Abstract:In recent years, M-band orthonormal wavelet bases, due to their good characteristics, have attracted attention. The ability of 2-band wavelet packets to decompose high frequency channels can be employed to improve the properpty of wavelet for time-frequency localization, which makes more kinds of signals for analyzing by wavelet. Similar to the notations from the extention of 2-band wavelets to 2-band wavelet packets, the theory 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.