OFDM系统中基于遗传算法的SR-NYQ脉冲成形滤波器设计

doi:10.3969/j.issn.0255-8297.2025.05.002

应用科学学报 ›› 2025, Vol. 43 ›› Issue (5): 730-739.doi: 10.3969/j.issn.0255-8297.2025.05.002

• 通信工程 • 上一篇

OFDM系统中基于遗传算法的SR-NYQ脉冲成形滤波器设计

李依静¹, 闻建刚¹, 邹园萍¹, 华惊宇¹, 盛彬²

1. 浙江工商大学信息与电子工程学院, 浙江杭州 310018;
2. 东南大学信息科学与工程学院, 江苏南京 211189

收稿日期:2024-12-10 发布日期:2025-10-16
通信作者: 华惊宇，教授，博士生导师，研究方向为无线通信。E-mail:eehjy@163.com E-mail:eehjy@163.com
基金资助:
国家自然科学基金（No. 62271445）

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

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

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

摘要/Abstract

摘要： 在带限数字通信系统中，平方根奈奎斯特（square-root Nyquist,SR-NYQ）滤波器通常同时应用于系统的发送端和接收端，可以有效减少符号间干扰（inter symbol interference,ISI）。本文提出了一种基于遗传算法（genetic algorithm,GA）的线性相位SR-NYQ滤波器设计方法，其中滤波器ISI、通带和阻带波纹被融合构造为适应度函数。得益于GA强大的全局优化能力，该方法设计的原型滤波器在更加接近奈奎斯特条件的同时，提供了优于传统根升余弦滤波器的设计灵活性。此外，本文设计的SR-NYQ滤波器在正交频分复用系统中作为匹配和成型滤波器进行测试，并与传统的根升余弦滤波器进行对比。仿真对比结果表明，本文所设计的SR-NYQ滤波器具有更好的频率响应，可以显著降低符号错误率。

关键词: 平方根奈奎斯特, 遗传算法, 滤波器设计, 正交频分复用

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)

中图分类号:

P751.1

李依静, 闻建刚, 邹园萍, 华惊宇, 盛彬. OFDM系统中基于遗传算法的SR-NYQ脉冲成形滤波器设计[J]. 应用科学学报, 2025, 43(5): 730-739.

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.

参考文献

[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.

OFDM系统中基于遗传算法的SR-NYQ脉冲成形滤波器设计

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	叶楠, 毕忠勤, 魏恒达, 吴迪. 多区型仓库多复核台场景的拣货路径优化研究[J]. 应用科学学报, 2021, 39(4): 581-593.
[2]	钟萍, 陈元明, 杜志成, 李琳, 桂林. 一种交通道路限制下的充电车辆调度方案[J]. 应用科学学报, 2021, 39(2): 199-209.
[3]	莫瑞超, 许小龙, 何强, 刘琦, 赵庆展. 面向车联网边缘计算的智能计算迁移研究[J]. 应用科学学报, 2020, 38(5): 779-791.
[4]	郭利凯, 吴瑛, 尹洁昕, 王成. OFDM中利用酉变换和结构最小二乘的角度和时延联合估计[J]. 应用科学学报, 2017, 35(6): 693-705.
[5]	董莉, 宋晓勤, 韩杰. 基于遗传粒子群优化的认知OFDM网络资源分配算法[J]. 应用科学学报, 2017, 35(3): 288-298.
[6]	蒋翠玲, 林家骏. 一种基于遗传算法和BP网络的鲁棒图像哈希方法[J]. 应用科学学报, 2016, 34(5): 537-546.
[7]	李国民, 刘鑫, 康晓非, 廖桂生. MIMO-OFDM系统中一种改进的盲信道估计算法[J]. 应用科学学报, 2016, 34(3): 286-292.
[8]	戴锡平，彭华，郑永军，王琦峰. 用于MIMO-OFDM 的变换域盲信道估计算法[J]. 应用科学学报, 2014, 32(5): 523-529.
[9]	郑毅1,2，郑苹3,4. 结合模糊熵和遗传算法的双阈值图像分割[J]. 应用科学学报, 2014, 32(4): 427-433.
[10]	戴翠琴，王亮，王海宝. OFDM中继系统中保证混合业务QoS的研究[J]. 应用科学学报, 2014, 32(1): 13-18.
[11]	郝耀鸿1，冷丹1，方涛2. 相干光OFDM系统中的偏振相关损耗效应[J]. 应用科学学报, 2014, 32(1): 39-43.
[12]	洪涛1，宋茂忠2，刘渝2. 多目标遗传算法方向调制物理层安全通信信号设计[J]. 应用科学学报, 2014, 32(1): 51-56.
[13]	吴爱爱1, 张祖凡1,2, 蒋红君1. 频率选择性衰落信道中一种OFDM-CANC的性能[J]. 应用科学学报, 2013, 31(4): 353-360.
[14]	陈刚，顾红，苏卫民，吴昊. 近场条件下的MIMO雷达阵列优化[J]. 应用科学学报, 2013, 31(4): 387-393.
[15]	叶新荣1,2，朱卫平1，孟庆民1. MIMO-OFDM 系统基于压缩感知的稀疏信道估计[J]. 应用科学学报, 2013, 31(3): 245-251.