Title
Harmonic retrieval in colored non-Gaussian noise using cumulants
Abstract
This paper addresses the harmonic retrieval problem in colored linear non-Gaussian noise of unknown covariance and unknown distribution. The assumptions made in the reported studies that the non-Gaussian noise is asymmetrically distributed and no quadratic phase coupling occurs are released. Using the elaborately defined fourth-order cumulants of the complex noisy observations, which are obtained by Hilbert transform, we can estimate either the correlation or the AR polynomial of the non-Gaussian noise via cumulant projections or ARMA modeling; then, the prewhitening or prefiltering techniques can be employed to retrieve harmonics, respectively. Simulation results are presented to demonstrate the effectiveness of the proposed algorithms
Year
DOI
Venue
2000
10.1109/78.827532
IEEE Transactions on Signal Processing
Keywords
Field
DocType
prefiltering,hilbert transform,signal processing,cumulant projections,noise,ar polynomial,autoregressive moving average processes,correlation theory,hilbert transforms,arma modeling,harmonic retrieval problem,unknown distribution,higher order statistics,complex noisy observation,linear non-gaussian noise,harmonic analysis,complex noisy observations,non-gaussian noise,fourth-order cumulants,prewhitening,unknown covariance,harmonic retrieval,colored linear nongaussian noise,polynomials,cumulant projection,arma model,sonar,noise cancellation,phase noise,gaussian noise,cumulant,colored noise
Colors of noise,Control theory,Higher-order statistics,Phase noise,Algorithm,Speech recognition,Covariance matrix,Active noise control,Estimation theory,Gaussian noise,Additive white Gaussian noise,Mathematics
Journal
Volume
Issue
ISSN
48
4
1053-587X
Citations 
PageRank 
References 
8
0.60
7
Authors
2
Name
Order
Citations
PageRank
Yan Zhang1514.88
Shuxun Wang2318.61