Theory of orthonormal M-band wavelet packets |
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Authors: | Jiankang Zhang Zheng Bao Licheng Jiao |
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Affiliation: | (1) Key Lab. for Radar Signal Processing, Xidian University, 710071 Xi’an |
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Abstract: | In recent years, M-band orthonormal wavelet bases, due to their good characteristics, have attracted much attention. The ability of 2-band wavelet packets to decompose high frequency channels can be employed to improve the performance of wavelets for time-frequency localization, which makes more kinds of signals for analyzing by wavelets. Similar to the notations from the extension of 2-band wavelets to 2-band wavelet packets, the theoretic framework of M-band wavelet packets is developed, a generalization of the notations and properties of 2-band wavelet packets to that of M-band wavelet packets is made and the corresponding proofs are given. |
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Keywords: | 2-band wavelets M-band wavelets wavelet packets |
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