Closed form expressions of the minimum L2-sensitivity realizations for all-pass digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents closed form expressions of the minimum L 2-sensitivity realizations of all-pass digital filters. We first prove that the L2-sensitivity minimization problem can be solved analytically if the all second-order modes of a digital filter are equal. We focus on the fact that the second-order modes of all-pass digital filters are all unity. As a result, it is clarified that the minimum L2- sensitivity realization of an all-pass digital filter is equal to the balanced realization, of which closed form expression can be derived analytically.

Original languageEnglish
Title of host publicationProceedings - 2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010
Pages977-981
Number of pages5
DOIs
Publication statusPublished - 2010 Dec 1
Event2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010 - Beijing, China
Duration: 2010 Sep 242010 Sep 26

Publication series

NameProceedings - 2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010

Other

Other2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010
CountryChina
CityBeijing
Period10/9/2410/9/26

Keywords

  • All-pass digital filters
  • Minimum L -sensitivity realizations
  • Second-order modes
  • State-space digital filters

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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