Wavelet-based Approach for Frequency Estimation in Complex Noises

This paper discusses the problem of frequency estimation of one-dimensional harmonics in multiplicative and additive noises. To alleviate the resolution limitation of the traditional Fourier-based algorithms, we introduce a novel wavelet based approach to harmonic retrieval. A wavelet mother function with tunable parameter is constructed by modulating a window function, which makes it easier to get the good performance for the given harmonic retrieval problems by tuning the parameter. Simulations performed on synthetic signals confirmed the gain in performance of the proposed method