短时傅里叶变换和拟Wigner分布最佳窗函数
THE OPTIMAL WINDOW FUNCTIONS OF SHORT TIME FOURIER TRANSFORM AND PSEUDO-WIGNER DISTRIBUTION
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摘要: 短时傅里叶变换和拟Wigner分布是应用最广泛的两种时频分析工具,其窗函数的选择是其应用的前提,对此仍有待深入研究。本文详细研究了其窗函数的选取准则,给出了在最佳频率分辨率意义上的最佳窗函数。Abstract: Short time Fourier transform and pseudo-Wigner distribution are two most useful tools in time-frequency analysis, the choice of window functions is the base for their applications, which require deep study. The criteria of window functions are discussed in detail, and the optimal length of window is obtained by means of optimal frequency resolutions.
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