基于三次相关的时延估计算法
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摘要
针对无源定位中时延估计在低信噪比时估值准确度低的问题,在研究传统互相关法及自相关性质的基础上,提出了一种基于三次相关的时延估计算法.算法以传统互相关法为基础,利用两路输入信号的自相关功率谱函数与传统互相关功率谱函数做互相关,使三次相关功率谱函数中信号频点处的幅值呈现指数倍增长,进而弱化与其他细小尖峰幅值间的关系,达到时延估计取值所需要的互相关功率谱函数的理想效果.实验结果表明,与传统互相关及二次相关法相比,基于三次相关的时延估计算法在信噪比较低的条件下可以得到更为准确的时延值.
Aiming at the problem that the estimation accuracy of time delay estimation in passive positioning is low at low SNR,a time-delay estimation algorithm based on third correlation is proposed on the basis of the research of traditional cross-correlation method and auto-correlation properties.The algorithm is based on the traditional cross-correlation method and uses the auto-correlation power spectrum function of the two input signals to cross-correlate with the traditional cross-correlation power spectrum function,which exhibits an exponential multiplication of the amplitude at the signal frequency points in the third correlation power spectral density functions,thereby the relationship with other fine peak amplitudes has been weakened,and finally achieved the ideal effect of the cross-correlation power spectrum function required by the time delay estimation value.The experimental simulation results show that the time-delay estimation algorithm based on the third correlation can obtain more accurate delay value under the condition of low SNR compared with the traditional correlation and the second correlation method.
Aiming at the problem that the estimation accuracy of time delay estimation in passive positioning is low at low SNR,a time-delay estimation algorithm based on third correlation is proposed on the basis of the research of traditional cross-correlation method and auto-correlation properties.The algorithm is based on the traditional cross-correlation method and uses the auto-correlation power spectrum function of the two input signals to cross-correlate with the traditional cross-correlation power spectrum function,which exhibits an exponential multiplication of the amplitude at the signal frequency points in the third correlation power spectral density functions,thereby the relationship with other fine peak amplitudes has been weakened,and finally achieved the ideal effect of the cross-correlation power spectrum function required by the time delay estimation value.The experimental simulation results show that the time-delay estimation algorithm based on the third correlation can obtain more accurate delay value under the condition of low SNR compared with the traditional correlation and the second correlation method.
引文
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[2] 张宇,严天峰,杨志飞.基于奇异值分解的广义互相关时延估计[J].兰州交通大学学报,2017,36(3):46-51.
[3] 张宇,严天峰,杨志飞.基于BP神经网络拟合的二次相关时延估计[J].兰州交通大学学报,2018,37(2):38-42.
[4] 雷文英,陈伯孝,杨明磊,等.基于TOA和TDOA的三维无源目标定位方法[J].系统工程与电子技术,2014,36(5):816-823.
[5] 魏子翔,胡永芳,崔嵬,等.基于对称天线相位干涉仪的入射角估计及跟踪[J].电子与信息学报,2015,37(10):2369-2376.
[6] 张大威,鲍长春,夏丙寅.复杂环境下基于时延估计的声源定位技术研究[J].通信学报,2014,35(1):183-190.
[7] 金留念.无源定位中时延估计方法的研究[D].西安:西安电子科技大学,2011.
[8] KNAPP C,CARTER G C.The generalized correlation method for estimation of time delay[J].IEEE Transactions on Acoustics,Speech and Signal Processing,1976,24(4):320-327.
[9] 杜娟,程擂.基于二次相关的时延估计方法研究[J].弹箭与制导学报,2010,30(6):221-223.
[10] 周康辉,董万胜,刘恒毅,等.利用二次相关改进的广义互相关时延估计算法[J].数据采集与处理,2013,28(6):801-806.
[11] 樊昌信,曹丽娜.通信原理[M].北京:国防工业出版社,2001.
[12] 金中薇,姜明顺,隋青美,等.基于广义互相关时延估计算法的声发射定位技术[J].传感技术学报,2013,26(11):1513-1518.