Time-frequency Localization Characteristics of A Novel Class of Complex Wavelet
- Received Date: 2000-01-13
- Publish Date: 2001-02-15
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Key words:
- complex wavelet /
- time operator /
- time width /
- band width /
- localization characteristics
Abstract: In this paper, a novel class of complex wavelet is introduced. Time, frequency and time-frequency localization characteristics are investigated using time operator. Theoretical and numerical analysis shows that the new class of wavelet possesses excellent time-frequency localization. Many complex wavelets are constructed, which are approximate to the optimal time-frequency window function by changing two controlling parameters of the new wavelet.
Citation: | Tao Deyuan, Yuan Xiao, He Xiaohai. Time-frequency Localization Characteristics of A Novel Class of Complex Wavelet[J]. Journal of University of Electronic Science and Technology of China, 2001, 30(1): 21-25. |