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IGFS 2014 pp 53-61 | Cite as

Wavelet Multi-Resolution Analysis of Recent GOCE/GRACE GGMs

  • A. C. Peidou
  • G. S. VergosEmail author
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 144)

Abstract

The realization of the GRACE/GOCE missions offer new opportunities for gravity field approximation with higher accuracy at the medium wavebands, while wavelets (WL) provide powerful gravity field analysis tools in the space/frequency domain. This work focuses on the spectral analysis of GOCE, GOCE/GRACE and combined Global Geopotential Models (GGMs) through wavelet decomposition, filtering and reconstruction to improve their performance in the higher bands of the spectrum. The GGMs evaluated refer to the latest DIR-R4/R5, TIM-R4/R5 and GOCO03s models, which are compared with local GPS/Leveling geoid heights and gravity anomalies, while EGM2008 is used as a reference. Through a WL-based multi-resolution analysis, gravity anomalies and geoid heights are analyzed to derive their approximation and detail coefficients for various levels of decomposition, which correspond to different spatial scales. The content and signal power of each level of decomposition is analyzed to conclude on the amount and quality of signal power that GOCE/GRACE GGMs represent compared to EGM2008, especially up to the targeted waveband of 100–150 km. Filtering is investigated as well to remove high-frequency information from the low resolution GOCE models and adjust the WL reconstruction. The model synthesis that follows, through WL coefficient reconstruction, aims at the generation of new synthesized GGMs, where both GOCE and EGM2008 information is used, the latter serving to model the omission error in the GOCE GGMs. The synthesized GOCE GGMs offer an improvement of more than 30 cm compared to the original GOCE GGMs, while they provide a 1–2 cm improvement compared to EGM2008. In terms of the validation with gravity anomalies, a 5 mGal improvement was found, w.r.t. to the original GOCE GGMs, while w.r.t. EGM2008 there was no improvement. Finally, it was concluded that the GOCE GGMs show improved, between 5–22%, correlation with the land topography compared to EGM2008 for spatial scales between 176–704 km.

Keywords

Correlation Filtering Gravity field Multi-resolution analysis Spectrum coherency Validation Wavelets 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Geodesy and SurveyingAristotle University ofThessalonikiThessalonikiGreece

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