Harmonic Wavelet Analysis of Sound

Harmonic Wavelet Analysis of Sound

Harmonic-band Wavelet Coefficient Modeling for Pseudo-periodic Sound Processing

In previous papers [1], [2] we introduced a model for pseudo-periodic sounds based on Wornell results [3] concerning the synthesis of 1/f noise by means of the Wavelet transform (WT). This method provided a good model for representing not only the harmonic part of reallife sounds but also the stochastic components. The latter are of fundamental importance from a perceptual point of view since t...

Wavelet analysis as a p – adic harmonic analysis

Wavelet analysis as a p–adic harmonic analysis Abstract New orthonormal basis of eigenfunctions for the Vladimirov operator of p–adic fractional derivation is constructed. The map of p–adic numbers onto real numbers is considered. This map (for p = 2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L 2 (R) generated fro...

A unified theoretical harmonic analysis approach to the cyclic wavelet transform (CWT) for periodic signals of prime dimensions

The article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (CWT) of prime dimensional periodic signals.

Heart Sound Analysis comparing Wavelet and Autoregressive Techniques

Three different types of wavelets (Morlet, Bessel filter and Chirp) and four different types of autoregressive modelling techniques (Burg, Forward, Backward and Modified Covariance) are considered. A straightforward algorithm is suggested for all wavelet calculations. A modification is made to the standard autoregressive technique to reduce the dominance of certain peaks. The heart sounds of a ...