scholarly journals On the Domain of Convergence of Spherical Harmonic Expansions

2022 ◽  
Author(s):  
O. Costin ◽  
R. D. Costin ◽  
C. Ogle ◽  
M. Bevis
Keyword(s):  
Spherical Harmonic

Extreme learning machine-based spherical harmonic for fast ionospheric delay modeling

2021 ◽  
Vol 216 ◽  
pp. 105590
Author(s):  
Tao Zhao ◽  
Shuguo Pan ◽  
Wang Gao ◽  
Zhao Qing ◽  
Xing Yang ◽  
...  
Keyword(s):  
Extreme Learning Machine ◽  
Spherical Harmonic ◽  
Ionospheric Delay ◽  
Learning Machine

scholarly journals Analytic spherical harmonic gradients for real-time rendering with many polygonal area lights

2020 ◽  
Vol 39 (4) ◽  
Author(s):  
Lifan Wu ◽  
Guangyan Cai ◽  
Shuang Zhao ◽  
Ravi Ramamoorthi
Keyword(s):  
Real Time ◽  
Spherical Harmonic ◽  
Polygonal Area

scholarly journals Evaluation of hydrological and cryospheric angular momentum estimates based on GRACE, GRACE-FO and SLR data for their contributions to polar motion excitation

2021 ◽  
Vol 73 (1) ◽  
Author(s):  
Justyna Śliwińska ◽  
Jolanta Nastula ◽  
Małgorzata Wińska
Keyword(s):  
Angular Momentum ◽  
Spherical Harmonic ◽  
Polar Motion ◽  
Spectral Band ◽  
Water Storage ◽  
Terrestrial Water Storage ◽  
Terrestrial Water ◽  
High Consistency ◽  
Polar Motion Excitation

AbstractIn geodesy, a key application of data from the Gravity Recovery and Climate Experiment (GRACE), GRACE Follow-On (GRACE-FO), and Satellite Laser Ranging (SLR) is an interpretation of changes in polar motion excitation due to variations in the Earth’s surficial fluids, especially in the continental water, snow, and ice. Such impacts are usually examined by computing hydrological and cryospheric polar motion excitation (hydrological and cryospheric angular momentum, HAM/CAM). Three types of GRACE and GRACE-FO data can be used to determine HAM/CAM, namely degree-2 order-1 spherical harmonic coefficients of geopotential, gridded terrestrial water storage anomalies computed from spherical harmonic coefficients, and terrestrial water storage anomalies obtained from mascon solutions. This study compares HAM/CAM computed from these three kinds of gravimetric data. A comparison of GRACE-based excitation series with HAM/CAM obtained from SLR is also provided. A validation of different HAM/CAM estimates is conducted here using the so-called geodetic residual time series (GAO), which describes the hydrological and cryospheric signal in the observed polar motion excitation. Our analysis of GRACE mission data indicates that the use of mascon solutions provides higher consistency between HAM/CAM and GAO than the use of other datasets, especially in the seasonal spectral band. These conclusions are confirmed by the results obtained for data from first 2 years of GRACE-FO. Overall, after 2 years from the start of GRACE-FO, the high consistency between HAM/CAM and GAO that was achieved during the best GRACE period has not yet been repeated. However, it should be remembered that with the systematic appearance of subsequent GRACE-FO observations, this quality can be expected to increase. SLR data can be used for determination of HAM/CAM to fill the one-year-long data gap between the end of GRACE and the start of the GRACE-FO mission. In addition, SLR series could be particularly useful in determination of HAM/CAM in the non-seasonal spectral band. Despite its low seasonal amplitudes, SLR-based HAM/CAM provides high phase consistency with GAO for annual and semiannual oscillation.

Sector-Based Parametric Sound Field Reproduction in the Spherical Harmonic Domain

2015 ◽  
Vol 9 (5) ◽  
pp. 852-866 ◽  
Author(s):  
Archontis Politis ◽  
Juha Vilkamo ◽  
Ville Pulkki
Keyword(s):  
Spherical Harmonic ◽  
Sound Field
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