MATLAB Exercise 1.1: Magnitude and phase response of system H(w)

MATLAB Exercise 1.1: Let R1 = 16 kΩ and R2 = 16 kΩ.
Plot of Magnitude and phase response of the system H ( w )=−R 1
R 2 in frequency domain:
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
0.5
1
1.5
2
Frequency [Hz]
Magnitude Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
2
3
4
5
Frequency [Hz]
Phase Response
MATLAB Exercise 1.2: Let C3 = 0.033 μF and R4 = 16 kΩ
Plot of Magnitude and phase response of the system H ( w )= −1
jwR 4 C 3 in frequency domain:
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
0.5
1
1.5
2 x 104
Frequency [Hz]
Magnitude Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
1
2
3
Frequency [Hz]
Phase Response

MATLAB Exercise 1.3: Let R7 = 68 kΩ, C7 = 0.01 μF, and R8 = 470Ω.
Plot of Magnitude and phase response of the system H(w)= - R7/R8(1+ jwR7C7) in
frequency domain:
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
0
2
4
6 x 10-3
Frequency [Hz]
Magnitude Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
-1.5708
-1.5708
-1.5708
-1.5708
Frequency [Hz]
Phase Response
MATLAB Exercise 1.4:
Let wc = 100 rad/s (≈ 16 Hz), Q = 1/(sqrt2), and A = 1.
Plot of Magnitude and phase response of the system
H(w)= Kwc^2/(-w^2)+jw (wc/Q)+Awc^2 in frequency domain:
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
372.64
372.645
372.65
372.655
372.66
Frequency [Hz]
M a g n i t u d e R e s p o n s e
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
-0.2
-0.15
-0.1
-0.05
0
Frequency [Hz]
P h a s e R e s p o n s e

For wc = 50 rad/s and the value of Q, A keeping constant, plot of the magnitude and phase
response of the system
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
372.3
372.4
372.5
372.6
372.7
Frequency [Hz]
Magnitude Response
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
-0.4
-0.3
-0.2
-0.1
0
Frequency [Hz]
Phase Response
For wc = 200 rad/s and the value of Q, A keeping constant, plot of the magnitude and phase
response of the system
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
372.6585
372.659
372.6595
372.66
372.6605
Frequency [Hz]
M a g n it u d e R e s p o n s e
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
-0.08
-0.06
-0.04
-0.02
0
Frequency [Hz]
P h a s e R e s p o n s e