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The use of unit norm tight measurement matrices for one-bit compressed sensing

Rusu, Cristian, González-Prelcic, Nuria and Heath, Robert W. (2016) The use of unit norm tight measurement matrices for one-bit compressed sensing. In: 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, Shanghai, pp. 4044-4048. ISBN 9781479999880

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Abstract

In this paper we analyze the mean squared error (MSE) for one-bit compressed sensing schemes based on measurement matrices that correspond to unit norm tight frames. We show that, as in the unquantized case, sensing with unit norm tight frames improves the MSE in the reconstruction of sparse vectors from one-bit measurements using l1 and thresholding algorithms. From our analytical and experimental results we conclude that when implementing one-bit compressed sensing schemes with fixed measurement matrices unit norm tight frames are the measurements of choice.

Item Type: Book Section
Subjects: Q Science > QA Mathematics > Electronic computers. Computer science
T Technology > T Technology (General) > Information Technology > Electronic computers. Computer science

Q Science > QA Mathematics > Computer software
T Technology > T Technology (General) > Information Technology > Computer software
Divisions: School of Computing > Staff Research and Publications
Depositing User: CAOIMHE NI MHAICIN
Date Deposited: 02 Jul 2018 12:35
Last Modified: 02 Jul 2018 12:35
URI: http://trap.ncirl.ie/id/eprint/3035

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