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An M-Channel Critically Sampled Graph Filter Bank

Abstract: 

We investigate an M-channel critically sampled filter bank for graph signals where each of the M filters is supported on a different subband of the graph Laplacian spectrum. We partition the graph vertices such that the mth set comprises a uniqueness set for signals supported on the mth subband. For analysis, the graph signal is filtered on each subband and downsampled on the corresponding set of vertices. However, the classical synthesis filters are replaced with interpolation operators, circumventing the issue of how to design a downsampling pattern and graph spectral filters to ensure perfect reconstruction for signals that do not reside on bipartite graphs. The resulting transform is critically sampled and graph signals are perfectly reconstructable from their analysis coefficients. We empirically explore the joint vertex-frequency localization of the dictionary atoms and sparsity of the analysis coefficients, as well as the ability of the proposed transform to compress piecewise-smooth graph signals.

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Paper Details

Authors:
Yan Jin, David I Shuman
Submitted On:
8 March 2017 - 4:26pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Yan Jin
Paper Code:
3066
Document Year:
2017
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Document Files

Jin_ICASSP_2017_Prez_3066.pdf

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[1] Yan Jin, David I Shuman, "An M-Channel Critically Sampled Graph Filter Bank", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/1711. Accessed: Dec. 17, 2017.
@article{1711-17,
url = {http://sigport.org/1711},
author = {Yan Jin; David I Shuman },
publisher = {IEEE SigPort},
title = {An M-Channel Critically Sampled Graph Filter Bank},
year = {2017} }
TY - EJOUR
T1 - An M-Channel Critically Sampled Graph Filter Bank
AU - Yan Jin; David I Shuman
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/1711
ER -
Yan Jin, David I Shuman. (2017). An M-Channel Critically Sampled Graph Filter Bank. IEEE SigPort. http://sigport.org/1711
Yan Jin, David I Shuman, 2017. An M-Channel Critically Sampled Graph Filter Bank. Available at: http://sigport.org/1711.
Yan Jin, David I Shuman. (2017). "An M-Channel Critically Sampled Graph Filter Bank." Web.
1. Yan Jin, David I Shuman. An M-Channel Critically Sampled Graph Filter Bank [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/1711