Graph filter design using sum-of-squares representation

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Journal Title
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Volume Title
Conference article in proceedings
Date
2019-09-01
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Mcode
Degree programme
Language
en
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EUSIPCO 2019 - 27th European Signal Processing Conference, European Signal Processing Conference
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.
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Keywords
Convex optimization, Filter design, Graph filters
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Citation
Aittomäki , T & Leus , G 2019 , Graph filter design using sum-of-squares representation . in EUSIPCO 2019 - 27th European Signal Processing Conference . European Signal Processing Conference , IEEE , European Signal Processing Conference , Coruna , Spain , 02/09/2019 . https://doi.org/10.23919/EUSIPCO.2019.8903022