{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:11:17Z","timestamp":1760242277000,"version":"build-2065373602"},"reference-count":8,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,2]],"date-time":"2017-03-02T00:00:00Z","timestamp":1488412800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"SpanishMinistry of Economy and Competitiveness","award":["TEC2013-47141-C4-2-R","TEC2016-75067-C4-3-R"],"award-info":[{"award-number":["TEC2013-47141-C4-2-R","TEC2016-75067-C4-3-R"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/e19030095","type":"journal-article","created":{"date-parts":[[2017,3,2]],"date-time":"2017-03-02T10:31:17Z","timestamp":1488450677000},"page":"95","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["On the Complexity Reduction of Coding WSS Vector Processes by Using a Sequence of Block Circulant Matrices"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7423-5505","authenticated-orcid":false,"given":"Jes\u00fas","family":"Guti\u00e9rrez-Guti\u00e9rrez","sequence":"first","affiliation":[{"name":"CEIT, Manuel Lardiz\u00e1bal 15, 20018 San Sebasti\u00e1n, Spain"},{"name":"TECNUN, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marta","family":"Z\u00e1rraga-Rodr\u00edguez","sequence":"additional","affiliation":[{"name":"TECNUN, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9628-0681","authenticated-orcid":false,"given":"Xabier","family":"Insausti","sequence":"additional","affiliation":[{"name":"CEIT, Manuel Lardiz\u00e1bal 15, 20018 San Sebasti\u00e1n, Spain"},{"name":"TECNUN, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bj\u00f8rn","family":"Hogstad","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Norwegian University of Science and Technology, Teknologiveien 22, 2815 Gj\u00f8vik, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1561\/0100000006","article-title":"Toeplitz and circulant matrices: A review","volume":"2","author":"Gray","year":"2006","journal-title":"Found. 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