Welch参数的选择对台基噪声功率谱估计结果影响较大,目前尚无统一选取标准。通过比较不同Welch参数组合下功率谱密度曲线平滑度的变化规律,研究窗口长度和重叠率对功率谱估计的影响,并提出最低重叠率和匹配重叠率的概念。研究表明,当窗口长度大于50%、重叠率取值小于最低重叠率时,功率谱估计偏差较大;特定窗口长度对应一系列匹配重叠率,在匹配重叠率下的功率谱估计更准确。
The selection of Welch parameters has a significant impact on the estimation results of the power spectral density of seismic station noise, and there is currently no unified selection standard. By comparing the variations of the power spectral density curves smoothness at different Welch parameter combinations, this study investigates the effects of window length and overlap rate on power spectrum estimation, and introduces the concepts of minimum overlap rate and matching overlap rate. The result shows that when the window length is greater than 50%, and the overlap value is less than the minimum overlap, the bias in the power spectrum estimation is significant. A specific window length corresponds to a series of matching overlaps,and the power spectrum estimation under matching overlap is more accurate.
2023,44(4): 63-67 收稿日期:2023-04-05
DOI:10.3969/j.issn.1003-3246.2023.04.010
基金项目:2021年河北省地方标准制修订项目计划(第二批)(项目编号:FW202154)
作者简介:尹康达(1987-),男,工程师,主要从事地震观测技术研究工作。E-mail:yinkangda@126.com
参考文献:
葛洪魁,陈海潮,欧阳飚,等. 流动地震观测背景噪声的台基响应[J]. 地球物理学报,2013,56(3):857-868.
李小军,谢剑波,杨大克,等. 基于概率统计的甚宽频带地震计自噪声水平分析[J]. 中国地震,2019,35(1):38-52.
林彬华,金星,黄玲珠,等. 地震台站噪声水平定量评估及其在气枪源探测中的应用[J]. 地震工程学报,2020,42(6):1 555-1 564.
田文德,叶建庆,胡俊明. 成都地震台JCZ-1与JCZ-1T甚宽频带地震仪对比观测分析[J]. 地震研究,2013,36(3):372-378.
谢江涛,林丽萍,赵敏,等. 四川地区地震背景噪声特征分析[J]. 地震学报,2021,43(5):533-550.
杨千里,郝春月,田鑫. 新疆和田台阵PSD与PDF分析[J]. 地球物理学报,2019,62(7):2 591-2 606.
Enferadi S, Shomali Z H, Niksejel A. Feasibility study of earthquake early warning in Tehran, Iran[J]. Journal of Seismology, 2021, 25(4):1 127-1 140.
Li X J, Yang D K, Xie J B, et al. Applicability of the Welch method for examining self-noise level parameters for broadband seismometers[J]. Geodesy and Geodynamics, 2015, 6(3):233-239.
McNamara D E, Buland R P. Ambient noise levels in the continental United States[J]. Bulletin of the Seismological Society of America, 2004, 94(4):1 517-1 527.
McNamara D E, Hutt C R, Gee L S, et al. A method to establish seismic noise baselines for automated station assessment[J]. Seismological Research Letters, 2009, 80(4):628-637.
Sleeman R, Van Wettum A, Trampert J. Three-channel correlation analysis:a new technique to measure instrumental noise of digitizers and seismic sensors[J]. Bulletin of the Seismological Society of America, 2006, 96(1):258-271.
Welch P D. The use of fast Fourier transform for the estimation of power spectra:a method based on time averaging over short, modified periodograms[J]. IEEE Transactions on Audio and Electroacoustics, 1967, 15(2):70-73.
Xu W W, Yuan S Y. A case study of seismograph self-noise test from Trillium 120QA seismometer and Reftek 130 data logger[J]. Journal of Seismology, 2019, 23(6):1 347-1 355.