Abstract

The processing of signals defined over domains modelled as graphs is becoming a fast emerging area of research. A graph filter bank allows for the wavelet transform on graph signals that is similar to the discrete wavelet transform (DWT) for regular domain signals. Localisation is an important property of the transform and the most localised DWT is with the Haar wavelets. Spectral graph filters that are highly localised is constructed. These filters can be considered as the counterparts to the Haar filters in DWT.

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