Estimation of track lateral alignment based on function approximation by Sinc function and numerical Fourier transform.

Abstract

This paper proposes a numerical method to estimate track lateral alignment. The estimation of the track lateral alignmentisformulatedastheproblemoffindinganapproximatesolutiontoafunctionalequation, andtheSincfunction approximation, which has been studied in the field of numerical analysis, and the Fourier transform approximation based on numerical integration methods are utilized to construct the approximate solution. In particular, our newly proposed method directly deals with the singularity in the frequency transfer function involved in the estimation.