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Graph filter banks with M-channels, maximal decimation, and perfect reconstruction

Teke, Oguzhan and Vaidyanathan, P. P. (2016) Graph filter banks with M-channels, maximal decimation, and perfect reconstruction. In: 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE , Piscataway, NJ, pp. 4089-4093. ISBN 978-1-4799-9988-0. https://resolver.caltech.edu/CaltechAUTHORS:20160524-075304286

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ICASSP.2016.7472446 DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7472446PublisherArticle
ORCID:
AuthorORCID
Teke, Oguzhan0000-0002-1131-5206
Additional Information:© 2016 IEEE. This work was supported in parts by the ONR grants N00014-11-1-0676 and N00014-15-1-2118, and the California Institute of Technology.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-11-1-0676
Office of Naval Research (ONR)N00014-15-1-2118
CaltechUNSPECIFIED
Subject Keywords:Multirate processing of graph signals, aliasing on graphs, bandlimited graph signals, PR filterbanks on graphs
Record Number:CaltechAUTHORS:20160524-075304286
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160524-075304286
Official Citation:O. Teke and P. P. Vaidyanathan, "Graph filter banks with M-channels, maximal decimation, and perfect reconstruction," 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Shanghai, China, 2016, pp. 4089-4093. doi: 10.1109/ICASSP.2016.7472446
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67282
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 May 2016 18:45
Last Modified:03 Oct 2019 10:04

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