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FROM TIME-FREQUENCY DISTRIBUTION TO CONTINUOUS WAVELET TRANSFORM |
Zhang Xiaoping; Tian Lisheng; Peng Yingning |
Department of Electronic Engineering,Tsinghua University, Beijing 100084 |
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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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Received: 21 January 1994
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