On the matrix completion problem for multivariate filter bank construction |
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| Authors: | Qiuhui Chen Charles A. Micchelli Yuesheng Xu |
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| Affiliation: | (1) Faculty of Mathematics and Computer Science, Hubei University, Wuhan, 430062, P.R. China;(2) Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, New York, 12222, USA;(3) Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, USA;(4) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, P.R. China |
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| Abstract: | We survey the main techniques for the construction of multivariate filter banks and present new results about special matrices of order four and eight suitable for their construction. Qiuhui Chen: Supported in part by NSFC under grant 10201034 and project-sponsored by SRF for ROCS, SEM. Charles A. Micchelli: Supported in part by the US National Science Foundation under grant CCR-0407476. Yuesheng Xu: All correspondence to this author. Supported in part by the US National Science Foundation under grant CCR-0407476, by the Natural Science Foundation of China under grant 10371122 and by the Chinese Academy of Sciences under the program “One Hundred Distinguished Chinese Young Scientists”. |
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| Keywords: | matrix completion multivariate filter banks |
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