THE USE OF UNIT NORM TIGHT MEASUREMENT MATRICES FOR ONE-BIT COMPRESSED SENSING

被引：0

作者：

Rusu, Cristian ^{[1
]}

Gonzalez-Prelcic, Nuria ^{[1
]}

Heath, Robert W., Jr. ^{[2
]}

机构：

[1] Univ Vigo, Vigo, Pontevedra, Spain

[2] Univ Texas Austin, Austin, TX 78712 USA

来源：

2016 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING PROCEEDINGS | 2016年

关键词：

one-bit compressed sensing; unit norm tight frames;

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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 l(1) 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.

引用

页码：4044 / 4048

页数：5

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[2]

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[3]

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[4]

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