Journal of Applied Sciences ›› 2025, Vol. 43 ›› Issue (5): 730-739.doi: 10.3969/j.issn.0255-8297.2025.05.002

• Communication Engineering • Previous Articles    

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

LI Yijing1, WEN Jiangang1, ZOU Yuanping1, HUA Jingyu1, SHENG Bin2   

  1. 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:2024-12-10 Published:2025-10-16

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)

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