Title :
Cumulant-based approach to the harmonic retrieval problem
Author :
Swami, Ananthram ; Mendel, Jerry M.
Author_Institution :
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
A time-series consisting of sinusoids observed in additive i.i.d. noise or in additive colored Gaussian noise of unknown spectral density is considered. The number of harmonics, as well as their amplitudes and frequencies are determined using the one-dimensional diagonal slice of the fourth-order cumulant. Applications to the detection of cubic phase coupling are discussed
Keywords :
parameter estimation; signal processing; time series; additive colored Gaussian noise; additive i.i.d. noise; amplitudes; cubic phase coupling; fourth-order cumulant; frequencies; harmonic retrieval problem; one-dimensional diagonal slice; signal processing; sinusoids; time-series; Additive noise; Autocorrelation; Colored noise; Equations; Frequency estimation; Gaussian noise; Image processing; Polynomials; Signal processing; Symmetric matrices;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.197088
