Statistical Properties of SNR for Compressed Measurements

Yulong Gao; Yanping Chen; Linxiao Su

doi:10.1155/2016/3406731

Statistical Properties of SNR for Compressed Measurements

Yulong Gao^*
, Yanping Chen
, Linxiao Su

^*Corresponding author for this work

School of Electronics and Information Engineering

Harbin University of Commerce
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Some basic statistical properties of the compressed measurements are investigated. It is well known that the statistical properties are a foundation for analyzing the performance of signal detection and the applications of compressed sensing in communication signal processing. Firstly, we discuss the statistical properties of the compressed signal, the compressed noise, and their corresponding energy. And then, the statistical characteristics of SNR of the compressed measurements are calculated, including the mean and the variance. Finally, probability density function and cumulative distribution function of SNR are derived for the cases of the Gamma distribution and the Gaussian distribution. Numerical simulation results demonstrate the correctness of the theoretical analysis.

Original language	English
Article number	3406731
Journal	Mathematical Problems in Engineering
Volume	2016
DOIs	https://doi.org/10.1155/2016/3406731
State	Published - 2016

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title = "Statistical Properties of SNR for Compressed Measurements",

abstract = "Some basic statistical properties of the compressed measurements are investigated. It is well known that the statistical properties are a foundation for analyzing the performance of signal detection and the applications of compressed sensing in communication signal processing. Firstly, we discuss the statistical properties of the compressed signal, the compressed noise, and their corresponding energy. And then, the statistical characteristics of SNR of the compressed measurements are calculated, including the mean and the variance. Finally, probability density function and cumulative distribution function of SNR are derived for the cases of the Gamma distribution and the Gaussian distribution. Numerical simulation results demonstrate the correctness of the theoretical analysis.",

author = "Yulong Gao and Yanping Chen and Linxiao Su",

note = "Publisher Copyright: {\textcopyright} 2016 Yulong Gao et al.",

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AB - Some basic statistical properties of the compressed measurements are investigated. It is well known that the statistical properties are a foundation for analyzing the performance of signal detection and the applications of compressed sensing in communication signal processing. Firstly, we discuss the statistical properties of the compressed signal, the compressed noise, and their corresponding energy. And then, the statistical characteristics of SNR of the compressed measurements are calculated, including the mean and the variance. Finally, probability density function and cumulative distribution function of SNR are derived for the cases of the Gamma distribution and the Gaussian distribution. Numerical simulation results demonstrate the correctness of the theoretical analysis.

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DO - 10.1155/2016/3406731

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Statistical Properties of SNR for Compressed Measurements

Abstract

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