Compact Support Biorthogonal Wavelet Filterbanks for Arbitrary Undirected Graphs

@article{Narang2012CompactSB,
  title={Compact Support Biorthogonal Wavelet Filterbanks for Arbitrary Undirected Graphs},
  author={Sunil K. Narang and Antonio Ortega},
  journal={IEEE Transactions on Signal Processing},
  year={2012},
  volume={61},
  pages={4673-4685}
}
This paper extends previous results on wavelet filterbanks for data defined on graphs from the case of orthogonal transforms to more general and flexible biorthogonal transforms. As in the recent work, the construction proceeds in two steps: first we design “one-dimensional” two-channel filterbanks on bipartite graphs, and then extend them to “multi-dimensional” separable two-channel filterbanks for arbitrary graphs via a bipartite subgraph decomposition. We specifically design wavelet filters… 

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