Harmonic-band Complex Wavelet Transform Audio Analysis and Synthesis

Abstract

A novel improvement to an existing wavelet representation is presented within the context of analysis and synthesis of harmonic audio signals. The approach replaces the discrete wavelet transform stage in the harmonic-band wavelet transform with the dual-tree complex wavelet transform. The harmonic-band wavelet transform lacks explicit phase information, is subject to considerable transform domain coefficient aliasing and its filters exhibit poor frequency selectivity and high sidelobe levels. Integration of the dual-tree complex wavelet transform mitigates all of these disadvantages and significantly improves the accuracy of signal synthesis where signals are synthesised through autoregressive analysis and linear prediction of transform domain coefficients.