Title
Harmonic retrieval in colored non-Gaussian noise
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 through the Hilbert transform, we can either estimate the noise correlation nonparametrically via cumulant projections or obtain the AR polynomial of the non-Gaussian noise parametrically through ARMA modeling, then it is shown that the prewhitening or prefiltering techniques can be employed to retrieve harmonics respectively. Simulation results are presented to demonstrate the performance of the proposed algorithms
Year
DOI
Venue
1999
10.1109/ICASSP.1999.756292
ICASSP
Keywords
Field
DocType
algorithm performance,simulation results,hilbert transform,signal processing,cumulant projections,covariance,ar polynomial,noise correlation,nonparametric estimation,autoregressive moving average processes,hilbert transforms,arma modeling,prefiltering technique,prewhitening technique,unknown distribution,higher order statistics,complex noisy observation,linear non-gaussian noise,harmonic analysis,complex noisy observations,asymmetrically distributed noise,filtering theory,non-gaussian noise,fourth-order cumulants,noise correlation nonparametrically,non-gaussian noise parametrically,unknown covariance,harmonic retrieval,colored linear nongaussian noise,polynomials,cumulant projection,correlation methods,signal detection,arma model,gaussian noise,phase noise,noise cancellation,colored noise,linear systems,cumulant
Value noise,Colors of noise,Artificial intelligence,Active noise control,Pattern recognition,Higher-order statistics,Phase noise,Algorithm,Speech recognition,Gaussian noise,Additive white Gaussian noise,Mathematics,Gradient noise
Conference
Volume
ISSN
ISBN
3
1520-6149
0-7803-5041-3
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Yan Zhang1514.88
Shuxun Wang2318.61