Comparison and Analysis of the Performance on Measurement Matrix to Spectrum Estimation

DOI

10.2991/citcs.2012.213How to use a DOI?

Keywords

Compressed Sensing(CS); Measurement Matrix; Power Spectrum Estimation(PSD)

Abstract

In the spectrum estimation algorithm based on Compressed Sensing, the selection of measurement matrix has significant influence on whether can estimate the signal power spectrum with high precision. In the article, it briefly describes the basic principles of spectrum estimation algorithm and the common measurement matrixes. In addition, it presents a detailed comparison and analysis of the construction method, pros and cons among random measurement matrix, structured measurement matrix and deterministic measurement matrix. On this basis, aiming at single-tone, multi-tone and QPSK signals, the feasibility of six kinds of measurement matrixes used in power spectrum estimation based on compressed sensing were validated and compared the estimation performance by simulations. The simulation results show that Toeplitz matrix can obtain the minimum NMSE at the same compression ratio.

Copyright

© 2012, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Keqing Wang
AU  - Yong-gang Zhu
AU  - Jian-zhong Chen
AU  - Ying-tao Niu
PY  - 2012/11
DA  - 2012/11
TI  - Comparison and Analysis of the Performance on Measurement Matrix to Spectrum Estimation
BT  - Proceedings of the 2012 National Conference on Information Technology and Computer Science
PB  - Atlantis Press
SP  - 838
EP  - 841
SN  - 1951-6851
UR  - https://doi.org/10.2991/citcs.2012.213
DO  - 10.2991/citcs.2012.213
ID  - Wang2012/11
ER  -