MMSE‐based version of OMP for recovery of discrete‐valued sparse signals. Issue 1 (1st January 2016)

• Record Type: Journal Article
• Authors: Sparrer, S.; Fischer, R.F.H.
• Is Part Of: Electronics letters. Volume 52:Issue 1(2016)
• Page Start: 75
• Page End: 77
• Publication Date: 2016-01-01
• Subjects: signal reconstruction -- compressed sensing -- iterative methods -- least mean squares methods -- vectors; discrete‐valued sparse vectors reconstruction -- linear equations -- compressed sensing -- digital communications -- estimation step -- orthogonal matching pursuit algorithm -- OMP algorithm -- minimum mean‐squared error criterion -- MMSE criterion -- discrete‐valued sparse signals; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2015.0924
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : An enhanced algorithm for the reconstruction of discrete‐valued sparse vectors from an underdetermined system of linear equations under the presence of noise is presented. Knowledge from the field of compressed sensing and from digital communications is combined in optimising the estimation step in the orthogonal matching pursuit (OMP) algorithm according to the minimum mean‐squared error (MMSE) criterion. Thereby, a gain in performance of more than 1 dB is achieved compared with the conventional OMP.