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Journal of Applied Sciences >

2025 , Vol. 43 >Issue 5: 730 - 739

DOI: https://doi.org/10.3969/j.issn.0255-8297.2025.05.002

Communication Engineering

GA-Based Design of SR-NYQ Pulse Shaping Filter for OFDM Systems

  • LI Yijing ,
  • WEN Jiangang ,
  • ZOU Yuanping ,
  • HUA Jingyu ,
  • SHENG Bin
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  • 1. School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, Zhejiang, China;
    2. School of Information Science and Engineering, Southeast University, Nanjing 211189, Jiangsu, China

Received date: 2024-12-10

  Online published: 2025-10-16

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Abstract

In band-limited digital communications, square-root Nyquist (SR-NYQ) filters are commonly applied at both the transmitter and receiver to effectively mitigate sampling inter symbol interference (ISI). This paper proposes a novel design method for linear-phase SR-NYQ filters based on genetic algorithms (GA), in which the fitness function consists of key performance metrics including ISI, passband ripple and stopband ripple. Due to the excellent global optimization capability of GA, the proposed method enables a closer approximation to the ideal Nyquist condition while providing additional design flexibility. To evaluate performance, the proposed SR-NYQ filter is compared with the conventional root raised cosine filter within an orthogonal frequency division multiplexing (OFDM) system. Simulation results demonstrate that the SR-NYQ filter designed using the proposed method achieves a superior frequency response and significantly reduces the symbol error rate (SER).

Key words： square-root Nyquist (SR-NYQ); genetic algorithm (GA); filter design; orthogonal frequency division multiplexing (OFDM)

Cite this article

LI Yijing , WEN Jiangang , ZOU Yuanping , HUA Jingyu , SHENG Bin . GA-Based Design of SR-NYQ Pulse Shaping Filter for OFDM Systems[J]. Journal of Applied Sciences, 2025 , 43(5) : 730 -739 . DOI: 10.3969/j.issn.0255-8297.2025.05.002

References

[1] Bariah L, Mohjazi L, Muhaidat S, et al. A prospective look: key enabling technologies, applications and open research topics in 6G networks [J]. IEEE Access, 2020, 8: 174792-174820.
[2] Zhao J H, Ni S J, Yang L H, et al. Multiband cooperation for 5G HetNets: a promising network paradigm [J]. IEEE Vehicular Technology Magazine, 2019, 14(4): 85-93.
[3] 王晶晶, 闻建刚, 邹园萍, 等. 存在定时偏移的UFMC系统信号与干扰分析[J]. 应用科学学报, 2022, 40(5): 790-800. Wang J J, Wen J G, Zou Y P, et al. Signal and interference analysis of UFMC system with timing offset [J]. Journal of Applied Sciences, 2022, 40(5): 790-800. (in Chinese)
[4] 郑晓康, 闻建刚, 邹园萍, 等. 基于CP重构的高时间传输效率CP-UFMC接收方法[J]. 应用科学学报, 2024, 42(2): 222-236. Zheng X K, Wen J G, Zou Y P, et al. High time transmission efficiency CP-UFMC receiving method based on CP reconstruction [J]. Journal of Applied Sciences, 2024, 42(2): 222-236. (in Chinese)
[5] Zhao J H, Guan X, Li X P, et al. Cross-layer in MIMO-OFDM system with adaptive modulation and coding: design and analysis [J]. Chinese Journal of Electronics, 2014, 23(2): 371-376.
[6] Hamamreh J M, Hajar A, Abewa M. Orthogonal frequency division multiplexing with subcarrier power modulation for doubling the spectral efficiency of 6G and beyond networks [J]. Transactions on Emerging Telecommunications Technologies, 2020, 31(4): e3921.
[7] Gazouleas K D, Sagias N C, Batistatos M C, et al. A new family of Nyquist pulses with improved performance [J]. IEEE Access, 2023, 11: 144676-144695.
[8] Xiao R W, Lei Q Y, Guo X, et al. A design of two sub-stage square-root Nyquist matched filter [J]. IEEE Access, 2018, 6: 23292-23302.
[9] Beaulieu N C, Tan C C, Damen M O. A “better than” Nyquist pulse [J]. IEEE Communications Letters, 2001, 5(9): 367-368.
[10] Assalini A, Tonello A M. Improved Nyquist pulses [J]. IEEE Communications Letters, 2004, 8(2): 87-89.
[11] Assimonis S D, Matthaiou M, Karagiannidis G K. Two-parameter Nyquist pulses with better performance [J]. IEEE Communications Letters, 2008, 12(11): 807-809.
[12] Hua J Y, Wen J G, Lu W D, et al. Design and application of nearly Nyquist and SRNyquist FIR filter based on linear programming and spectrum factorization [C]//20149th IEEE Conference on Industrial Electronics and Applications, 2014: 64-67.
[13] Taheri S, Ghoraishi M, Xiao P, et al. Square-root Nyquist filter design for QAM-based filter bank multicarrier systems [J]. IEEE Transactions on Vehicular Technology, 2018, 67(9): 9006-9010.
[14] Yao C Y, Chien C J. Design of a square-root-raised-cosine FIR filter by a recursive method [C]//2005 IEEE International Symposium on Circuits and Systems (ISCAS), 2005: 512-515.
[15] Farhang-Boroujeny B. A square-root Nyquist (M) filter design for digital communication systems [J]. IEEE Transactions on Signal Processing, 2008, 56(5): 2127-2132.
[16] Ashrafi A. Optimized linear phase square-root Nyquist FIR filters for CDMA IS-95 and UMTS standards [J]. Signal Processing, 2013, 93(4): 866-873.
[17] Tang K S, Man K F, Kwong S, et al. Genetic algorithms and their applications [J]. IEEE Signal Processing Magazine, 1996, 13(6): 22-37.
[18] Kumar A, Saha A, Ghosh S. A method of genetic algorithm (GA) for FIR filter construction: design and development with newer approaches in neural network platform [J]. International Journal of Advanced Computer Science and Applications, 2010, 1(6): 87-90.
[19] Wang W, Gao Q, Wang L. Optimal design of digital filter using genetic algorithm [J]. International Core Journal of Engineering, 2020, 6(10): 303-309.
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