Graph filter design using sum-of-squares representation

Tuomas Aittomäki, Geert Leus

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

3 Citations (Scopus)
36 Downloads (Pure)

Abstract

Graph filters are an essential part of signal processing on graphs enabling one to modify the spectral content of the graph signals. This paper proposes a graph filter optimization method with an exact control of the ripple on the passband and the stopband of the filter. The proposed filter design method is based on the sum-of-squares representation of positive polynomials. The optimization of both FIR and ARMA graph filters is convex with the proposed method.

Original languageEnglish
Title of host publicationEUSIPCO 2019 - 27th European Signal Processing Conference
PublisherIEEE
ISBN (Electronic)9789082797039
DOIs
Publication statusPublished - 1 Sep 2019
MoE publication typeA4 Article in a conference publication
EventEuropean Signal Processing Conference - Coruna, Spain
Duration: 2 Sep 20196 Sep 2019

Publication series

NameEuropean Signal Processing Conference
ISSN (Print)2219-5491
ISSN (Electronic)2076-1465

Conference

ConferenceEuropean Signal Processing Conference
Abbreviated titleEUSIPCO
CountrySpain
CityCoruna
Period02/09/201906/09/2019

Keywords

  • Convex optimization
  • Filter design
  • Graph filters

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