基于再生核空间的语音信号的正交分解与实现算法

提出了一种在Hilbert空间W₂¹[a,b]中对语音信号进行正交分解的方法及其实现算法.利用Hilbert空间W₂¹[a,b]的再生核函数构造一组{φ_j^*(x)}₁ⁿ标准正交函数组,基于该函数组{φ_j^*(x)}₁ⁿ对语音信号实施正交分解,再根据W₂¹[a,b]中再生核函数的性质给出了计算正交分解系数的快速算法.该方法将离散的问题影射到连续函数空间中进行处理,同时将Hilbert空间中的内积计算问题转化为函数在离散点的取值问题.实验结果表明,该方法可用于语音信号重建与特征抽取.

The Orthogonal Decomposition and Implementation Algorithm for Speech Signals Based on Reproducing Kernel Space

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.