Higher-order spectra for harmonics detection in nonlinear systems at presence of Gaussian noise

Janusz M. Smulko

doi:10.1117/12.609601

23 May 2005 Higher-order spectra for harmonics detection in nonlinear systems at presence of Gaussian noise

Janusz M. Smulko

Proceedings Volume 5846, Noise and Information in Nanoelectronics, Sensors, and Standards III; (2005) https://doi.org/10.1117/12.609601
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

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.

Citation Download Citation

Janusz M. Smulko "Higher-order spectra for harmonics detection in nonlinear systems at presence of Gaussian noise", Proc. SPIE 5846, Noise and Information in Nanoelectronics, Sensors, and Standards III, (23 May 2005); https://doi.org/10.1117/12.609601

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