语音信号相空间重构中时间延迟的选择方法

本文阐述了时间延迟对重构相空间轨迹的影响,介绍了选择时间延迟的主要方法,详细分析了基于相空间扩展准则的平均位移法选择时间延迟的原理.通过分析相空间扩展的几何意义,针对平均位移法存在的缺点,计算相空间矢量偏离相空间主对角线和辅对角线的距离相结合的新位移度量,并以此位移度量为依据确定最佳延迟时间.应用于语音信号相空间重构的实验表明,改进的平均位移法具有更明确的物理意义,可以更好地选择时间延迟.

Method to determine delay time of speech signal in reconstructed phase space

The influences of delay time to signal track in the reconstructed phase space are expatiated and several primary methods of choosing delay time are introduced in this paper.Furthermore,the principle of average displacement method based on phase space expansion is analyzed.An improved average displacement algorithm is proposed by analyzing the geometric meaning of phase space expanding.The new algorithm computes the delay time by calculating the displacement from two diagonals of the reconstructed phase space.The speech signal experiment can validate that the proposed method not only has the definite physical meaning,but also can attain the appropriate delay time.