基于再生核空间的语音信号的正交分解与实现算法  

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

作　　者：章森[1] 刘磊[1] 刁麓弘[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2010年第3期394-400,共7页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(60572125)

摘　　要：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{φj*(x)}1n标准正交函数组,基于该函数组{φj*(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.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.

关 键 词：语音信号 再生核空间 正交分解 信号分析 实现算法 核函数 分解系数 正交化 小波变换 计算量 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]