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

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

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 propose...

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Main Authors: Jesús Gutiérrez-Gutiérrez, Marta Zárraga-Rodríguez, Xabier Insausti, Bjørn O. Hogstad
Format: Article
Language:English
Published: MDPI AG 2017-03-01
Series:Entropy
Subjects:
rate-distortion function
source coding
WSS vector process
block circulant matrix
filtering
Online Access:http://www.mdpi.com/1099-4300/19/3/95
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spelling doaj-63952b1595254d86b5ed73506b10a9502020-11-24T23:28:49ZengMDPI AGEntropy1099-43002017-03-011939510.3390/e19030095e19030095On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant MatricesJesús Gutiérrez-Gutiérrez0Marta Zárraga-Rodríguez1Xabier Insausti2Bjørn O. Hogstad3CEIT, Manuel Lardizábal 15, 20018 San Sebastián, SpainTECNUN, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, SpainCEIT, Manuel Lardizábal 15, 20018 San Sebastián, SpainDepartment of Mathematical Sciences, Norwegian University of Science and Technology, Teknologiveien 22, 2815 Gjøvik, NorwayIn 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.http://www.mdpi.com/1099-4300/19/3/95rate-distortion functionsource codingWSS vector processblock circulant matrixfiltering
collection DOAJ
language English
format Article
sources DOAJ
author Jesús Gutiérrez-Gutiérrez
Marta Zárraga-Rodríguez
Xabier Insausti
Bjørn O. Hogstad
spellingShingle Jesús Gutiérrez-Gutiérrez
Marta Zárraga-Rodríguez
Xabier Insausti
Bjørn O. Hogstad
On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
Entropy
rate-distortion function
source coding
WSS vector process
block circulant matrix
filtering
author_facet Jesús Gutiérrez-Gutiérrez
Marta Zárraga-Rodríguez
Xabier Insausti
Bjørn O. Hogstad
author_sort Jesús Gutiérrez-Gutiérrez
title On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
title_short On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
title_full On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
title_fullStr On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
title_full_unstemmed On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices
title_sort on the complexity reduction of coding wss vector processes by using a sequence of block circulant matrices
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2017-03-01
description 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.
topic rate-distortion function
source coding
WSS vector process
block circulant matrix
filtering
url http://www.mdpi.com/1099-4300/19/3/95
work_keys_str_mv AT jesusgutierrezgutierrez onthecomplexityreductionofcodingwssvectorprocessesbyusingasequenceofblockcirculantmatrices
AT martazarragarodriguez onthecomplexityreductionofcodingwssvectorprocessesbyusingasequenceofblockcirculantmatrices
AT xabierinsausti onthecomplexityreductionofcodingwssvectorprocessesbyusingasequenceofblockcirculantmatrices
AT bjørnohogstad onthecomplexityreductionofcodingwssvectorprocessesbyusingasequenceofblockcirculantmatrices
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