Abstract
We propose a niche Genetic algorithm (GA) for the two-dimensional (2D) harmonic retrieval in the presence of correlative zero-mean, multiplicative, and additive noise. Firstly, we introduce a 2D fourth-order time-average moment spectrum which has extremum values at the harmonic frequencies. On this basis, the problem of harmonic retrieval is treated as a problem of finding the extremum values for which the niche GA is resorted. Utilizing the global searching ability of the GA, this method can improve the frequency estimation performance. The effectiveness of the proposed algorithm is demonstrated through computer simulations.
Highlights
IntroductionThe amplitudes of the received harmonic signals are random since they are usually corrupted by multiplicative noise
Under certain circumstances, the amplitudes of the received harmonic signals are random since they are usually corrupted by multiplicative noise
We propose a niche Genetic algorithm (GA) for the two-dimensional (2D) harmonic retrieval in the presence of correlative zero-mean, multiplicative, and additive noise
Summary
The amplitudes of the received harmonic signals are random since they are usually corrupted by multiplicative noise. Techniques based on cyclic statistics have been proposed to estimate the 2D harmonic frequencies in multiplicative noise [9, 10] These methods are based on the assumption that multiplicative and additive noises are mutually independent and mixing. In correlative multiplicative and additive noise, Wu and Li [11] has studied the problem of the quadratic nonlinear coupling of 2D harmonics based on 2D third-order time-average moment spectrum. Another two new 2D cyclic statistics are introduced to estimate the harmonic frequencies in [12, 13], respectively. The special fourth-order time-average moment spectrum is defined as
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