短時(shí)傅里葉變換和擬Wigner分布最佳窗函數(shù)
THE OPTIMAL WINDOW FUNCTIONS OF SHORT TIME FOURIER TRANSFORM AND PSEUDO-WIGNER DISTRIBUTION
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摘要: 短時(shí)傅里葉變換和擬Wigner分布是應(yīng)用最廣泛的兩種時(shí)頻分析工具,其窗函數(shù)的選擇是其應(yīng)用的前提,對(duì)此仍有待深入研究。本文詳細(xì)研究了其窗函數(shù)的選取準(zhǔn)則,給出了在最佳頻率分辨率意義上的最佳窗函數(shù)。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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