论文标题
Hankel Spectrum分析：一种新型的信号分解方法及其地球物理应用
Hankel Spectrum Analysis: A novel signal decomposition method and its geophysical applications
论文作者
论文摘要
为了分析地球物理可观察物中通常包含的非平稳谐波信号是一个任务，在数十年中，数值技术的不断发展。在本文中，基于瞬态Z极估计（在Hankel矩阵中），开发了一种新的状态空间分析，称为Hankel光谱分析（HSA）。 HSA取决于Hankel总正方形（HTL），其中包含截短的奇异值分解（TSVD）及其在鲁棒分解紧密间隔的正弦曲线中的偏移不变特性。诉诸滑动窗口处理后，HSA可用于分析非平稳结构，以支持连续的第四纪参数{ai，αi，fi，θi}。基于一系列具有特殊特征在实际测量中的特殊特征的实验，确认了复杂的谐波成分中HSA的可用性（例如，确认了具有低信噪比比率的时间变化幅度/频率，突变，发作记录信号）。在实际应用中，我们使用HSA分析了全局地球物理可观察物，包括极性运动（PM）和地球动态含量（ΔJJ2），并获得了一些新发现。自1900年代以来，在PM系列中，首先确认了Chandler Wobble（CW）的三次跳跃。所有这些都通过钱德勒强度和周期的急剧下降来同步。在ΔJ2系列中，确定两个decadal信号（18.6年，10.5年）与潮汐效应和太阳活动相关。它的年际振荡及其年度振荡有助于多个全球重力异常。这些发现暗示了HSA在搜索迄今为止的地球物理观察信号中的巨大潜力。
To analyze non-stationary harmonic signals typically contained in geophysical observables is a quest that has seen continual advances in numerical techniques over the decades. In this paper, based on transient z-pole estimation (in Hankel matrices), a novel state-space analysis referred to as Hankel Spectral Analysis (HSA), was developed. Depended on the Hankel total least square (HTLS), the HSA incorporates truncated singular value decomposition (TSVD) and its shift-invariant property in robustly decomposing the closely-spaced sinusoids. Resorted to a sliding window processing, HSA can be used to analyze non-stationary sequential structures, in the support of consecutive quaternary parameters {Ai, αi, fi, θi}. Based on a series of experiments with special features commonly in real measurements, the availabilities of HSA in complex harmonic constituents (e.g., the time-variant amplitude/frequency, mutation, the episodic recording signals) with low Signal-to-Noise Ratio are confirmed. In real applications, we use HSA to analyze both global geophysical observables, including polar motion (PM) and earth's dynamic oblateness (ΔJ2), and some new findings are obtained. In the PM series since the 1900s, a total of triple jumps from Chandler wobble (CW) are firstly confirmed; and all of them are synchronized by the sharp decrease of Chandler intensity and period. In the ΔJ2 series, two decadal signals (18.6 yr, 10.5 yr) are identified to be associated with the tide effect, and solar activity; and its interannual-to-decadal oscillations contribute to multiple global gravity anomalies. These findings implied the great potential of the HSA in searching hitherto signals of geophysical observations.
