prediction framework built upon a general LLM. A time-frequency dual-domain feature extraction module captures subcarrier correlations and temporal dynamics from historical CSI, overcoming single-domain limitations. The end-to-end design maps historical CSI directly to future states, avoiding error propagation inherent in explicit channel estimation. Parameter efficiency is achieved through low-rank adaptation (LoRA) combined with knowledge distillation from a pre-trained LLM, enabling effective few-shot learning at low computational cost. Simulations demonstrate that the proposed scheme delivers robust prediction accuracy across diverse mobility scenar-ios, maintains strong performance under limited training data, and exhibits zero-shot cross-scenario generalization, significantly outperforming both conventional and deep learning baselines in TDD and FDD modes.

  1. PARK, J., SOHRABI, F., GHOSH, A., et al. End-to-end deep learning for TDD MIMO systems in the 6G upper midbands. IEEE Transactions on Wireless Communications, 2025, vol. 24, no. 3, p. 2110–2125. DOI: 10.1109/TWC.2024.3516633
  2. BJORNSON, E., HOYDIS, J., KOUNTOURIS, M. Massive MIMO systems with non-ideal hardware: Energy efficiency, estimation, and capacity limits. IEEE Transactions on Information Theory, 2014, vol. 60, no. 11, p. 7112–7139. DOI: 10.1109/TIT.2014.2354403
  3. LARSSON, E., EDFORS, O., TUFVESSON, F., et al. Massive MIMO for next generation wireless systems. IEEE Communications Magazine, 2014, vol. 52, no. 2, p. 186–195. DOI: 10.1109/MCOM.2014.6736761
  4. TRUONG, K. T., HEATH, R. W. Effects of channel aging in massive MIMO systems. Journal of Communications and Networks, 2013, vol. 15, no. 4, p. 338–351. DOI: 10.1109/JCN.2013.000065
  5. SHI, J., LI, Z., HU, J., et al. OTFS enabled LEO satellite communications: A promising solution to severe Doppler effects. IEEE Network, 2024, vol. 38, no. 1, p. 203–209. DOI: 10.1109/MNET.129.2200458
  6. LIM, B., YUN, W. J., KIM, J., et al. Joint pilot design and channel estimation using deep residual learning for multi-cell massive MIMO under hardware impairments. IEEE Transactions on Vehicular Technology, 2022, vol. 71, no. 7, p. 7599–7612. DOI: 10.1109/TVT.2022.3170556
  7. JEE, J., PARK, H. Deep learning-based joint optimization of closed-loop FDD mmwave massive MIMO: Pilot adaptation, CSI feedback, and beamforming. IEEE Transactions on Vehicular Technology, 2024, vol. 73, no. 3, p. 4019–4034. DOI: 10.1109/TVT.2023.3327276
  8. ZHENG, J., ZHANG, J., BJORNSON, E., et al. Impact of channel aging on cell-free massive MIMO over spatially correlated channels. IEEE Transactions on Wireless Communications, 2021, vol. 20, no. 10, p. 6451–6466. DOI: 10.1109/TWC.2021.3074421
  9. BENZINE, W., BEMANI, A., KSAIRI, N., et al. Models, methods, and waveforms for estimation and prediction of sparse time-varying channels. IEEE Transactions on Wireless Communications, 2026, vol. 25, p. 9623–9638. DOI: 10.1109/TWC.2025.3644666
  10. PAPAZAFEIROPOULOS, A. K. Impact of general channel aging conditions on the downlink performance of massive MIMO. IEEE Transactions on Vehicular Technology, 2017, vol. 66, no. 2, p. 1428–1442. DOI: 10.1109/TVT.2016.2570742
  11. ZHOU, B., YANG, X., MA, S., et al. Low-overhead channel estimation via 3D extrapolation for TDD mmwave massive MIMO systems under high-mobility scenarios. IEEE Transactions on Wireless Communications, 2025, vol. 24, no. 4, p. 2797–2813. DOI: 10.1109/TWC.2024.3524911
  12. GE, L., WANG, Z., QIAN, L., et al. Sparsity adaptive compressive sensing based two-stage channel estimation algorithm for massive MIMO-OFDM systems. Radioengineering, 2023, vol. 32, no. 2, p. 197–206. DOI: 10.13164/re.2023.0197
  13. GIZZINI, A. K., CHAFII, M. Deep learning based channel estimation in high mobility communications using Bi-RNN networks. In Proceedings of the ICC 2023 - IEEE International Conference on Communications. Rome (Italy), 2023, p. 2607–2612. DOI: 10.1109/ICC45041.2023.10278783
  14. PENG, F., ZHANG, S., JIANG, Z., et al. A novel mobility induced channel prediction mechanism for vehicular communications. IEEE Transactions on Wireless Communications, 2023, vol. 22, no. 5, p. 3488–3502. DOI: 10.1109/TWC.2022.3219052
  15. SANG, Y., MA, K., WANG, Z., et al. Dual-band super-resolution channel prediction in high-mobility MIMO systems. IEEE Transactions on Communications, 2025, vol. 73, no. 6, p. 4409 to 4424. DOI: 10.1109/TCOMM.2024.3511954
  16. KRISTIANI, E., VERMA, V. K., YANG, C. T., et al. Deploying LLM transformer on edge computing devices: A survey of strategies, challenges, and future directions. AI, 2026, vol. 7, no. 1, p. 1–37. DOI: 10.3390/ai7010015
  17. CHONG, B., LU, H., NIYATO, D., et al. Large language model-driven channel prediction in cell-free mMIMO systems. IEEE Journal on Selected Areas in Communications, 2026, vol. 44, p. 3412–3426. DOI: 10.1109/JSAC.2026.3654883
