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Cross-terms reduction in the Wigner-Ville distribution using tunable-Q. wavelet transform

机译:使用可调Q减少Wigner-Ville分布中的交叉项。小波变换

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摘要

This paper proposes a new method to reduce cross-terms in the Wigner-Ville distribution (WVD) using tunable-Q wavelet transform (TQWT). The suggested method exploits the advantages of sub-band filtering of filter-bank and also retaining the time-resolution property of the wavelet decomposition to achieve signal decomposition. Signal components in sub-bands obtained using TQWT are further separated in time-domain using time-domain energy distribution to eliminate inner-interference terms. Simulation results for multi-component non-stationary signals are presented in order to show the efficacy of the suggested method for cross-terms reduction in WVD. Results are compared with the existing methods based on the Fourier-Bessel (FB) series expansion and filter-bank based cross-terms reduction methods in WVD, in order to show the advantages over the compared methods.
机译:本文提出了一种使用可调Q小波变换(TQWT)减少Wigner-Ville分布(WVD)中交叉项的新方法。所提出的方法利用了滤波器组的子带滤波的优点,并且保留了小波分解的时间分辨率特性以实现信号分解。使用时域能量分布在时域中进一步分离使用TQWT获得的子带中的信号分量,以消除内部干扰项。提出了多分量非平稳信号的仿真结果,以显示所建议的方法在WVD中减少交叉项的功效。将结果与基于WVD中基于Fourier-Bessel(FB)级数展开和基于滤波器组的交叉项约简方法的现有方法进行比较,以显示与比较方法相比的优势。

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