The Bahadur efficiency for energy detection of stationary Gaussian processes

Author

Lee, Yuni ; Sung, Youngchul

Author_Institution

Dept. of Electr. Eng., KAIST, Daejeon, South Korea

fYear

2012

fDate

25-30 March 2012

Firstpage

3945

Lastpage

3948

Abstract

In this paper, the performance and optimization of energy detection of stationary Gaussian signals are considered. Based on the Bahadur asymptotic relative efficiency, the performance of energy detection relative to optimal detection is compared, and the optimal threshold for energy detection is derived. It is shown that the optimal threshold for optimal detection is not optimal for energy detection, and an integral equation for determining the optimal threshold for energy detection is provided. A numerical example of the detection of equi-correlated signals is provided, and the numerical result validates our asymptotic analysis in the finite sample regime.

Keywords

Gaussian processes; energy conservation; integral equations; optimisation; signal detection; Bahadur asymptotic relative efficiency; asymptotic analysis; energy detection; equicorrelated signal detection; finite sample regime; integral equation; optimal detection; optimal threshold; optimization; stationary Gaussian processing; stationary Gaussian signal; Bayesian methods; Correlation; Detectors; Error probability; Optimized production technology; Signal detection; Signal to noise ratio; Bahadur efficiency; Energy detection; asymptotic relative efficiency; error exponent; large deviation principles;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on

Conference_Location

Kyoto

ISSN

1520-6149

Print_ISBN

978-1-4673-0045-2

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2012.6288781

Filename

6288781