Title :
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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on
Conference_Location :
Kyoto
Print_ISBN :
978-1-4673-0045-2
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2012.6288781
