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Solution of ECE 315 Test #13 F02
(Closed Book and Notes, 3 by 5 Card, Calculator, 20 minutes)
If any question or problem is incomplete, ambiguous or contradictory, explain why. If you
are correct you will receive full credit on that question or problem.
Below are some active filters and some asymptotic magnitude Bode diagrams of frequency
V ( jω )
responses, o
. For each filter find the magnitude Bode plot that matches it. If there
Vi ( jω )
is no match just write “none” (2 pts each).
Single-Pole Highpass, C
Single-Pole Lowpass, D
Rf
Cs
Two-Pole Highpass, A
R1
Rf
C1
Rs
+
vi (t)
+
+
vo(t)
R2
-
vo(t)
-
-
K
vx(t)
vi (t)
+
vi (t)
vo(t)
-
C2
+
Cf
Rs
+
-
-
Two-Pole Lowpass, E
Differentiator, B
C1
R1
if(t)
R2
K
+
vx(t)
vi (t)
+
vo(t)
C2
-
Rf
i i(t) C i
+
vi (t)
-
vx(t)
+
vo(t)
-
A
-
B
|H( jω) |
|H( jω) |
C
Slope of 6 dB/octave
or 20 dB/decade
|H( jω) |
ω
ω
Slope of 6 dB/octave
or 20 dB/decade
ω
Slope of 6 dB/octave
or 20 dB/decade
Slope of 12 dB/octave
or 40 dB/decade
D
E
|H( jω) |
|H( jω) |
ω
Slope of -6 dB/octave
or -20 dB/decade
ω
Slope of -6 dB/octave
or -20 dB/decade
Slope of -12 dB/octave
or -40 dB/decade