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Design of near orthogonal graph filter banks

journal contribution
posted on 2015-06-01, 00:00 authored by David TayDavid Tay, Z Lin
The processing of signal on graphs is becoming an important emerging area that has great potential in a wide variety of applications, e.g. social network. The work by Narang and Ortega (2012) laid the framework for critically sampled orthogonal two-channel filter bank for signal on undirected bipartite graphs. The design method presented by Narang and Ortega (2012) does not allow the tailoring of the filters spectral response and the control of the reconstruction error of the filter bank. This work present a method to design spectral filters that is based on Bernstein polynomial approximation and constrained optimization. The method allows the trade-off between transition band sharpness, ripple magnitude and reconstruction error.

History

Journal

IEEE signal processing letters

Volume

22

Issue

6

Pagination

701 - 704

Publisher

Institute of Electrical and Electronics Engineers

Location

Piscataway, N.J.

ISSN

1070-9908

Language

eng

Publication classification

C Journal article; C1.1 Refereed article in a scholarly journal

Copyright notice

2014, IEEE