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A novel approach for frequency estimation of one-dimensional harmonics in multiplicative and additive noises is presented. To alleviate the resolution limitation of the traditional cumulant-based algorithms, group delay (GD) function is utilized. In this new approach, GD is applied to the 2nd order time-varying cumulants of harmonics in complex noises, called as the 2nd order CGD. For a given frequency...
The two-dimensional (2-D) harmonic retrieval method in multiplicative and additive noise based on 2-D chirp z-transform (CZT) is discussed in this paper. Unlike 2-D FFT, the 2-D CZT can improve the spectral resolution without increasing the size of the observation data and fine the spectra of 2-D harmonics in multiplicative and additive noise. Hence, the resolution and accuracy of the 2-D harmonic...
The problem of two-dimensional (2D) harmonics retrieval in the presence of correlative zero-mean multiplicative and additive noise was presented. We propose a genetic algorithm (GA)-based approach to this problem. Firstly, we defined a special 2D slice of sixth-order time-average moment spectrum, which has peaks value at the harmonics frequencies. Second, we converted the problem of harmonics retrieval...
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