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SPARSE SIGNAL RECONSTRUCTION BASED ON SIGNAL DEPENDENT NON-UNIFORM SAMPLES

Sharma, Neeraj and Sreenivas, TV (2012) SPARSE SIGNAL RECONSTRUCTION BASED ON SIGNAL DEPENDENT NON-UNIFORM SAMPLES. In: IEEE International Conference on Acoustics, Speech and Signal Processing, MAR 25-30, 2012 , Kyoto, JAPAN, pp. 3453-3456.

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Official URL: http://dx.doi.org/10.1109/ICASSP.2012.6288659

Abstract

The classical approach to A/D conversion has been uniform sampling and we get perfect reconstruction for bandlimited signals by satisfying the Nyquist Sampling Theorem. We propose a non-uniform sampling scheme based on level crossing (LC) time information. We show stable reconstruction of bandpass signals with correct scale factor and hence a unique reconstruction from only the non-uniform time information. For reconstruction from the level crossings we make use of the sparse reconstruction based optimization by constraining the bandpass signal to be sparse in its frequency content. While overdetermined system of equations is resorted to in the literature we use an undetermined approach along with sparse reconstruction formulation. We could get a reconstruction SNR > 20dB and perfect support recovery with probability close to 1, in noise-less case and with lower probability in the noisy case. Random picking of LC from different levels over the same limited signal duration and for the same length of information, is seen to be advantageous for reconstruction.

Item Type: Conference Paper
Additional Information: Copyright for this article belongs to IEEE, NEW YORK
Keywords: Zero Crossing (ZC);Level Crossing (LC);Sparse Reconstruction;ADCs;Non-uniform Samples (NUS);Compressive Sensing (CS)
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: Francis Jayakanth
Date Deposited: 12 Feb 2013 11:01
Last Modified: 12 Feb 2013 11:01
URI: http://eprints.iisc.ac.in/id/eprint/45809

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