DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

A Signal Processing Perspective 191
which is valid for all N.
Example 6. 3
Suppose the following design specifications for an elliptic filter are given:
It can be shown that an of 1. 3461 will yield equality in (6. 23) with
The complete elliptic integral values are:
and A plot of (6. 1) using (6. 23) ( q = 1) is shown in
Figure 6.9.
For the remainder of this section, it is assumed that (6.23) is satisfied. Note
that magnitude-squared response peaks occur in the passband when (6.2) is zero. The
frequencies of the response peaks may be found as follows. Observe from Figure 6. 4
that is zero when or,
substituting (6. 23),
Section 6. 3 Equiripple Passband and Stopband Magnitude