Title :
An efficient procedure for the design of a large class of analog and digital filters
Author :
Devleeschouwer, Eric ; Grenez, Francis
Author_Institution :
Service d´´Electr. Gen., Univ. Libre de Bruxelles, Belgium
fDate :
1/1/1992 12:00:00 AM
Abstract :
A general procedure is described for the approximation in the Chebychev sense of an arbitrary attenuation curve in the passband(s) and in the stopband(s), by an analog or digital transfer function. Both the analog and digital cases are reduced to a common optimization problem which is solved by the efficient Remez algorithm working with the transmission zeros and attenuation zeros. Some of the transmission or attenuation zeros can be fixed by the user at prescribed frequencies. Digital filters with a numerator of lower degree than the denominator can also be designed. The method has been implemented on a PC and is illustrated by some examples
Keywords :
Chebyshev approximation; band-pass filters; band-stop filters; circuit CAD; digital filters; filtering and prediction theory; optimisation; poles and zeros; transfer functions; Remez algorithm; analogue filters; arbitrary attenuation curve; attenuation zeros; design procedure; digital filters; digital transfer function; optimization problem; passband; stopband; transmission zeros; Approximation methods; Attenuation; Band pass filters; Digital filters; Filtering theory; Frequency; Linear programming; Passband; Poles and zeros; Transfer functions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
