Band Decomposition of Voice Signals Using Wavelets Defined from Fractional B-spline Functions

The B-spline functions constitute a good mathematical background for defining new wavelets. The fractional B-splines provide the only wavelets that have an explicit analytical form, making the mathematical manipulations easier. This paper proposes a decomposition of the voice signal into hierarchical octave bands, by using a fractional B-spline based wavelet decomposition. The proposed decomposition scheme takes into account the location of the formants, a particular feature of the voice signals. Each band is represented by its mean energy, and the resulting energy representation is tested for singing voice identification. Discriminant analysis is used, and the testing is done both on known and unknown data