DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

A Signal Processing Perspective 211
6. 20
Given the poles and zeros indicated in Example 6.11 and the form of the
transfer function indicated in (2.40):
(a) Determine K such that the peak magnitude frequency response in the
passband is unity.
(b) Express the transfer function in the form of (2.40) with numerical
values given for all coefficients.
(c) Frequency scale the transfer function so that and express
the new transfer function in the form of (2.40) with numerical values
given for all coefficients.
6. 21 Suppose it is desired to use a 5th-order elliptic filter with
and Using the MATLAB function ELLIPPZ,
determine the poles and zeros of an elliptic filter with the given specifications.
This will confirm the results of Example 6.12.
6. 22 Given the poles and zeros indicated in Example 6.12 and the form of the
transfer function indicated in (2.40):
(a) Determine K such that the peak magnitude frequency response in the
passband is unity.
(b) Express the transfer function in the form of (2. 40) with numerical
values given for all coefficients.
(c) Frequency scale the transfer function so that and
express the new transfer function in the form of (2. 40) with numerical
values given for all coefficients.
6. 23
6. 24
Suppose it is desired to use a 6th-order elliptic filter with
and Using the MATLAB function ELLIPPZ,
determine the poles and zeros of an elliptic filter with the given specifications.
Suppose the following filter specifications are given:
and N = 6.
(a) Determine the value of Filter Selectively for a Chebyshev Type II filter
with the given specifications.
(b) Determine the value of Filter Selectivity for a Butterworth filter with
similar specifications: and N = 6.
(c) Compare the above values with the value of the Filter Selectivity for a
Chebyshev Type I filter with similar specifications:
and N = 6.
(d) Compare the above values with the value of the Filter Selectivity for an
elliptic filter with similar specifications:
and N = 6.
Section 6. 12 Chapter 6 Problems