Spatiospectral concentration on a sphere

FJ Simons, FA Dahlen, MA Wieczorek - SIAM review, 2006 - SIAM
We pose and solve the analogue of Slepian's time-frequency concentration problem on the
surface of the unit sphere to determine an orthogonal family of strictly bandlimited functions …

Localized spectral analysis on the sphere

MA Wieczorek, FJ Simons - Geophysical Journal International, 2005 - academic.oup.com
It is often advantageous to investigate the relationship between two geophysical data sets in
the spectral domain by calculating admittance and coherence functions. While there exist …

[图书][B] Analysis and synthesis of sound-radiation with spherical arrays

F Zotter - 2009 - researchgate.net
This work demonstrates a comprehensive methodology for capture, analysis, manipulation,
and reproduction of spatial sound-radiation. As the challenge herein, acoustic events need …

[HTML][HTML] 基于Slepian 方法和地面重力观测确定时变重力场模型: 以2011—2013 年华北地区数据为例

韩建成, 陈石, 卢红艳, 徐伟民 - 地球物理学报, 2021 - html.rhhz.net
时变重力场是研究地球系统内部物质运动和时空演化过程的有效途径. 目前广泛使用的GRACE
时变重力场模型受限于其空间分辨率(约400 km), 难以探测较小空间尺度的重力变化 …

Spherical Slepian functions and the polar gap in geodesy

FJ Simons, FA Dahlen - Geophysical Journal International, 2006 - academic.oup.com
The estimation of potential fields such as the gravitational or magnetic potential at the
surface of a spherical planet from noisy observations taken at an altitude over an incomplete …

Wavelet frames: an alternative to spherical harmonic representation of potential fields

A Chambodut, I Panet, M Mandea… - Geophysical Journal …, 2005 - academic.oup.com
Potential fields are classically represented on the sphere using spherical harmonics.
However, this decomposition leads to numerical difficulties when data to be modelled are …

[PDF][PDF] 基于泊松小波径向基函数融合多源数据的局部重力场建模

吴怿昊, 罗志才, 周波阳 - 地球物理学报, 2016 - dsjyj.com.cn
摘要融合多源数据的高精度, 高分辨率的局部重力场建模是物理大地测量学的前沿和热点问题.
本文研究了基于径向基函数融合多源数据的局部重力场建模方法, 利用Monte Carlo …

Spectral estimation on a sphere in geophysics and cosmology

FA Dahlen, FJ Simons - Geophysical Journal International, 2008 - academic.oup.com
We address the problem of estimating the spherical-harmonic power spectrum of a
statistically isotropic scalar signal from noise-contaminated data on a region of the unit …

Slepian functions and their use in signal estimation and spectral analysis

FJ Simons - arXiv preprint arXiv:0909.5368, 2009 - arxiv.org
It is a well-known fact that mathematical functions that are timelimited (or spacelimited)
cannot be simultaneously bandlimited (in frequency). Yet the finite precision of …

[HTML][HTML] Time-variable gravity field determination using Slepian functions and terrestrial measurements: A case study in North China with data from 2011 to 2013

JC HAN, S CHEN, HY LU, WM XU - Chinese Journal of Geophysics, 2021 - en.dzkx.org
The time-variable gravity field (TVGF) provides an effective means of measuring the
temporal and spatial variations of the mass redistribution within the Earth system. The widely …