Pitch shifting using a flexible wavelet family

Transposing music corresponds to moving a piece up or down in pitch by some amount while maintaining the relative structure of the harmonics. In theory, this operation can be realized by shifting the frequencies on a log-axis. However, in practice, realizing such a scheme requires a very redundant transform. In this paper, we propose a method for pitch-shifting that makes use of a wavelet family that offers flexibility in specifying the time-frequency sampling pattern. The proposed method utilizes different wavelet frames for analysis and synthesis. No processing on the wavelet coefficients is performed, which makes the method fast.