Asymptotic performance analysis of direction-finding algorithmsbased on fourth-order cumulants
IEEE Transactions on Signal Processing
Fourth-order blind identification of underdetermined mixtures of sources (FOBIUM)
IEEE Transactions on Signal Processing
A higher-order statistics-based adaptive algorithm for lineenhancement
IEEE Transactions on Signal Processing
New results on employing cumulants for retrieving sinusoids incolored non-Gaussian noise
IEEE Transactions on Signal Processing
Cumulant-based approach to harmonic retrieval and related problems
IEEE Transactions on Signal Processing
On the virtual array concept for higher order array processing
IEEE Transactions on Signal Processing
Direction finding algorithms based on high-order statistics
IEEE Transactions on Signal Processing
Harmonic retrieval via state space and fourth-order cumulants
IEEE Transactions on Signal Processing
Harmonic retrieval using higher order statistics: a deterministicformulation
IEEE Transactions on Signal Processing
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The harmonic retrieval (HR) problem concerns the estimation of the frequencies in a sum of real or complex harmonics. Both correlation and cumulant-based approaches are used for this purpose. Cumulant-based HR algorithms use a single 1-D slice of the fourth-order cumulant that is estimated directly from the data. We present a new cumulant-based method for estimating a 1-D cumulant slice. It exploits an invariance property of the full fourth-order cumulant to increase the signal-to-noise ratio (SNR) of the harmonic signal. This procedure effectively suppresses both Gaussian and non-Gaussian noise. With simulations we illustrate that this new procedure enhances the performance of cumulant-based harmonic retrieval. It yields more accurate results than both the conventional cumulant- and correlation-based methods, especially when the signal is contaminated with coloured noise. It enables high-resolution harmonic retrieval using a limited number of available samples. It is therefore ideally suited for HR in short transients such as harmonic pulses, and is also relevant for direction-of-arrival (DOA) estimation.