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基于连续小波的微地震时间延迟估计方法

Microseismic Time Delay Estimation Method Based on Continuous Wavelet.

作者信息

Du Cunpeng, Yu Shengwen, Yin Haitao, Sun Zhen

机构信息

College of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao 266510, China.

Shandong Earthquake Agency, Jinan 250014, China.

出版信息

Sensors (Basel). 2022 Apr 7;22(8):2845. doi: 10.3390/s22082845.

Abstract

The microseismic signal is easily affected by observation noise and the inaccurate estimation of traditional methods will seriously reduce the location accuracy of the microseismic event. Therefore, based on the continuous wavelet spectrum and the similarity coefficient, a fast and efficient microseismic time delay estimation method is proposed. Firstly, the original signals are denoised by continuous wavelet transform. Subsequently, the time-frequency transform of the original signal by continuous wavelet transform, time-frequency signal extraction is the process of band-pass filtering, which can further reduce the influence of noise interference on the time delay estimation. Finally, we calculated the similarity between the time-frequency signals via the time domain and frequency domain integration. The similarity function is based on correlation and proposed according to the time-frequency transformation provided by the phase spectrum to evaluate the similarity between two noisy signals. The time delay estimation is determined by searching for the similarity function peak. The experimental results show the precision and accuracy of the method over the cross-correlation method and generalized cross-correlation phase transformation method, especially when the signal-to-noise ratio is low. Therefore, a new time delay estimation method for non-stationary random signals is presented in this paper.

摘要

微地震信号容易受到观测噪声的影响,传统方法的不准确估计会严重降低微地震事件的定位精度。因此,基于连续小波谱和相似系数,提出了一种快速高效的微地震时延估计方法。首先,通过连续小波变换对原始信号进行去噪。随后,对原始信号进行连续小波变换的时频变换,时频信号提取是带通滤波过程,可进一步降低噪声干扰对时延估计的影响。最后,通过时域和频域积分计算时频信号之间的相似度。相似性函数基于相关性,并根据相位谱提供的时频变换提出,以评估两个噪声信号之间的相似性。通过搜索相似性函数峰值来确定时延估计。实验结果表明,该方法在精度和准确性上优于互相关法和广义互相关相位变换法,尤其是在信噪比低的情况下。因此,本文提出了一种新的非平稳随机信号时延估计方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2dc0/9026944/bc8965c6470a/sensors-22-02845-g001.jpg

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