Procedure to correct a measurement curve or a signal variation, system for carrying out the method, and use for reconstruction of the error position in railway tracks by means of geometrical relative measurements

摘要

The method involves filtering high and low frequency components of measurement values unaffected by the measurement equipment but which are undetectable by the measurement equipment because of limited resolution. The high frequency component is filtered using a function approximating to an inverse folding function. The low frequency component is filtered using the product of its Fourier function and a function which falls rapidly to null at high frequencies. The functions are selected to satisfy a stated relationship. The corrected result is obtained by adding the high frequency component to the solution of a differential equation involving integration constants defined by the signal boundary conditions.