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タイトル: | Discrete Signal Reconstruction by Sum of Absolute Values |
著者: | Nagahara, Masaaki |
著者名の別形: | 永原, 正章 |
キーワード: | Discrete signal reconstruction sum of absolute values digital signals compressed sensing sparse optimization |
発行日: | 20-Mar-2015 |
出版者: | IEEE |
誌名: | IEEE Signal Processing Letters |
巻: | 22 |
号: | 10 |
開始ページ: | 1575 |
終了ページ: | 1579 |
抄録: | In this letter, we consider a problem of reconstructing an unknown discrete signal taking values in a finite alphabet from incomplete linear measurements. The difficulty of this problem is that the computational complexity of the reconstruction is exponential as it is. To overcome this difficulty, we extend the idea of compressed sensing, and propose to solve the problem by minimizing the sum of weighted absolute values. We assume that the probability distribution defined on an alphabet is known, and formulate the reconstruction problem as linear programming. Examples are shown to illustrate that the proposed method is effective. |
著作権等: | © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/198575 |
DOI(出版社版): | 10.1109/LSP.2015.2414932 |
出現コレクション: | 学術雑誌掲載論文等 |
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