Higher-order spectra for harmonics detection in nonlinear systems at presence of Gaussian noise
Janusz Smulko · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005
In this paper it is discussed the efficiency of harmonics detection in the precence of Gaussian noise by applying bispectrum function (higher-order spectrum). The proposed method is compared with the effectiveness obtained by the classical method that implements power spectrum density. The main results reported in this paper are, first, confirmation that the bispectrum function can reveal the harmonics overwelmed by Gaussian noise and, second, how this method is limited in practice. The details of the applied procedure are presented and discussed due to the random error of the bispectrum estimator and its method of calculation. The principles of the higher-order spectrum analysis are also pointed out.