Random circulant orthogonal matrix based Analog Compressed Sensing

Yang, X; Guo, YJ; Cui, Q; Tao, X; Huang, X

Random circulant orthogonal matrix based Analog Compressed Sensing

Yang, X Guo, YJ

Cui, Q Tao, X Huang, X

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Publication Type:: Conference Proceeding
Citation:: GLOBECOM - IEEE Global Telecommunications Conference, 2012, pp. 3605 - 3609
Issue Date:: 2012-12-01

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Field	Value	Language
dc.contributor.author	Yang, X	en_US
dc.contributor.author	Guo, YJ https://orcid.org/0000-0001-6008-9682	en_US
dc.contributor.author	Cui, Q	en_US
dc.contributor.author	Tao, X	en_US
dc.contributor.author	Huang, X https://orcid.org/0000-0001-6869-5732	en_US
dc.date.issued	2012-12-01	en_US
dc.identifier.citation	GLOBECOM - IEEE Global Telecommunications Conference, 2012, pp. 3605 - 3609	en_US
dc.identifier.isbn	9781467309219	en_US
dc.identifier.uri	http://hdl.handle.net/10453/119679
dc.description.abstract	Analog Compressed Sensing (CS) has attracted considerable research interest in sampling area. One of the promising analog CS technique is the recently proposed Modulated Wideband Converter (MWC). However, MWC has a very high hardware complexity due to its parallel structure. To reduce the hardware complexity of MWC, this paper proposes a novel Random Circulant Orthogonal Matrix based Analog Compressed Sensing (RCOM-ACS) scheme. By circularly shifting the periodic mixing function, the RCOM-ACS scheme reduces the number of physical parallel channels from m to 1 at the cost of longer processing time, where m is in the order of several dozen to several hundred in MWC. It is proved that the m×M measurement matrix of RCOM-ACS scheme satisfies the Restricted Isometry Property (RIP) condition with probability 1-M -O(1) when m = O(rlog2Mlog3r), where M is the length of the periodic mixing function, r denotes the sparsity of the input signal. Furthermore, to make a good tradeoff between processing time and hardware complexity, a short processing time RCOM-ACS scheme is proposed in this paper. Simulation results show that, the proposed schemes outperform MWC in terms of recovery performance. © 2012 IEEE.	en_US
dc.relation.ispartof	GLOBECOM - IEEE Global Telecommunications Conference	en_US
dc.relation.isbasedon	10.1109/GLOCOM.2012.6503675	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Random circulant orthogonal matrix based Analog Compressed Sensing	en_US
dc.type	Conference Proceeding
utslib.for	0906 Electrical and Electronic Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
utslib.copyright.status	closed_access	*
pubs.publication-status	Published	en_US

Abstract:

Analog Compressed Sensing (CS) has attracted considerable research interest in sampling area. One of the promising analog CS technique is the recently proposed Modulated Wideband Converter (MWC). However, MWC has a very high hardware complexity due to its parallel structure. To reduce the hardware complexity of MWC, this paper proposes a novel Random Circulant Orthogonal Matrix based Analog Compressed Sensing (RCOM-ACS) scheme. By circularly shifting the periodic mixing function, the RCOM-ACS scheme reduces the number of physical parallel channels from m to 1 at the cost of longer processing time, where m is in the order of several dozen to several hundred in MWC. It is proved that the m×M measurement matrix of RCOM-ACS scheme satisfies the Restricted Isometry Property (RIP) condition with probability 1-M -O(1) when m = O(rlog2Mlog3r), where M is the length of the periodic mixing function, r denotes the sparsity of the input signal. Furthermore, to make a good tradeoff between processing time and hardware complexity, a short processing time RCOM-ACS scheme is proposed in this paper. Simulation results show that, the proposed schemes outperform MWC in terms of recovery performance. © 2012 IEEE.

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http://hdl.handle.net/10453/119679