Frequency Response Worksheet Page 2
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2
3MATLAB Problems (Extra Credit):
Put all problems in a single MATLAB program with an initial block of comments (name, course assignment
number, etc) and add a comment identifying each part. Include a printout of the program and the output. Check
your results to make sure that they are correct.
1)
Plot the exact LM and phase plots for G
(s), G
(s) and G
(s) using MATLAB. Use the abs( ) and angle( )
3
4
5
functions in MATLAB, not tf( ) and bode( ). Include a printout of both the graph and the spreadsheet,
equations, etc., used to produce the graph. Compare the graphs to the Bode plots generated by hand in
problems 2 and 3.
2)
Repeat the previous step except use the tf( ) and bode( ) functions in MATLAB, not abs( ) and angle( ).
The results should match with the previous step.
Selected Answers:
R
L
14.3) a)
H(s) =
b) H(jw)
occurs when w = 0
R + R
max
l
s +
L
R
l
c)
H(jw)
=
d)
C
max
R + R
l
e)
w
= 20,200 rad/s
c
H(j0) = 0.6287 / 0
H(jw
) = H(j20,200) = 0.4446 / -45
c
H(j0.3w
) = H(j6060) = 0.6022 / -16.70
c
H(j3w
) = H(j60,600) = 0.1988 / -71.57
c
14.4) a)
w
= 10,000 rad/s, f
= 1591.55 Hz
c
c
10,000
b)
H(jw)
=
10,000
jw
H(jw
) = H(j10,000) = 0.7071 / -45
c
H(j0.1w
) = H(j1000) = 0.9950 / -5.71
c
H(j10w
) = H(j100,000) = 0.0995 / -84.29
c
1
RC
14.7) a)
H(s)
=
b) H(jw)
occurs when w = 0
R
+
R
max
L
s
+
RR
C
L
1
R
R
L
w
=
1
c)
H(jw)
=
d)
C
max
R
+
R
RC
R
L
L
e)
w
= 11,000 rad/s
c
H(j0) = 0.9091 / 0
H(jw
) = H(j11,000) = 0.6428 / -45
c
H(j0.1w
) = H(j1,100) = 0.9046 / -5.71
c
H(j10w
) = H(j110,000) = 0.0905 / -84.29
c
2
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