A Well-conditioned Cubic B-spline Model for Processing Laser Anemometry Data

Abstract

A well-conditioned method for processing laser anemometry data is presented. It involves the use of a cubic b-spline model which is suitably arranged to take into account the effects of ill-conditioning as well as data sampling and truncation. The problem of ill-conditioning is analysed in terms of the eigenfunctions and eigenvalues of the equation and the resulting loss of information is expressed in terms of resolution limitations which are easily incorporated within such a model. The method is applied to various sets of simulated and experimentally determined data and the results are discussed. The range of application includes the analysis of data obtained from anemometry experiments which employ frequency shifting techniques.