Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise

Zhang Kun-lei; Wang Shu-xun; Wang Fei

doi:10.3724/SP.J.1146.2006.00956

Volume 29 Issue 10

Jan. 2011

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Zhang Kun-lei, Wang Shu-xun, Wang Fei. Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise[J]. Journal of Electronics & Information Technology, 2007, 29(10): 2309-2312. doi: 10.3724/SP.J.1146.2006.00956

Citation:

Zhang Kun-lei, Wang Shu-xun, Wang Fei. Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise[J]. Journal of Electronics & Information Technology, 2007, 29(10): 2309-2312. doi: 10.3724/SP.J.1146.2006.00956

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Cumulant Projection Method for Two-Dimentional Harmonics Frequency Estimation in Colored Non-Gaussian Noise

doi: 10.3724/SP.J.1146.2006.00956

Zhang Kun-lei^{①;王树勋},
Wang Shu-xun,
Wang Fei

Received Date: 2006-06-30
Rev Recd Date: 2006-11-21
Publish Date: 2007-10-19

Abstract

Abstract

The problem of concern here was the two-dimensional (2-D) harmonic frequency estimation in colored non-Gaussian noise. The 2-D cumulant projection theorem of complex linear non-Gaussian process was presented. The noise auto-correlation estimation was obtained based on this theorem by skillfully constructing a high-order cumulant of the complex noisy harmonic. Then a generalized eigen-value problem was solved to prewhiten the noise space. Finally 2-D MUSIC was employed to retrieve the 2-D harmonic frequencies. This method can effectively extract frequencies from colored non-Gaussian noise, even though the noise is symmetrically-distributed or there exists quadratic phase coupling. Theory and algorithm are illustrated by simulation examples.

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References

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