L1-NORM ESTIMATION FOR CORRELATED OBSERVATIONS

للكاتب

Ashraf Aly Elkoushy

Surveying and Photogrammetry

Civil Engineering Department Faculty of Engineering

Suez Canal University– Port Said – Egypt

ABSTRACT

For correlated observations an L1-norm adjustment can be achieved, if the original

observations are transformed into Helmert’s equivalent observations which are no more

correlated and posse’s unit weight as can be expected by factorial analysis. The objective

function then is related to the minimum L1-norm of the relating equivalent residuals. Thisstudy extends robust L1-norm estimation method to the case of correlated observations with

the help of factorial analysis. The properties of the solution have been investigated. Very

simple simulated example shows the applications of the proposed method. Also a real data of

a geodetic network had been studied.

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