Abstract

The purpose of the present invention is to process offset measurement data with a simple calculation. Provided is a measurement data standing wave component extraction method which extracts a standing wave component from measurement data. The measurement data is data of n elements which are measured in prescribed space or time intervals, and expressed with an n-dimensional vector x. The method comprises a matrix computation step of computing an n-dimensional eigenspace matrix Si (where i is an integer greater than or equal to 1 and less than or equal to n), and an extraction step of computing the product of the eigenspace matrix Si and the vector x and extracting from the measurement data the ith longest standing wave component Six. In the matrix computation step, Si,(j,k), the (i,k) component of the eigenspace matrix Si, is computed with the following formula: Si,(j,k) = (2/(n+1)) × sin(iπj/(n+1)) × sin(iπk/(n+1))

IPC Classes  ?

• G06F 17/10 - Complex mathematical operations
• E01B 35/02 - Applications of measuring apparatus or devices for track-building purposes for laying-out curves
• G01B 21/00 - Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant