New results on employing cumulants for retrieving sinusoids in colored non-Gaussian noise

A novel analysis is presented, which shows that signals consisting of sinusoids plus non-Gaussian noise have a new signal-to-noise ratio (NSNR) associated with their fourth-order cumulants. This NSNR is a multiple of the original SNR when the noise is colored and the original SNR is equal to or grea...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2000-07, Vol.48 (7), p.2164-2168
Main Author: Gharieb, R.R.
Format: Article
Language:English
Subjects:
Additive noise
Applied sciences
Colored noise
Computer simulation
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Frequency estimation
Gaussian
Gaussian noise
Geophysical signal processing
Handling
Higher order statistics
Information, signal and communications theory
Materials handling
Noise
Non-Gaussian
Radar signal processing
Signal analysis
Signal and communications theory
Signal processing
Signal to noise ratio
Signal, noise
Telecommunications and information theory
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Summary:A novel analysis is presented, which shows that signals consisting of sinusoids plus non-Gaussian noise have a new signal-to-noise ratio (NSNR) associated with their fourth-order cumulants. This NSNR is a multiple of the original SNR when the noise is colored and the original SNR is equal to or greater than one. Therefore, employing cumulants for harmonic retrieval problems is now an approach capable of handling not only Gaussian noise but also colored non-Gaussian noise. The presented analysis is verified via computer simulations.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.847801