  18. QWEN AI. Qwen 2.5 Requirements [EB/OL]. [Online] Available at: https://www.qwen-ai.com/requirements/.
  19. YIN, H., WANG, H., LIU, Y., et al. Addressing the curse of mobility in massive MIMO with prony-based angular-delay domain channel predictions. IEEE Journal on Selected Areas in Communications, 2020, vol. 38, no. 12, p. 2903–2917. DOI: 10.1109/JSAC.2020.3005473
  20. WANG, X., SHI, Y., XIN, W., et al. Channel prediction with time-varying Doppler spectrum in high-mobility scenarios: A polynomial Fourier transform based approach and field measurements. IEEE Transactions on Wireless Communications, 2023, vol. 22, no. 11, p. 7116–7129. DOI: 10.1109/TWC.2023.3247825
  21. MATTU, S. R., THEAGARAJAN, L. N., CHOCKALINGAM, A. Deep channel prediction: A DNN framework for receiver design in time-varying fading channels. IEEE Transactions on Vehicular Technology, 2022, vol. 71, no. 6, p. 6439–6453. DOI: 10.1109/TVT.2022.3162887
  22. JIANG, W., SCHOTTEN, H. D. Neural network-based fading channel prediction: A comprehensive overview. IEEE Access, 2019, vol. 7, p. 118112–118124. DOI: 10.1109/ACCESS.2019.2937588
  23. LIU, Q., CAO, N., LI, M., et al. Wireless channel state prediction method based on improved adaptive and parameter-free recurrent neural structure. IEEE Access, 2022, vol. 10, p. 63329–63338. DOI: 10.1109/ACCESS.2022.3182376
  24. POLAK, L., TURAK, S., SOTNER, R., et al. Exploring deep learn-ing architectures for RF signal classification. In 35th International Conference Radioelektronika. Hnanice (Czech Republic), 2025, p. 1–6. DOI: 10.1109/radioelektronika65656.2025.11008396
  25. XIAO, Z., ZHANG, Z., CHEN, Z., et al. From data-driven learning to physics-inspired inferring: A novel mobile MIMO channel prediction scheme based on neural ODE. IEEE Transactions on Wireless Communications, 2024, vol. 23, no. 7, p. 7186–7199. DOI: 10.1109/TWC.2023.3338419
  26. ZHANG, Y., WU, Y., LIU, A., et al. Deep learning-based channel prediction for LEO satellite massive MIMO communication system. IEEE Wireless Communications Letters, 2021, vol. 10, no. 8, p. 1835–1839. DOI: 10.1109/LWC.2021.3083267
  27. SAFARI, M. S., POURAHMADI, V., SODAGARI, S. Deep UL2DL: Data-driven channel knowledge transfer from uplink to downlink. IEEE Open Journal of Vehicular Technology, 2020, vol. 1, p. 29–44. DOI: 10.1109/OJVT.2019.2962631
  28. CAO, C., CHEN, M., ZHANG, Y., et al. Deep learning-enhanced channel prediction for XL-MIMO systems. IEEE Communications Letters, 2025, vol. 29, no. 6, p. 1260–1264. DOI: 10.1109/LCOMM.2025.3558838
  29. ZHANG, Z., ZHANG, Y., ZHANG, J., et al. Adversarial training-aided time-varying channel prediction for TDD/FDD systems. China Communications, 2023, vol. 20, no. 6, p. 100–115. DOI: 10.23919/JCC.fa.2020-0698.202306
  30. ZHOU, T., LIU, X., XIANG, Z., et al. Transformer network based channel prediction for CSI feedback enhancement in AI-native air interface. IEEE Transactions on Wireless Communications, 2024, vol. 23, no. 9, p. 11154–11167. DOI: 10.1109/TWC.2024.3379123
  31. JIANG, H., CUI, M., NG, D. W. K., et al. Accurate channel prediction based on transformer: Making mobility negligible. IEEE Journal on Selected Areas in Communications, 2022, vol. 40, no. 9, p. 2717–2732. DOI: 10.1109/JSAC.2022.3191334
  32. OU, R., LIU, X., YI, Y. Channel state information prediction using transformer models for high-mobility wireless networks. In Pro-ceedings of the 2025 International Conference on Electrical Auto-mation and Artificial Intelligence (ICEAAI). Guangzhou (China), 2025, p. 925–929. DOI: 10.1109/ICEAAI64185.2025.10956273
