從時頻分布到連續(xù)子波變換

張曉平; 田立生; 彭應寧

從時頻分布到連續(xù)子波變換

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出版歷程
- 收稿日期: 1994-01-21
- 修回日期: 1994-07-01
- 刊出日期: 1994-11-19

FROM TIME-FREQUENCY DISTRIBUTION TO CONTINUOUS WAVELET TRANSFORM

摘要

摘要: 本文從時頻分布的物理概念出發(fā),首先指出了各種時頻分析方法的內在聯(lián)系和差別,然后著重從連續(xù)子波變換在信號分析中的物理意義來討論它的數(shù)學表示和特有性質,并和短時傅里葉變換作了比較。接著對連續(xù)子波變換在時間尺度平面上的離散化的概念作了扼要描述。最后,基于文中敘述的物理概念,對子波變換的應用和進展作了簡要評述。
- 時頻分布; 短時傅里葉變換; 子波變換
Abstract: Based on the concept of time-frequency distribution, the relationship and differences among various time-frequency methods are described. Then the mathematical expression of continuous wavelet transform and its significant meaning in signal processing are discussed. Compared with short-time Fourier transform the special characteristics of continuous wavelet transform are shown. The concept of-the discrete case of continuous wavelet transform in time-scale plane is introduced. Finally, some applications and advances of wavelet transforms are reviewed based on concepts proposed in this paper.

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