Title :
Maximally flat approximations to the ideal filter as hypergeometric functions
Author_Institution :
MBLE Research Laboratories, Brussels, Belgium
Abstract :
Two families of maximally flat approximations to the ideal filter can be deduced as particular cases of polynomials which are solutions of a hypergeometric equation. By studying the generalised hypergeometric function, one finds a continuous range of filter characteristics. This allows a control of the compromise to be made between the features of the transient response, the amplitude and the phase.
Keywords :
approximation theory; filters; generalised hypergeometric function; hypergeometric equation; ideal filter; maximally flat approximations; polynomials;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19710398
