Statistical resolution Uncertainties of ambiguities are always uncertain Formal estimates come for inversion but these depend on data noise characteristics(most importantly correlations in data) Many kinematic surveys done with high sampling rates(0. 1-1Hz) so white noise assumptions generate very small error estimates Most testing methods use a"contrast or "ratio"style test (ie, ratio of x2 with best and next best choice of ambiguities and an impact on x2 of setting the value to n integer. Covers last case shown--no integer seems correct implying modeling errors 12540Lec22 LAMBDA Method In addition to individual values Each ambiguity that is resolved effects other estimates and thus there is a cascading effect The LAMBDa Method tries to account for these correlations by projecting the ambiguities into ar orthogonal space. Use of eigenvectors and eigenvalues discussed in earlier classes) Method is from a linear operator that preserves nteger values and transforms ambiguities so that estimates are nearly un-correlated.(Eigenvectors ould make estimates uncorrelated, by integers would be preserved)05/07/03 12.540 Lec 22 9 Statistical resolution • Formal estimates come for inversion but these depend on data noise characteristics (most importantly correlations in data). • rates (0.1-1Hz) so white noise assumptions generate very small error estimates. • test (ie., ratio of c2 with best and next best choice of ambiguities and an impact on c2 of setting the value to an integer. Covers last case shown--no integer seems correct implying modeling errors.) Uncertainties of ambiguities are always uncertain. Many kinematic surveys done with high sampling Most testing methods use a “contrast” or “ratio” style 05/07/03 12.540 Lec 22 10 LAMBDA Method • In addition to individual values: Each ambiguity that is resolved, effects other estimates and thus there is a cascading effect. • The LAMBDA Method tries to account for these correlations by projecting the ambiguities into an orthogonal space. (Use of eigenvectors and • Method is from a linear operator that preserves estimates are nearly un-correlated. (Eigenvectors would make estimates uncorrelated, by integers would not be preserved). eigenvalues discussed in earlier classes). integer values and transforms ambiguities so that 5