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Curve fitting using spline sections of different orders

N. A. Lobo
Journal / Anthology

Mathematics with Vision: Proceedings of the First International Mathematica Symposium
Year: 1995
Page range: 267-274

We plot Bit Error Rate curves to indicate the performance of a receiver. For each curve, we simulate the receiver at a set of points and then draw a line “of best fit” through them. These curves are convex and the accuracy of the points varies monotonically. Usually, the accuracy increases with curvature. We developed this program to fit curves pieced together from splines of different orders, subject to continuity relations on the derivative. We fit a sequence of splines whose order can vary monotonically to cope with the increasing or decreasing curvature. The end points of the splines can also be specified. In practice, we divide the range equally into n intervals and fit the sequence of splines to the data.

*Applied Mathematics > Numerical Methods
*Mathematics > Probability and Statistics