一种基于滤波器组的时延估计方法及其系统

Time delay estimation method based on filter bank and system thereof

Abstract

本发明涉及一种基于滤波器组的时延估计的方法及其系统,利用滤波器组分别估计两路目标信号的互谱和相应的加权谱,以实现时延估计,1)采集两路目标信号的采样序列x<sub>1</sub>(n),x<sub>2</sub>(n);2)预先生成L×N维傅里叶矩阵F=[f<sub>0</sub>,f<sub>1</sub>,…,f<sub>N-1</sub>];3)分别计算协方差矩阵R<sub>11</sub>,R<sub>22</sub>和相应的各次逆矩阵R<sub>11</sub><sup>-1</sup>,R<sub>22</sub><sup>-1</sup>,以及互协方差矩阵R<sub>12</sub>;4)计算得到N个长度为L相应数据子段的滤波器组;5)计算序列x<sub>1</sub>(n),x<sub>2</sub>(n)的互谱P<sup>p</sup><sub>12</sub>(f<sub>l</sub>)=g<sup>H</sup><sub>1,l</sub>R<sub>12</sub>g<sub>2,l</sub>和加权函数谱W(f<sub>l</sub>);6)计算采用广义互谱相位法的时延估计。本方案中还可以进行数据分段和加窗,目的是保证数据序列的平稳性,提高估计的稳健度。本发明原理明确,易于工程实现;不仅适合窄带和功率谱平坦的情况,也适合功率谱有较大起伏的情况,在信道起伏导致功率谱不平坦的情况下,仍可实现稳健的时延估计。
The invention relates to a time delay estimation method based on a filter bank and a system thereof, utilizing the filter bank to respectively estimate a cross spectrum and a corresponding weighting spectrum of two paths of target signals so as to realize time delay estimation. The method comprises the following steps: 1). acquiring sample sequences x1(n) and x2(n) of the two paths of target signals; 2). generating an L*N dimensional Fourier matrix F=[f0,f1,...,f(n-1)] in advance; 3). respectively calculating covariance matrixes R11 and R22 and each corresponding inverse matrix R11<-1> and R22<-1> and a cross-variance matrix R12; 4). calculating to obtain N filter banks with the length of L corresponding data subsegment; 5). calculating the cross spectrum of the sequences of x1(n) and x2(n) according to a formula: P<p>12(f1)=g<H>(1,1)R12g(2,1), and the weighting function spectrum W(f1); 6). calculating time delay estimation adopting a generalized cross-spectrum phase method. The schemecan also carry out data segmentation and windowing so as to ensure the stationarity of data sequences and improve the estimation stability. The invention has definite principle and is easy to realizein projects and is not only suitable for conditions of narrowband and smooth power spectrum but also suitable for the condition that the power spectrum has bigger fluctuation. Under the condition ofunsmooth power spectrum caused by channel fluctuation, the invention still can realize stable time delay estimation.

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    CN-104237871-ADecember 24, 2014中国科学院声学研究所一种基于相位补偿的时延差估计方法
    CN-104237871-BJanuary 11, 2017中国科学院声学研究所一种基于相位补偿的时延差估计方法