Radial basis function transforms and their use in signal processing

A variety of standard basis functions have long been used for characterizing signals including Fourier, Walsh, Haar, and Slant. Optimum Karhunen-Loeve basis functions derived from correlation data can also be used. Radial basis functions are a new type. They are based on actual data rather than predefined or generated sets. This paper relates radial basis functions and standard basis functions. It reviews how they are derived and illustrates their broad use with EKG and stock market examples. They have great utility and may become as common as their standard predecessors.