Exact determination of the natural modes of some Cauer filters by means of a standard analytical procedure
M.D. Lutovac, D. Rabrenović · IEE Proceedings - Circuits Devices and Systems · 1996
Simple analytical and exact relations for a direct determination of the natural modes of the Cauer filters of the order n = 2l3m; l, m = 0, 1, 2, ... are derived without using Jacobian elliptic functions and integral. The number of necessary floating point operations used for the computation of the natural modes by the proposed algebraic method FA, as compared with one of the most accurate and efficient algorithms suggested by Parks and Burrus FM, applied in the popular MATLAB program, shows a considerable advantage of the new method, with a figure of merit FM/FA ranging from 196 to 20 for filter orders n = 2 to n = 18.