Abstract
This paper addresses a polyphase1 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.
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