学術雑誌論文 Discrete Signal Reconstruction by Sum of Absolute Values

Nagahara, Masaaki

22 ( 10 )  , pp.1575 - 1579 , 2015-03-20 , IEEE
ISSN:1070-9908
NII書誌ID(NCID):AA1099314X
内容記述
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.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/198575/1/LSP.2015.2414932.pdf

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