Geopotential Reconstruction, Decomposition, Fast Computation, and Noise Cancellation by Harmonic Wavelets.

Autor: Freeden, Willi, Groten, Erwin, Michel, Volker, Arfa-Kaboodvand, Kourosh
Zdroj: Studia Geophysica & Geodaetica; Jan2003, Vol. 47 Issue 1, p37-72, 36p
Abstrakt: Harmonic wavelets are introduced within the framework of the Sobolev-like Hilbert space H of potentials with “square-integrable restrictions” to the Earth's (mean) sphere Ω R. Basic tool is the construction of H-product kernels in terms of an (outer harmonics) orthonormal basis in H. Scaling function and wavelet are defined by means of so-called H-product kernels. Harmonic wavelets are shown to be “building blocks” that decorrelate geopotential data. A pyramid scheme enables fast computations. Multiscale signal-to-noise thresholding provides suitable denoising. Multiscale modelling of the Earth's anomalous potential from EGM96-model data is illustrated by use of bandlimited harmonic wavelets, i.e. Shannon and CP-wavelets. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: