Quality Assessment of Satellite-based Global Gravity Field Models |
From inside the book
Results 1-3 of 5
Page 55
... constraint a MSE BNR 1 signal 2.4 1 0.2 max ( BSR ) b 0.2 ( 54.8 ) la 1st deriv . 2.0 × 10-4 1.1 0.2 0.3 ( 518.4 ) ... second derivative constraint is tested . Matrix K is diagonal with elements 101014 which is the inverse of the well ...
... constraint a MSE BNR 1 signal 2.4 1 0.2 max ( BSR ) b 0.2 ( 54.8 ) la 1st deriv . 2.0 × 10-4 1.1 0.2 0.3 ( 518.4 ) ... second derivative constraint is tested . Matrix K is diagonal with elements 101014 which is the inverse of the well ...
Page 64
... derivative or second derivative constraint yield comparable results . If the polar gaps are not taken into account then all regularisation methods perform equally well in terms of RMS geoid height errors . A complete understanding of ...
... derivative or second derivative constraint yield comparable results . If the polar gaps are not taken into account then all regularisation methods perform equally well in terms of RMS geoid height errors . A complete understanding of ...
Page 82
... constraint . TR with second derivative constraint is slightly worse , specifically the high degree coefficients are more biased . Although generalised biased estimation ( GBE ) is designed to give the smallest MSE , it does not perform ...
... constraint . TR with second derivative constraint is slightly worse , specifically the high degree coefficients are more biased . Although generalised biased estimation ( GBE ) is designed to give the smallest MSE , it does not perform ...
Contents
Quality measures | 23 |
5 | 29 |
Gravity field models from SGG only | 47 |
Copyright | |
5 other sections not shown
Common terms and phrases
approximate ATPA biased estimation chapter combination of SGG computed condition number contribution measure degree and order degree coefficients degree-order variances diagonal discussed downward continuation Earth eigenvalues error covariance error degree variances error propagation filter finite frequencies function geodesy geoid errors global gravity field gravimetry gravitational potential gravity anomalies gravity field model gravity gradients grid levels Hansen ill-posed problems interpolation error inverse problem iteration L-curve least-squares solution linear maximum BSR maximum degree mean square error mGal minimising minimum MSE mission 2a model error MSEM normal matrix operator parameter choice rules polar gap potential coefficients Propagated errors quality description regularisation methods regularisation parameter Rummel Schrama second derivative constraint SGG+Ag shown signal constraint simulated singular value decomposition solved spherical harmonic spherical harmonic coefficients SST observations Tikhonov regularisation TR with signal variance-covariance matrix white noise yields zero