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Compressive Sensing of Sparse Signals in the Hermite Transform Basis | IEEE Journals & Magazine | IEEE Xplore

Compressive Sensing of Sparse Signals in the Hermite Transform Basis


Abstract:

An analysis of the influence of missing samples in signals exhibiting sparsity in the Hermite transform domain is presented. Based on the statistical properties derived f...Show More

Abstract:

An analysis of the influence of missing samples in signals exhibiting sparsity in the Hermite transform domain is presented. Based on the statistical properties derived for the Hermite coefficients of randomly undersampled signal, the probability of success in detection of signal components support is determined and a threshold for the detection of signal components is provided. It is a crucial step in a simple noniterative and iterative matching pursuit (MP)-based algorithm for compressive sensing signal reconstruction.
Published in: IEEE Transactions on Aerospace and Electronic Systems ( Volume: 54, Issue: 2, April 2018)
Page(s): 950 - 967
Date of Publication: 01 November 2017

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