Derivation of the class of digital filters with all second-order modes equal

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the L2-sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all second-order modes equal. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.

Original languageEnglish
Article number5982445
Pages (from-to)5236-5242
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume59
Issue number11
DOIs
Publication statusPublished - 2011 Nov

Keywords

  • Analytical solutions' L-sensitivity minimization
  • first-order FIR digital filters
  • frequency transformations
  • second-order modes
  • state-space digital filters

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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