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Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction

Abstract: 

Signal processing on graphs finds applications in many areas. Motivated by recent developments, this paper studies the concept of spectrum folding (aliasing) for graph signals under the downsample-then-upsample operation. In this development, we use a special eigenvector structure that is unique to the adjacency matrix of M-block cyclic matrices. We then introduce M-channel maximally decimated filter banks. Manipulating the characteristics of the aliasing effect, we construct polynomial filter banks with perfect reconstruction property. Later we describe how we can remove the eigenvector condition by using a generalized decimator. In this study graphs are assumed to be general with a possibly non-symmetric and complex adjacency matrix.

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Paper Details

Authors:
Oguzhan Teke, Palghat P. Vaidyanathan
Submitted On:
31 March 2016 - 6:00pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Oguzhan Teke
Paper Code:
SPTM-L6.1
Document Year:
2016
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mchannel_graph_icassp_presentation_noTime.pdf

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[1] Oguzhan Teke, Palghat P. Vaidyanathan, "Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/1077. Accessed: Dec. 18, 2017.
@article{1077-16,
url = {http://sigport.org/1077},
author = {Oguzhan Teke; Palghat P. Vaidyanathan },
publisher = {IEEE SigPort},
title = {Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction},
year = {2016} }
TY - EJOUR
T1 - Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction
AU - Oguzhan Teke; Palghat P. Vaidyanathan
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/1077
ER -
Oguzhan Teke, Palghat P. Vaidyanathan. (2016). Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction. IEEE SigPort. http://sigport.org/1077
Oguzhan Teke, Palghat P. Vaidyanathan, 2016. Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction. Available at: http://sigport.org/1077.
Oguzhan Teke, Palghat P. Vaidyanathan. (2016). "Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction." Web.
1. Oguzhan Teke, Palghat P. Vaidyanathan. Graph Filter Banks With M-Channels, Maximal Decimation, and Perfect Reconstruction [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/1077