Quality Assessment of Satellite-based Global Gravity Field Models |
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Page 9
... filter out the influence of the factor 1 / σn and to restore continuity . To this end , consider the filter 8 : ( 0 , ∞ ) x ( 0 , || A || ) → R which is defined as a bounded function satisfying the conditions : 1. For each a > 0 there ...
... filter out the influence of the factor 1 / σn and to restore continuity . To this end , consider the filter 8 : ( 0 , ∞ ) x ( 0 , || A || ) → R which is defined as a bounded function satisfying the conditions : 1. For each a > 0 there ...
Page 13
... filter is an ideal low - pass filter , that is , the filter factors are either zero or one leaving all low frequent parts unchanged , which may lead to oscillations around the true solution in the spatial domain . The filter factors ...
... filter is an ideal low - pass filter , that is , the filter factors are either zero or one leaving all low frequent parts unchanged , which may lead to oscillations around the true solution in the spatial domain . The filter factors ...
Page 18
J. Bouman. n ( a ) less filtering , a small C more filtering , a large ξ ( α ) Figure 2.2 : The L - curve in log - log ... filter factors : - - -- tr ( Im AA ) = m − ( n − p ) - Σδια , γ ) i = 1 ( 2.21 ) with the filter & defined in ...
J. Bouman. n ( a ) less filtering , a small C more filtering , a large ξ ( α ) Figure 2.2 : The L - curve in log - log ... filter factors : - - -- tr ( Im AA ) = m − ( n − p ) - Σδια , γ ) i = 1 ( 2.21 ) with the filter & defined in ...
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