  33. KIM, D., GONG, J., KANG, J. MIMO channel prediction via deep learning-based conformal Bayes filter. arXiv Preprint, 2026, p. 1–5. DOI: 10.48550/arXiv.2603.04764
  34. CUI, Y., GUO, J., CAO, Z., et al. Lightweight neural network with knowledge distillation for CSI feedback. IEEE Transactions on Communications, 2024, vol. 72, no. 8, p. 4917–4929. DOI: 10.1109/TCOMM.2024.3377724
  35. LIU, B., LIU, X., GAO, S., et al. LLM4CP: Adapting large language models for channel prediction. Journal of Communications and Information Networks, 2024, vol. 9, no. 2, p. 113–125. DOI: 10.23919/JCIN.2024.10582829
  36. FAN, S., LIU, Z., GU, X., et al. Csi-LLM: A novel downlink channel prediction method aligned with LLM pre-training. In 2025 IEEE Wireless Communications and Networking Conference. Milan (Italy), 2025, p. 1–6. DOI: 10.1109/WCNC61545.2025.10978424
  37. LI, Z., YANG, Q., XIONG, Z., et al. Bridging the modality gap: Enhancing channel prediction with semantically aligned LLMs and knowledge distillation. IEEE Journal on Selected Areas in Communications, 2026, vol. 44, p. 3382–3396. DOI: 10.1109/JSAC.2025.3647607
  38. HE, J., REN, Z., YAO, J., et al. Sensing-assisted channel prediction in complex wireless environments: An LLM-based approach. IEEE Wireless Communications Letters, 2025, vol. 14, no. 12, p. 3857 to 3861. DOI: 10.1109/LWC.2025.3600454
  39. HE, X., LV, Y., CUI, S., et al. Multimodal large language model-aided environment-aware channel prediction and beamforming. IEEE Network, 2026, vol. 40, no. 3, p. 229–238. DOI: 10.1109/MNET.2026.3660027
  40. YANG, H., LAMBOTHARAN, S., DERAKHSHANI, M. FAS-LLM: Large language model-based channel prediction for OTFS-enabled satellite-FAS links. IEEE Journal on Selected Areas in Communications, 2026, vol. 44, p. 2952–2963. DOI: 10.1109/JSAC.2025.3647013
  41. YU, L., SHI, L., ZHANG, J., et al. ChannelGPT: A large model toward real-world channel foundation model for 6G environment intelligence communication. IEEE Communications Magazine, 2025, vol. 63, no. 10, p. 68–74. DOI: 10.1109/MCOM.001.2400780
  42. ZHOU, H., HU, C., YUAN, Y., et al. Large language model (LLM) for telecommunications: A comprehensive survey on principles, key techniques, and opportunities. IEEE Communications Surveys and Tutorials, 2025, vol. 27, p. 1955–2005. DOI: 10.1109/COMST.2024.3465447
  43. 3GPP RADIO ACCESS NETWORK WORKING GROUP. Study on Channel Model for Frequencies from 0.5 to 100 GHz (Release 15). 3GPP TR 38.901, Sophia Antipolis, France: 3GPP, 2018.
  44. LIU, L., OESTGES, C., POUTANEN, J., et al. The COST 2100 MIMO channel model. IEEE Wireless Communications, 2012, vol. 19, no. 6, p. 92–99. DOI: 10.1109/MWC.2012.6393523
  45. AYACH, O. E., RAJAGOPAL, S., ABU-SURRA, S., et al. Spatially sparse precoding in millimeter wave MIMO systems. IEEE Transactions on Wireless Communications, 2014, vol. 13, no. 3, p. 1499–1513. DOI: 10.1109/TWC.2014.011714.130846
  46. SU, J., LU, Y., PAN, S., et al. RoFormer: Enhanced transformer with rotary position embedding. arXiv Preprint, 2021. DOI: 10.48550/arXiv.2104.09864
  47. VASWANI, A., SHAZEER, N., PARMAR, N., et al. Attention is all you need. In Proceedings of the 31st International Conference on Neural Information Processing Systems (NIPS’17). Long Beach (CA, USA), 2017, p. 6000–6010. DOI: 10.5555/3295222.3295349

Keywords: Channel prediction, multiple-input multiple-output (MIMO), orthogonal frequency division multiplexing (OFDM), large language model (LLM), knowledge distillation, low-rank adaptation (LoRA)