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

被引：0
|
作者：
Zhuang L. [1 ,2 ,3 ]
Liu Y. [1 ]
Song S. [1 ]
机构：
[1] School of Communications and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing
[2] Engineering Research Center of Mobile Communications of the Ministry of Education, Chongqing
[3] Chongqing Key Laboratory of Mobile Communications Technology, Chongqing
来源：
Tongxin Xuebao/Journal on Communications | 2024年 / 45卷 / 04期
关键词：
coefficient-dependence relation; complexity; time-domain interpolation; variable fractional delay filter;
D O I：
10.11959/j.issn.1000-436x.2024088
中图分类号：
学科分类号：
摘要：
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. © 2024 Editorial Board of Journal on Communications. All rights reserved.
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页码：137 / 145
页数：8
相关论文
共 16 条
  • [1] VALIMAKI V, LAAKSO T I., Fractional delay filters—design and applications, (2001)
  • [2] ZHAO Q C, ZHANG Y, WANG W, Et al., On the frequency dispersion in DBF SAR and digital scalloped beamforming, IEEE Transactions on Geoscience and Remote Sensing, 58, 5, pp. 3619-3632, (2020)
  • [3] ZHOU W J, SHEN M W, XU M, Et al., Sparsity-optimised farrow structure variable fractional delay filter for wideband array, IET Signal Processing, 17, 6, pp. 12228-12238, (2023)
  • [4] CANESE L, CARDARILLI G C, DI N L, Et al., Efficient digital implementation of a multirate-based variable fractional delay filter for wideband beamforming, IEEE Transactions on Circuits and Systems II: Express Briefs, 70, 6, pp. 2231-2235, (2023)
  • [5] MA H Y, YUAN Y N, LI Z, Et al., High-precision simulation technology for enhanced Loran signal simulators based on Lagrange Farrow structure filter, IET Radar, Sonar & Navigation, 17, 2, pp. 326-336, (2023)
  • [6] LI L L, CHEN Z Z, APHALE S S, Et al., Fractional repetitive control of nanopositioning stages for high-speed scanning using low-pass FIR variable fractional delay filter, IEEE/ASME Transactions on Mecha-tronics, 25, 2, pp. 547-557, (2020)
  • [7] DENG T B, CHIVAPREECHA S, DEJHAN K., Bi-minimax design of even-order variable fractional delay FIR digital filters, IEEE Transactions on Circuits and Systems I: Regular Papers, 59, 8, pp. 1766-1774, (2012)
  • [8] HUANG X D, ZHANG B, QIN H H, Et al., Closed-form design of variable fractional-delay FIR filters with low or middle cutoff frequencies, IEEE Transactions on Circuits and Systems I: Regular Papers, 65, 2, pp. 628-637, (2018)
  • [9] LAAKSO T I, VALIMAKI V, KARJALAINEN M, Et al., Splitting the unit delay[FIR/all pass filters design], IEEE Signal Processing Magazine, 13, 1, pp. 30-60, (1996)
  • [10] TSENG C C., Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond-shaped filter, Signal Processing, 87, 4, pp. 584-601, (2007)
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