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

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 d...

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Main Authors: ZHUANG Ling, LIU Ying, SONG Shiwei
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2024-04-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024088/
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author ZHUANG Ling
LIU Ying
SONG Shiwei
author_facet ZHUANG Ling
LIU Ying
SONG Shiwei
author_sort ZHUANG Ling
collection DOAJ
description 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.
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spelling doaj.art-f8b4be53363e4696a60c21a10fa756d92025-01-14T07:24:14ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2024-04-014513714559254908Method for the design of variable fractional delay filters with coefficient-dependence relationZHUANG LingLIU YingSONG ShiweiAiming 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.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024088/variable fractional delay filtertime-domain interpolationcoefficient-dependence relationcomplexity
spellingShingle ZHUANG Ling
LIU Ying
SONG Shiwei
Method for the design of variable fractional delay filters with coefficient-dependence relation
Tongxin xuebao
variable fractional delay filter
time-domain interpolation
coefficient-dependence relation
complexity
title Method for the design of variable fractional delay filters with coefficient-dependence relation
title_full Method for the design of variable fractional delay filters with coefficient-dependence relation
title_fullStr Method for the design of variable fractional delay filters with coefficient-dependence relation
title_full_unstemmed Method for the design of variable fractional delay filters with coefficient-dependence relation
title_short Method for the design of variable fractional delay filters with coefficient-dependence relation
title_sort method for the design of variable fractional delay filters with coefficient dependence relation
topic variable fractional delay filter
time-domain interpolation
coefficient-dependence relation
complexity
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024088/
work_keys_str_mv AT zhuangling methodforthedesignofvariablefractionaldelayfilterswithcoefficientdependencerelation
AT liuying methodforthedesignofvariablefractionaldelayfilterswithcoefficientdependencerelation
AT songshiwei methodforthedesignofvariablefractionaldelayfilterswithcoefficientdependencerelation