FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization

Filter model reduction is an important optimization method in digital signal processing. A method of FIR to FIR model reduction using SDP optimization is proposed in this paper. At first, we use SDP to design an original FIR filter. Then we name a general K-order FIR digital filter H1z−1 with coeffi...

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Main Authors: Haijiang Hu, Shaojing Song, Fengdeng Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Electrical and Computer Engineering
Online Access:http://dx.doi.org/10.1155/2020/4503706
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author Haijiang Hu
Shaojing Song
Fengdeng Zhang
author_facet Haijiang Hu
Shaojing Song
Fengdeng Zhang
author_sort Haijiang Hu
collection DOAJ
description Filter model reduction is an important optimization method in digital signal processing. A method of FIR to FIR model reduction using SDP optimization is proposed in this paper. At first, we use SDP to design an original FIR filter. Then we name a general K-order FIR digital filter H1z−1 with coefficient values equal to the first K + 1 filter coefficient values of H0z−1. Finally, we design a new general K-order FIR digital filter H2z−1 connected in parallel with H1z−1 using SDP optimization. The experiment results show this method has good performance on the magnitude error and the linear phase in passband. Therefore, this method can be used in the field of digital signal processing.
format Article
id doaj-art-ba039bedbdc74e308c9e2c5904884536
institution Kabale University
issn 2090-0147
2090-0155
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Electrical and Computer Engineering
spelling doaj-art-ba039bedbdc74e308c9e2c59048845362025-02-03T01:05:14ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552020-01-01202010.1155/2020/45037064503706FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP OptimizationHaijiang Hu0Shaojing Song1Fengdeng Zhang2College of Engineering, Shanghai Polytechnic University, 201209 Shanghai, ChinaCollege of Engineering, Shanghai Polytechnic University, 201209 Shanghai, ChinaSchool of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, 200093 Shanghai, ChinaFilter model reduction is an important optimization method in digital signal processing. A method of FIR to FIR model reduction using SDP optimization is proposed in this paper. At first, we use SDP to design an original FIR filter. Then we name a general K-order FIR digital filter H1z−1 with coefficient values equal to the first K + 1 filter coefficient values of H0z−1. Finally, we design a new general K-order FIR digital filter H2z−1 connected in parallel with H1z−1 using SDP optimization. The experiment results show this method has good performance on the magnitude error and the linear phase in passband. Therefore, this method can be used in the field of digital signal processing.http://dx.doi.org/10.1155/2020/4503706
spellingShingle Haijiang Hu
Shaojing Song
Fengdeng Zhang
FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
Journal of Electrical and Computer Engineering
title FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
title_full FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
title_fullStr FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
title_full_unstemmed FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
title_short FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization
title_sort fir to fir model reduction with linear group delay in passband by sdp optimization
url http://dx.doi.org/10.1155/2020/4503706
work_keys_str_mv AT haijianghu firtofirmodelreductionwithlineargroupdelayinpassbandbysdpoptimization
AT shaojingsong firtofirmodelreductionwithlineargroupdelayinpassbandbysdpoptimization
AT fengdengzhang firtofirmodelreductionwithlineargroupdelayinpassbandbysdpoptimization