The Intriguing Structure of Stripes in GRACE Geopotential Models
Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the la...
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oai:doaj.org-article:ae53824bac1f498980102a38c9373dc82021-11-11T18:54:42ZThe Intriguing Structure of Stripes in GRACE Geopotential Models10.3390/rs132143622072-4292https://doaj.org/article/ae53824bac1f498980102a38c9373dc82021-10-01T00:00:00Zhttps://www.mdpi.com/2072-4292/13/21/4362https://doaj.org/toc/2072-4292Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the latitudinal sampling characteristics of GRACE and we reveal the intriguing sampling mechanism that creates sub-Nyquist artifacts (stripes). Because the sub-Nyquist artifacts are poorly understood, we provide a simple simulation example to elucidate the mechanism of the sub-Nyquist artifact generation. Subsequently, we randomly select June 2009 daily GPS precise science orbits for GRACE-A to produce ground tracks to sample the low frequency disturbing potential (geoid) along the parallel of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mo>°</mo></msup><mtext> </mtext><mi mathvariant="normal">N</mi></mrow></semantics></math></inline-formula>. The sampled geoid is then deinterlaced in space to produce a monthly data sequence whose detailed analysis shows that the sub-Nyquist artifacts (stripes) are produced from a critical sampling rate of the low degree gravitational field that is related to the ratio <i>m</i>/<i>n</i> of two mutually prime integers, where <i>m</i> is the number of days it takes to have a nearly repeat orbit and <i>n</i> is the number of complete orbits in one day. We perform extensive analyses of GRACE Level-2 data over a period of eight years to show the variability in the orbital characteristics that are directly linked to the orbit resonances (via integers <i>m</i> and <i>n</i>). It turns out that during short repeat cycle resonances the stripes are amplified. Finally, to minimize the presence of stripes in Level-2 data products, it is recommended that orbits of future missions should be designed to avoid the critical <i>m</i>/<i>n</i> ratios while appropriately monitoring and adjusting them during the mission. For completed missions, or missions that are already active, force modelling the latitudinal low frequency disturbing potential may be a viable and most preferred approach to filtering.Spiros PagiatakisAthina PeidouMDPI AGarticleGRACE stripessub-Nyquist artifactssampling artifactsaliasingdisturbing potentialScienceQENRemote Sensing, Vol 13, Iss 4362, p 4362 (2021) |
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GRACE stripes sub-Nyquist artifacts sampling artifacts aliasing disturbing potential Science Q Spiros Pagiatakis Athina Peidou The Intriguing Structure of Stripes in GRACE Geopotential Models |
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Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the latitudinal sampling characteristics of GRACE and we reveal the intriguing sampling mechanism that creates sub-Nyquist artifacts (stripes). Because the sub-Nyquist artifacts are poorly understood, we provide a simple simulation example to elucidate the mechanism of the sub-Nyquist artifact generation. Subsequently, we randomly select June 2009 daily GPS precise science orbits for GRACE-A to produce ground tracks to sample the low frequency disturbing potential (geoid) along the parallel of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mo>°</mo></msup><mtext> </mtext><mi mathvariant="normal">N</mi></mrow></semantics></math></inline-formula>. The sampled geoid is then deinterlaced in space to produce a monthly data sequence whose detailed analysis shows that the sub-Nyquist artifacts (stripes) are produced from a critical sampling rate of the low degree gravitational field that is related to the ratio <i>m</i>/<i>n</i> of two mutually prime integers, where <i>m</i> is the number of days it takes to have a nearly repeat orbit and <i>n</i> is the number of complete orbits in one day. We perform extensive analyses of GRACE Level-2 data over a period of eight years to show the variability in the orbital characteristics that are directly linked to the orbit resonances (via integers <i>m</i> and <i>n</i>). It turns out that during short repeat cycle resonances the stripes are amplified. Finally, to minimize the presence of stripes in Level-2 data products, it is recommended that orbits of future missions should be designed to avoid the critical <i>m</i>/<i>n</i> ratios while appropriately monitoring and adjusting them during the mission. For completed missions, or missions that are already active, force modelling the latitudinal low frequency disturbing potential may be a viable and most preferred approach to filtering. |
format |
article |
author |
Spiros Pagiatakis Athina Peidou |
author_facet |
Spiros Pagiatakis Athina Peidou |
author_sort |
Spiros Pagiatakis |
title |
The Intriguing Structure of Stripes in GRACE Geopotential Models |
title_short |
The Intriguing Structure of Stripes in GRACE Geopotential Models |
title_full |
The Intriguing Structure of Stripes in GRACE Geopotential Models |
title_fullStr |
The Intriguing Structure of Stripes in GRACE Geopotential Models |
title_full_unstemmed |
The Intriguing Structure of Stripes in GRACE Geopotential Models |
title_sort |
intriguing structure of stripes in grace geopotential models |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/ae53824bac1f498980102a38c9373dc8 |
work_keys_str_mv |
AT spirospagiatakis theintriguingstructureofstripesingracegeopotentialmodels AT athinapeidou theintriguingstructureofstripesingracegeopotentialmodels AT spirospagiatakis intriguingstructureofstripesingracegeopotentialmodels AT athinapeidou intriguingstructureofstripesingracegeopotentialmodels |
_version_ |
1718431665859067904 |