Skip to main navigation Skip to search Skip to main content

A unified approach for optimal design of FIR filters with arbitrary frequency response

  • Shefeng Yan*
  • , Yuanliang Ma
  • *Corresponding author for this work
  • Northwestern Polytechnical University Xian

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A unified approach for the optimal design of finite-impulse response (FIR) filters with arbitrary magnitude and phase response using second-order cone programming (SOCP) is proposed. FIR filters with desired frequency response can be implemented by minimizing the frequency domain response error measure ( L1, L2, or L∞ -norm of the error) between the designed filter response and the desired one. Some constraints can also be imposed in the passband or/and stopband to satisfy applications-oriented requirements. These optimal design problems can be reformulated as convex optimization form as the SOCP and solved efficiently via the well-established interior point method. The SOCP approach allows much more design flexibility in comparison to the classical minimax, least-square, and eigenfilter approaches. Computer simulation results for the design of FIR filters with desired frequency response show good performance of the proposed approach.

Original languageEnglish
Title of host publication2004 7th International Conference on Signal Processing Proceedings (ICSP'04)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages93-96
Number of pages4
ISBN (Print)0780384067
DOIs
Publication statusPublished - 2004
Externally publishedYes
Event7th International Conference on Signal Processing, ICSP 2004 - Beijing, China
Duration: 31 Aug 2004 → 4 Sept 2004

Publication series

NameInternational Conference on Signal Processing Proceedings, ICSP
Volume1
ISSN (Print)2164-5221
ISSN (Electronic)2164-523X

Conference

Conference7th International Conference on Signal Processing, ICSP 2004
Country/TerritoryChina
CityBeijing
Period31/08/04 → 4/09/04

Keywords

  • Arbitrary frequency response
  • Convex optimization
  • FIR filter design
  • Second-order cone programming

Fingerprint

Dive into the research topics of 'A unified approach for optimal design of FIR filters with arbitrary frequency response'. Together they form a unique fingerprint.

Cite this