Automated design of twozero rational Chebychev filters
Abstract
The Rational Chebychev function is used to design ellipticcharacteristic filters. The filter has N/2 ripples in the passband but only one ripple in the stopband for all orders. As N increases from three, the result is a substantial saving in number of capacitors in the passive ladder realization of the above function as compared to that of traditional elliptic filters of the same order N. The ladder's element values can be expressed as explicit involving only the coefficients of the transfer function. These expressions can also be used for other types of filters. Numerically, the design can be carried out by a Fortran program or a set of programs on a programmable calculator. The user needs only to give the three specifications: the filter order N, the stopband zeros Z, and the passband ripple amount R sub p. The program automatically selects the starting point for the given case and proceeds. The numerical results of the above programs over a range of specifications relate the above specifications to the minimum stopband attenuation.
 Publication:

Ph.D. Thesis
 Pub Date:
 October 1981
 Bibcode:
 1981PhDT........42L
 Keywords:

 Bandpass Filters;
 Computer Aided Design;
 Computer Programs;
 Attenuation;
 Computation;
 Fortran;
 Functions (Mathematics);
 Electronics and Electrical Engineering