通信学报 ›› 2024, Vol. 45 ›› Issue (4): 137-145.doi: 10.11959/j.issn.1000-436x.2024088

• 学术论文 • 上一篇    

具有系数相关性的可变分数时延滤波器设计方法

庄陵1,2,3, 刘莹1, 宋诗苇1   

  1. 1.重庆邮电大学通信与信息工程学院, 重庆 400065
    2.移动通信教育部工程研究中心, 重庆 400065
    3.移动通信技术重庆市重点实验室, 重庆 400065
  • 收稿日期:2023-10-27 修回日期:2023-12-21 出版日期:2024-04-30 发布日期:2024-05-27
  • 作者简介:庄陵 (1978- ),女,重庆人,博士,重庆邮电大学副教授,主要研究方向为通信与信息处理多载波技术、滤波器组理论。
    刘莹 (1999- ),女,山东聊城人,重庆邮电大学硕士生,主要研究方向为滤波器设计、数字信号处理。
    宋诗苇(1999- ),女,湖北十堰人,重庆邮电大学硕士生,主要研究方向为滤波器设计、数字信号处理。
  • 基金资助:
    重庆市教育委员会科学技术研究项目(KJQN202200617)

Method for the design of variable fractional delay filters with coefficient-dependence relation

Ling ZHUANG1,2,3, Ying LIU1, Shiwei SONG1   

  1. 1.School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
    2.Engineering Research Center of Mobile Communications of the Ministry of Education, Chongqing 400065, China
    3.Chongqing Key Laboratory of Mobile Communications Technology, Chongqing 400065, China
  • Received:2023-10-27 Revised:2023-12-21 Online:2024-04-30 Published:2024-05-27
  • Supported by:
    The Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN- 202200617)

摘要:

针对可变分数时延滤波器设计中的复杂度问题提出一种设计方法,将时域插值与泰勒级数展开相结合对Farrow结构进行系数配置,推导出相应的滤波器系数相关公式。该方法设计出的滤波器具有系数相关性,可使近一半滤波器系数独立,并得到低复杂度的滤波器实现结构。从复杂度、幅频响应及群时延、误差方面进行理论推导和仿真验证,分析结果表明,所提方法能有效降低可变分数时延滤波器的复杂度和计算成本。

关键词: 可变分数时延滤波器, 时域插值, 系数相关性, 复杂度

Abstract:

Aiming at the complexity problem in the design of variable fractional delay filters, a design method was considered. Time-domain interpolation and Taylor series expansion were integrated to configure the coefficient of Farrow structure, and the corresponding filter related formula was derived. The designed filter had coefficient-dependence relation, nearly half of the filter coefficients were independent, and an implemented structure of low-complexity filter was obtained. Theoretical derivation and simulation verification were conducted from the aspects of complexity, magnitude response, group delay, and error. The analysis shows that the proposed method can effectively reduce the complexity and computational cost of variable fractional delay filters.

Key words: variable fractional delay filter, time-domain interpolation, coefficient-dependence relation, complexity

中图分类号: 

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