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基于再生核空间的语音信号的正交分解与实现算法

Keywords: 语音信号,再生核空间,正交分解,信号分析

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Abstract:

提出了一种在Hilbert空间W21a,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W21a,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W21a,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.

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