A Modified Algorithm for Constrained Least Square Design of Multiband FIR Filters without Specified Transition Bands

Ivan Selesnick, Markus Lang, C. Sidney Burrus

Research output: Contribution to journalArticle

Abstract

In a previous paper, we described a constrained least square approach to FIR filter design that does not use don't care regions. In that paper, we described a simple algorithm for the design of lowpass filters according to that approach. In this correspondence, we describe a modification of that algorithm that makes it converge for many multiband filter designs. Although no proof of convergence is given, the modified algorithm remains simple and converges rapidly in many cases. In this approach, the user supplies a lower and upper bound constraint that is exactly satisfied by the local minima and maxima of the frequency response amplitude. Yet, the constraints can be made as tight as desired-the transition band automatically adjusts (widens) to accommodate the constraints. Bandpass filers,.

Original languageEnglish (US)
Pages (from-to)497-501
Number of pages5
JournalIEEE Transactions on Signal Processing
Volume46
Issue number2
DOIs
StatePublished - 1998

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FIR filters
Frequency response

Keywords

  • Chebyshev approximation
  • Digital filters
  • Fir digital filters
  • Least squares methods
  • Linear-phase filters

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

A Modified Algorithm for Constrained Least Square Design of Multiband FIR Filters without Specified Transition Bands. / Selesnick, Ivan; Lang, Markus; Sidney Burrus, C.

In: IEEE Transactions on Signal Processing, Vol. 46, No. 2, 1998, p. 497-501.

Research output: Contribution to journalArticle

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