SMOOTHING BY ORTHOGONAL POLYNOMIALS TO OBTAIN VELOCITY DATA FROM POSITION DATA

摘要

A procedure is presented for obtaining velocity data from position data. The position data are smoothed using orthogonal polynomial tech­niques introduced by Charles Jordan and R. A. Fischer. The smoothing procedure is a moving arc type for an arbitrary spread of points N. Using the F-distribution, the degree n of the orthogonal polynomials to be used in the smoothing is determined by the data.