Optimal cyclic statistics for the estimation of harmonics in multiplicative and additive noise

Author

Ghogho, Mounir ; Garel, Bernard

Author_Institution

Nat. Polytech. Inst. of Toulouse, France

Volume

5

fYear

1997

Firstpage

3997

Abstract

The problem of detection and estimation of harmonics in multiplicative and additive noise is addressed. The problem may be solved using (i) the cyclic mean if the harmonic amplitude is not zero mean or (ii) the cyclic variance if the harmonic amplitude is zero mean. Solution (ii) may be used when the amplitude of the harmonic is not zero mean while solution (i) fails in the case of zero mean harmonic amplitudes. The paper answers the following questions: given a multiplicative and additive noisy environment, which solution is optimal? The paper determines thresholds on the coherent to non-coherent sine powers ratio which delimitate the regions of optimality of the two solutions. Comparison with higher-order cyclic statistics is presented. Gaussian as well as non-Gaussian noise sources are studied

Keywords

Gaussian noise; harmonic analysis; optimisation; parameter estimation; signal detection; statistical analysis; Gaussian noise source; additive noise; coherent to noncoherent sine powers ratio; cyclic mean; cyclic variance; harmonic amplitude; harmonic estimation; harmonic retrieval; harmonics detection; higher order cyclic statistics; multiplicative noise; nonGaussian noise source; optimal cyclic statistics; optimal solution; thresholds; zero mean harmonic amplitudes; Additive noise; Amplitude modulation; Data mining; Frequency estimation; Gaussian noise; Higher order statistics; Phase noise; Signal to noise ratio; Spectral analysis; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.604812

Filename

604812