Second-order statistics versus HOS for the estimation of harmonics in additive and multiplicative noise

Author

Ghogho, Mounir

Author_Institution

Nat. Polytech. Inst. of Toulouse, France

fYear

1997

fDate

21-23 Jul 1997

Firstpage

122

Lastpage

126

Abstract

Second-order statistics (SOS) have been widely used for the detection and estimation of coherent sinusoids in additive wide-band noise. This paper addresses the detection and estimation of harmonics which have been corrupted by both multiplicative and additive noise, HOS are useful in estimating harmonics of zero mean amplitude where SOS generally fail. The paper analyses and compares the performance of SOS and HOS when the harmonic has both coherent and non-coherent powers. We determine thresholds on the coherent-to-non-coherent sine wave power ratio which delimitate the regions of optimality of SOS and HOS. Gaussian as well as non-Gaussian noise sources are studied

Keywords

Gaussian noise; estimation theory; harmonic analysis; higher order statistics; signal detection; spectral analysis; statistical analysis; Gaussian noise; additive wide-band noise; coherent power; coherent sinusoids; coherent-to-non-coherent sine wave power ratio; detection; estimation; harmonics; multiplicative noise; nonGaussian noise; noncoherent power; performance; second-order statistics; zero mean amplitude; Additive noise; Amplitude estimation; Gaussian noise; Power system harmonics; Radar applications; Radar signal processing; Statistical distributions; Statistics; Wideband; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Higher-Order Statistics, 1997., Proceedings of the IEEE Signal Processing Workshop on

Conference_Location

Banff, Alta.

Print_ISBN

0-8186-8005-9

Type

conf

DOI

10.1109/HOST.1997.613500

Filename

613500