Abstract | ||
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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 |
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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 |
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Yan Zhang | 1 | 51 | 4.88 |
Shuxun Wang | 2 | 31 | 8.61 |