
Discrete Signal Reconstruction by Sum of Absolute ValuesDiscrete Signal Reconstruction by Sum of Absolute ValuesAA1099314X 
"/Nagahara, Masaaki/"Nagahara, Masaaki
22
(
10
)
, pp.1575

1579 , 20150320 , IEEE
ISSN:10709908
NCID:AA1099314X
Description
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.
FullText
http://repository.kulib.kyotou.ac.jp/dspace/bitstream/2433/198575/1/LSP.2015.2414932.pdf