Algorithms for the Iterative Estimation of Discrete-Valued Sparse Vectors

Conference: SCC 2017 - 11th International ITG Conference on Systems, Communications and Coding
02/06/2017 - 02/09/2017 at Hamburg, Germany

Proceedings: ITG-Fb. 268: SCC 2017

Pages: 6Language: englishTyp: PDF

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Sparrer, Susanne; Fischer, Robert F. H. (Institute of Communications Engineering, Ulm University, 89081 Ulm, Germany)

In Compressed Sensing, a real-valued sparse vector has to be estimated from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. For the estimation of these discrete-valued vectors, matched algorithms are required which take the additional knowledge of the discrete nature into account. In this paper, the estimation problem is treated from a communications engineering point of view. A powerful new algorithm incorporating techniques known from digital communications and information theory is derived. For comparison, Turbo Compressed Sensing is adapted to the discrete setup and a simplified and generalized notation is presented. The performance of the algorithms is covered by numerical simulations.