A Committee Machine Approach for Compressed Sensing Signal Reconstruction

Ambat, Sooraj K and Chatterjee, Saikat and Hari, KVS (2014) A Committee Machine Approach for Compressed Sensing Signal Reconstruction. In: IEEE TRANSACTIONS ON SIGNAL PROCESSING, 62 (7). pp. 1705-1717.

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Abstract

Although many sparse recovery algorithms have been proposed recently in compressed sensing (CS), it is well known that the performance of any sparse recovery algorithm depends on many parameters like dimension of the sparse signal, level of sparsity, and measurement noise power. It has been observed that a satisfactory performance of the sparse recovery algorithms requires a minimum number of measurements. This minimum number is different for different algorithms. In many applications, the number of measurements is unlikely to meet this requirement and any scheme to improve performance with fewer measurements is of significant interest in CS. Empirically, it has also been observed that the performance of the sparse recovery algorithms also depends on the underlying statistical distribution of the nonzero elements of the signal, which may not be known a priori in practice. Interestingly, it can be observed that the performance degradation of the sparse recovery algorithms in these cases does not always imply a complete failure. In this paper, we study this scenario and show that by fusing the estimates of multiple sparse recovery algorithms, which work with different principles, we can improve the sparse signal recovery. We present the theoretical analysis to derive sufficient conditions for performance improvement of the proposed schemes. We demonstrate the advantage of the proposed methods through numerical simulations for both synthetic and real signals.

Item Type:	Journal Article
Publication:	IEEE TRANSACTIONS ON SIGNAL PROCESSING
Publisher:	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Additional Information:	Copyright for this article belongs to the IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, USA
Keywords:	Committee machine; compressed sensing; signal reconstruction; sparse recovery
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	12 May 2014 11:11
Last Modified:	12 May 2014 11:11
URI:	http://eprints.iisc.ac.in/id/eprint/48938

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