A "polyphase" structure of two-channel spectral graph wavelets and filter banks

Yuichi Tanaka; Akie Sakiyama

ICASSP 2017accepted0 citations

A "polyphase" structure of two-channel spectral graph wavelets and filter banks

Abstract

This paper addresses a polyphase <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> structure of spectral graph wavelets and filter banks. We consider two-channel critically sampled graph filter banks. In classical signal processing, polyphase structure of filter banks is very useful since downsampler (upsampler) can be placed before analysis filtering (after synthesis filtering). We theoretically derive that a similar structure is also possible for spectral graph filter banks. The structure can be used for any two-channel critically sampled spectral graph filter banks as long as an underlying graph is bipartite.

BibTeX

@inproceedings{icassp2017_apolyphasestruct,
  title = {A "polyphase" structure of two-channel spectral graph wavelets and filter banks},
  author = {Yuichi Tanaka and Akie Sakiyama},
  booktitle = {ICASSP 2017},
  year = {2017}
}