2-D single record harmonic retrieval using higher-order statistics

Author

Anderson, J.M.M.

Author_Institution

Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA

fYear

1993

fDate

1-3 Nov 1993

Firstpage

441

Abstract

Given a single record, we consider the problem of estimating the harmonics of a 2-D signal corrupted by Gaussian noise. Our method utilizes higher-order statistics (HOS), referred to as “mixed”-cumulants, which can be consistently estimated from a single record and are insensitive to colored Gaussian noise. In particular, we first estimate the frequencies in each dimension using an overdetermined Yule-Walker “type” approach based on 4th-order mixed-cumulants. Then, the 1-D frequencies are paired using a mixed-cumulant matching criterion. Simulations examining the performance of the proposed method are provided

Keywords

Gaussian noise; frequency estimation; harmonics; higher order statistics; signal processing; 1-D frequencies; 2-D single record harmonic retrieval; 4th-order mixed cumulants; colored Gaussian noise; frequency estimation; harmonics estimation; higher-order statistics; mixed cumulants; mixed-cumulant matching; overdetermined Yule-Walker approach; performance; simulations; Additive noise; Colored noise; Frequency estimation; Gaussian noise; Higher order statistics; Magnetic noise; Nuclear magnetic resonance; Radar; Sonar; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1993. 1993 Conference Record of The Twenty-Seventh Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-4120-7

Type

conf

DOI

10.1109/ACSSC.1993.342552

Filename

342552