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Entropy 2017, 19(3), 95; doi:10.3390/e19030095

On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices

1
CEIT, Manuel Lardizábal 15, 20018 San Sebastián, Spain
2
TECNUN, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, Spain
3
Department of Mathematical Sciences, Norwegian University of Science and Technology, Teknologiveien 22, 2815 Gjøvik, Norway
*
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 20 December 2016 / Revised: 23 February 2017 / Accepted: 27 February 2017 / Published: 2 March 2017
(This article belongs to the Section Information Theory)
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Abstract

In the present paper, we obtain a result on the rate-distortion function (RDF) of wide sense stationary (WSS) vector processes that allows us to reduce the complexity of coding those processes. To achieve this result, we propose a sequence of block circulant matrices. In addition, we use the proposed sequence to reduce the complexity of filtering WSS vector processes. View Full-Text
Keywords: rate-distortion function; source coding; WSS vector process; block circulant matrix; filtering rate-distortion function; source coding; WSS vector process; block circulant matrix; filtering
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Gutiérrez-Gutiérrez, J.; Zárraga-Rodríguez, M.; Insausti, X.; Hogstad, B.O. On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices. Entropy 2017, 19, 95.

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