Analysis synthesis model for transient impact sounds by stationary wavelet transform and singular value decomposition

We encounter a wide range of sounds everyday which are harmonic, transient or a mixture of both. A number of models have been developed in recent years to synthesise harmonic sounds but these models do not perform effectively on transient sounds because of the sharp attack and decay part of the transient sounds. This paper presents a new technique for analysis-based synthesis of transient sounds by adding orthogonal bases of frequency bands. The proposed technique consists of four stages. First, the sound samples taken from a group of sounds are decomposed into frequency bands using the stationary wavelet transform (SWT). A set of orthonormal bases for each frequency band is then computed using singular value decomposition (SVD). The model parameters for all sounds present in the group are derived from the orthogonal basis and their weights. Finally, the required sound is synthesised by adding the weighted orthogonal basis for each frequency band and then taking the inverse stationary wavelet transform (ISWT). The proposed technique provides a generic synthesis approach to synthesise a diverse transient set of sounds using a single analysis-synthesis model