Application of Stabilized AR        <i >‐z‐z        Spectrum in Harmonic Analysis for Geophysics

Ding Hao; Chao Benjamin F.

摘要

Abstract > The AR ‐z spectrum devised in Ding and Chao (2015a) for analyzing harmonic signals (an extension of the frequency domain autoregressive AR algorithm developed by Chao and Gilbert (1980) based on Prony's method) proves to have significantly higher sensitivity and spectral resolution than the Fourier and maximum‐entropy spectra, especially when the signal‐to‐noise ratio is low. As such, it can be prone to random fluctuations in the form of spurious variances of the noise spectrum. Here we develop a stabilized AR ‐z spectrum taking advantage of a Monte Carlo noise‐assisted bootstrap scheme, and demonstrate its effectiveness in obtaining more robust spectral estimates for single record. We apply the stabilized AR ‐z spectrum, and compare it with the Fourier and maximum‐entropy spectra, to a number of global geophysical observables of the Earth, including the elastic free oscillations, length of day variation (ΔLOD), dynamic oblateness (Δ J <sub>2</sub> ), polar motion, Earth's nutation, and global mean sea level variation. We report the findings about hitherto unresolved fine structures, including those for the Mf and Mm tidal clusters in the ΔLOD, Δ J <sub>2</sub> , polar motion and the Earth's nutation, and the modal splittings of the Earth's free oscillations. Furthermore, a number of long‐period signals of certain nominal periodicities are detected (or confirmed) in the stabilized AR‐ z spectra, including the 6‐year signals in ΔLOD, the 18.6‐year signals expected in ΔLOD and Δ J <sub>2</sub> , and certain quasiperiodic interannual to decadal periodicities whose origins have yet to be identified. Overall, the stabilized AR </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”XML：Lang =“en”> <标题类型=“main”>抽象</ title> >在丁和潮中设计的ar -z </ i>频谱（2015a ）用于分析谐波信号（基于Prony方法的Chao和Gilbert（1980）开发的频域自回归AR算法的扩展）证明了比傅里叶和最大熵谱的灵敏度和光谱分辨率显着更高，尤其是当信号时 - 噪声比率低。因此，它可以易于以噪声谱的虚假差异的形式随机波动。在这里，我们开发了一种稳定的</ i> ar -z </ i>谱利用蒙特卡罗噪声辅助的引导方案，并证明其在获得单次记录的更强大的频谱估计方面的有效性。我们应用稳定的AR -Z和频谱，并将其与傅里叶和最大熵谱进行比较，以多个全球地球物理可观察物，包括弹性自由振荡，日变化长度（ ΔLOD），动态尺寸（Δ j </ i> <sub> 2 </ sub>），极性运动，地球的努力和全局平均海平面变化。我们报告了关于迄今未解决的细结构的调查结果，包括ΔLOD中的MF和MM跳簇的结果，ΔLOD，Δ <sub> 2 </ sub>，极性运动和地球的螺母，以及地球的模态分裂的自由振荡。此外，在稳定的Ar- Z </ i>光谱中检测（或确认）的许多长期信号，包括ΔLOD中的6年信号，预期的18.6年信号ΔLOD和δ1j </ i> <sub> 2 </ sub>，以及迄今尚未识别的额外周期的某些QuaSiodicic。总的来说，稳定的AR </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-34677/'>《Journal of geophysical research. Solid earth: JGR》</a> <b style="margin: 0 2px;">|</b><span>2018年第9期</span><b style="margin: 0 2px;">|</b><span>共11页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ding Hao&option=202" target="_blank" rel="nofollow">Ding Hao;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Chao Benjamin F.&option=202" target="_blank" rel="nofollow">Chao Benjamin F.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Geophysics School of Geodesy and GeomaticsWuhan UniversityWuhan China;</p> <p>Institute of Earth SciencesAcademia SinicaTaipei Taiwan;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/163.html" title="地球物理学">地球物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=AR‐ z spectrum&option=203" rel="nofollow">AR‐ z spectrum;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=data analysis&option=203" rel="nofollow">data analysis;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=geophysical data sets&option=203" rel="nofollow">geophysical data sets;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=weak harmonic signal&option=203" rel="nofollow">weak harmonic signal;</a> </p> <div class="translation"> 机译：AR-Z频谱;数据分析;地球物理数据集;弱谐波信号; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704025592084.html">Application of Stabilized AR <i >‐z‐z Spectrum in Harmonic Analysis for Geophysics</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ding Hao&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ding Hao,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Chao Benjamin F.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Chao Benjamin F. </a> <a href="/journal-foreign-34677/" target="_blank" rel="nofollow" class="tuijian_authcolor">Journal of geophysical research. 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Application of Stabilized AR ‐z‐z Spectrum in Harmonic Analysis for Geophysics

摘要