一种互相关法联合STFT的时间差测量算法  

A time difference measurement algorithm based on cross-correlation method and STFT

作　　者：尚俊娜[1] 肖江宁 SHANG Junna;XIAO Jiangning(School of Communication Engineering,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学通信工程学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2023年第1期15-19,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：江苏省政策引导类计划(国际科技合作)——“一带一路”创新合作资助项目(BZ2019006);浙江省教育厅科研资助项目(Y202044275)。

摘　　要：为了解决传统互相关法和二次相关法在低噪声情况下误差较大且具有±1个采样周期的理论误差问题,提出一种互相关法联合STFT的时间差测量算法。首先,使用传统互相关法对接收的2路信号的时间差进行粗测,将其中1路信号延迟相应的时间;然后,以某1路信号为基准,在一定时差范围内,对另1路信号进行短时傅里叶变换,通过不断比较基准信号和滑动信号的频域特性是否相同,来判断滑动后信号和基准信号的相对延时是否为0。实验结果表明,在低信噪比环境下,和二次相关法相比,新算法提高了时差测量的精度。In order to solve the problem that the traditional cross-correlation method and the quadratic correlation method have large errors in the case of low noise and have a theoretical error of±1 sampling period,a time difference measurement algorithm based on the cross-correlation method and STFT is proposed.Firstly,use the traditional cross-correlation method to roughly measure the time difference of the two received signals.Secondly,delay one signal for a corresponding time,and then use one signal as a reference to perform short-time Fourier Transform on the other signal within a certain time difference range.By constantly comparing whether the frequency domain characteristics of the reference signal and the sliding signal are the same,it is judged whether the relative delay between the sliding signal and the reference signal is equal to zero.Experimental results show that the new algorithm improves the accuracy of the time difference measurement compared with the quadratic correlation method in the low signal to noise ratio environment.

关 键 词：时间差测量算法 互相关法 短时傅里叶变换 窗函数 

分 类 号：TN911.7[电子电信—通信与信息系统]