Sparsity‐optimised farrow structure variable fractional delay filter for wideband array

Abstract In this paper, a new sparsity‐optimised Farrow structure variable fractional delay (SFS‐VFD) filter is proposed to address the aperture effect in wideband array. Our method is based on coefficient (anti‐)symmetry and optimises the number and orders of its sub‐filters, greatly reducing the n...

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Main Authors: Wenjing Zhou, Mingwei Shen, Min Xu, Guodong Han, Yudong Zhang
Format: Article
Language:English
Published: Hindawi-IET 2023-06-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12228
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author Wenjing Zhou
Mingwei Shen
Min Xu
Guodong Han
Yudong Zhang
author_facet Wenjing Zhou
Mingwei Shen
Min Xu
Guodong Han
Yudong Zhang
author_sort Wenjing Zhou
collection DOAJ
description Abstract In this paper, a new sparsity‐optimised Farrow structure variable fractional delay (SFS‐VFD) filter is proposed to address the aperture effect in wideband array. Our method is based on coefficient (anti‐)symmetry and optimises the number and orders of its sub‐filters, greatly reducing the non‐zero coefficients. The established cost function is formulated as a parametric minimisation problem with multiple regularisation constraints, and solved by the modified three‐block alternating direction multiplier method (MTB‐ADMM), which is improved by introducing core variable correction items to ensure stable and fast convergence. Experimental results show that the SFS‐VFD filter reduces the complexity of the system by decreasing the use of multipliers and adders while ensuring high delay accuracy. In wideband array, the SFS‐VFD filter effectively corrects the aperture effect and achieves precise beam pointing.
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spelling doaj.art-53f8596854fd46cea7775c5eea8eb0f12023-12-03T10:52:22ZengHindawi-IETIET Signal Processing1751-96751751-96832023-06-01176n/an/a10.1049/sil2.12228Sparsity‐optimised farrow structure variable fractional delay filter for wideband arrayWenjing Zhou0Mingwei Shen1Min Xu2Guodong Han3Yudong Zhang4College of Computer and Information Engineering Hohai University Nanjing ChinaCollege of Computer and Information Engineering Hohai University Nanjing ChinaScience and Technology on Electronic Information Control Laboratory Chengdu ChinaThe 54th Research Institute of CETC Shijiazhuang ChinaSchool of Computing and Mathematical Sciences University of Leicester Leicester UKAbstract In this paper, a new sparsity‐optimised Farrow structure variable fractional delay (SFS‐VFD) filter is proposed to address the aperture effect in wideband array. Our method is based on coefficient (anti‐)symmetry and optimises the number and orders of its sub‐filters, greatly reducing the non‐zero coefficients. The established cost function is formulated as a parametric minimisation problem with multiple regularisation constraints, and solved by the modified three‐block alternating direction multiplier method (MTB‐ADMM), which is improved by introducing core variable correction items to ensure stable and fast convergence. Experimental results show that the SFS‐VFD filter reduces the complexity of the system by decreasing the use of multipliers and adders while ensuring high delay accuracy. In wideband array, the SFS‐VFD filter effectively corrects the aperture effect and achieves precise beam pointing.https://doi.org/10.1049/sil2.12228array signal processingdigital filters
spellingShingle Wenjing Zhou
Mingwei Shen
Min Xu
Guodong Han
Yudong Zhang
Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
IET Signal Processing
array signal processing
digital filters
title Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
title_full Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
title_fullStr Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
title_full_unstemmed Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
title_short Sparsity‐optimised farrow structure variable fractional delay filter for wideband array
title_sort sparsity optimised farrow structure variable fractional delay filter for wideband array
topic array signal processing
digital filters
url https://doi.org/10.1049/sil2.12228
work_keys_str_mv AT wenjingzhou sparsityoptimisedfarrowstructurevariablefractionaldelayfilterforwidebandarray
AT mingweishen sparsityoptimisedfarrowstructurevariablefractionaldelayfilterforwidebandarray
AT minxu sparsityoptimisedfarrowstructurevariablefractionaldelayfilterforwidebandarray
AT guodonghan sparsityoptimisedfarrowstructurevariablefractionaldelayfilterforwidebandarray
AT yudongzhang sparsityoptimisedfarrowstructurevariablefractionaldelayfilterforwidebandarray