An T Nguyen (MIT) Thomas A Herring (MIT) Analysis of ICESat Data in East Antarctica using Kriging and Kalman Filter Motivation: detect height change + surface characteristics An T Nguyen (MIT) Thomas A Herring (MIT) Special thanks to Dr. Zwally and H. Cornejo
Introduction: ICESat: Elevation Roughness first laser satellite to study ice sheets high accuracy (< 20cm) high spatial resolution (~172m spacing) Elevation Roughness
Region of study: Objectives: [100km]2 block: dh/dt ? seasonal cycle amplitude & phase ? surface characteristics ?
Kriging / Kalman filter: The basic set up: a-priori 5-km resolution DEM ICESat derived height z(ti) Kriging / Kalman filter: 5-km DEM adjustment Kalman filter: predict at time t2 using Kriging and t1 t2 x = [ho, dh/dt , B1, B2 , hi ] Estimate: Ice sheet mass balance use to improve
ICESat Data: GLA06: Laser 2a release 24 Laser 3a release 23 Data editing: 1) Saturation correction 2) Within [0.29o, 0.34o] pointing 3) Gain [13,100] 4) Single profile editing
ICESat Data: (cont) asc des
Preliminary results: a) dh/dt –5.0 to –9.0 cm/yr Laser 2a R24 yields more negative dh/dt than R21 Ice sheet mass balance Pointing errors: gives s ~ 7cm/yr dh/dt results inconclusive at this time.
Validation of the technique: Cross-overs Kriging/Kalman filter
Results (cont’d): b) surface features ICESat derived heights + DEM Results (cont’d): b) surface features residuals
Surface characteristics (cont’d) Model Model s32 s32 : instrument noise, surface roughness wo wo: 5-km DEM related [s12 ,s22] [b1, b2] [b1, b2]: length scales of features smaller than 5km
Summary Kriging/Kalman filter results: –5cm/yr to –9cm/yr in East Antarctica consistent with cross-over analysis 5-km DEM: removes long wavelength features (> 5km) Residual analysis: structures at shorter wavelengths time-correlated noise process [s12 , s22 , s32, b1, b2, wo] correlation lengths & roughness from b’s instrument noise level & roughness, s32 pointing errors still dominate, ~7cm/yr in progress to model pointing biases
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