Continuous polynomial approximation

The continuous polynomial approximation (CPA) algorithm fits a concatenation of polynomial curves to discrete data. The resulting curve passes through every data point and has continuous derivatives everywhere. The algorithm is capable of obtaining a curve with continuous derivatives of any order, although the complexity increases as the number of continuous derivatives increase. A derivation of the algorithm is followed by application of the CPA to approximation of a cumulative distribution function (CDF) and probability density function (PDF) of random data, which are required in some communication receivers employing nonlinear processors. The authors demonstrate that for some applications endpoint problems may be resolved