Continuous-time filters - Continuous and Discrete Time Signals and Systems - page 367

7.19 Repeat Problem 7.17 for the Type II Chebyshev filter.

7.20 Design a Butterworth bandstop filter for the following specifications:

pass band I (0 ≤ξ ≤ 25 radians/s) − 4 ≤ 20 log 10 H ( ω ) ≤ 0;

stop band (100 ≤ξ ≤ 250 radians/s) 20 log 10 H ( ω ) ≤− 20;

pass band II ( ξ ≥ 325 radians/s) − 4 ≤ 20 log 10 H ( ω ) ≤ 0 .

Sketch the magnitude spectrum and confirm that it satisfies the design
specifications.

7.21 Repeat Problem 7.20 for the Type I Chebyshev filter.

7.22 Repeat Problem 7.20 for the Type II Chebyshev filter.

7.23 Determine the transfer function of the four implementations: (a) Butter-
worth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of
the lowpass filter specified in Problem 7.7 using M ATLAB . Plot the fre-
quency characteristics and confirm that the specifications are satisfied by
the designed implementations.

7.24 Determine the transfer function of the four implementations: (a) Butter-
worth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of
the lowpass filter specified in Problem 7.8 using M ATLAB . Plot the fre-
quency characteristics and confirm that the specifications are satisfied by
the designed implementations.

7.25 Determine the transfer function of the four implementations: (a) Butter-
worth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of
the highpass filter specified in Problem 7.14 using M ATLAB . Plot the
frequency characteristics and confirm that the specifications are satisfied
by the designed implementations.

7.26 Determine the transfer function of the four implementations (a) Butter-
worth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of
the bandpass filter specified in Problem 7.17 using M ATLAB . Plot the
frequency characteristics and confirm that the specifications are satisfied
by the designed implementations.

7.27 Determine the transfer function of the four implementations: (a) Butter-
worth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of
the bandstop filter specified in Problem 7.20 using M ATLAB . Plot the
frequency characteristics and confirm that the specifications are satisfied
by the designed implementations.