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Several examples are included to illustrate our construction.<\/jats:p>","DOI":"10.1137\/s0895479802412735","type":"journal-article","created":{"date-parts":[[2003,11,7]],"date-time":"2003-11-07T11:17:43Z","timestamp":1068203863000},"page":"517-531","source":"Crossref","is-referenced-by-count":35,"title":["Multivariate Filter Banks Having Matrix Factorizations"],"prefix":"10.1137","volume":"25","author":[{"given":"Qiuhui","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Charles A.","family":"Micchelli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Silong","family":"Peng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuesheng","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1090\/memo\/0453"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.4171\/rmi\/133"},{"key":"R3","unstructured":"A. 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