Performance analysis of cumulant-based detection of non-Gaussian signals

被引:0
作者
Porat, B [1 ]
Friedlander, B [1 ]
机构
[1] UNIV CALIF DAVIS,DEPT ELECT & COMP ENGN,DAVIS,CA 95616
关键词
signal detection; cumulants; high-order moments; non-Gaussian ARMA processes;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider the problem of detecting a linear stationary non-Gaussian signal in additive Gaussian noise. Detection is assumed to be done in two steps: first a selected set of sample cumulants and/or moments of the data is computed; next a detection statistic based on these sample moments/cumulants is evaluated. Three types of detectors are considered: a likelihood ratio (optimal) detector, a weighted energy detector and a simple energy detector. The paper provides asymptotic performance analysis of these detectors for MA and ARMA signal and noise models. A simple example is worked out in detail.
引用
收藏
页码:99 / 111
页数:13
相关论文
共 15 条
[1]  
BRILLINGER DR, 1967, SPECTRAL ANAL TIME S, P189
[2]  
FRIEDLANDER B, IN PRESS HIGHER ORDE
[3]  
GARTH LM, 1993, P IEEE INT C AC SPEE, P208
[4]   SIGNAL-DETECTION AND CLASSIFICATION USING MATCHED FILTERING AND HIGHER-ORDER STATISTICS [J].
GIANNAKIS, GB ;
TSATSANIS, MK .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (07) :1284-1296
[5]  
GIANNAKIS GB, 1990, IEEE T INFORM THEORY, V38, P1277
[6]   DETECTING A TRANSIENT SIGNAL BY BISPECTRAL ANALYSIS [J].
HINICH, MJ .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (07) :1277-1283
[7]  
Horn R.A., 1991, TOPICS MATRIX ANAL
[8]  
Johnson N.L., 1970, DISTRIBUTIONS STAT C
[9]   SUBOPTIMAL DETECTION OF NON-GAUSSIAN SIGNALS BY 3RD-ORDER SPECTRAL-ANALYSIS [J].
KLETTER, D ;
MESSER, H .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (06) :901-909
[10]   TUTORIAL ON HIGHER-ORDER STATISTICS (SPECTRA) IN SIGNAL-PROCESSING AND SYSTEM-THEORY - THEORETICAL RESULTS AND SOME APPLICATIONS [J].
MENDEL, JM .
PROCEEDINGS OF THE IEEE, 1991, 79 (03) :278-305