The Orthogonal Decomposition and Implementation Algorithm for Speech Signals Based on Reproducing Kernel Space
Luhong Diao · Journal of Beijing University of Technology · 2010
An new orthogonal decomposition method and implementation algorithm for speech signals is proposed in this paper.From the reproducing kernel function of Hilbert space W12,a set of normalized orthogonal functions {φ*j(x)}n1 are generated.Based on {φ*j(x)}n1,speech signals can be orthogonally decomposed,and the orthogonal decomposition coefficients can be computed by a fast algorithm based on the properties of reproducing kernel function.This method transforms the discrete problem to continuous function space and convert the inner product computation problem in Hilbert space into function evaluation problem in some discrete points.The experiment results indicate that it can be applied to the reconstruction and feature extraction of speech signals.