Title :
Non-parametric detection of a class of cyclo-stationary signals in stationary colored non-Gaussian noise using non-stationary higher order spectra
Author :
Wilson, Gary R. ; Baugh, Kevin
Author_Institution :
Appl. Res. Labs., Texas Univ., Austin, TX, USA
Abstract :
This paper considers specifically the sum of coherently related narrowband signals of unknown frequencies and amplitudes. It employs the method of non-stationary higher order spectra (NSHOS) and develops a detection statistic based on the non-stationary bispectrum. Within the domain that excludes the stationary HOS, the NSHOS detection statistics as asymptotically zero for any type of stationary colored Gaussian or non-Gaussian noise, while within the domain of the stationary HOS they are zero for any type of stationary colored Gaussian or symmetric non-Gaussian noise. The detection performance is compared analytically and experimentally with the more traditional power spectrum method based on a periodogram detection statistic for Gaussian and nonGaussian noise
Keywords :
nonparametric statistics; random noise; signal detection; spectral analysis; statistical analysis; bispectrum; coherently related narrowband signals; cyclostationary signals; detection performance; detection statistic; nonparametric detection; nonstationary higher-order spectra; stationary coloured non Gaussian noise; Colored noise; Detectors; Discrete Fourier transforms; Filtering theory; Fourier transforms; Frequency; Gaussian noise; Higher order statistics; Narrowband; Noise level;
Conference_Titel :
Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0508-6
DOI :
10.1109/SSAP.1992.246814
