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ECE210
Fall 2002
3: Frequency Response and Fourier Series
,
Page 1 of 3
3: Frequency Response and Fourier Series
Objective:
The objective of this lab is to study band pass filtering and to introduce the Fourier series describing a
periodic signal as a sum of harmonic components.
PreLab:
Compute
the Fourier series representation of the following periodic signal, f(t).
That is, find a
n
such
that:
∞
f(t) =
∑
a
n
cos(n
ϖ
0
t), where
ϖ
0
= 2p/T.
Notice a
0
/2 = 0.
n = 1
A
–A
T
t
Laboratory:
Equipment
: Function generator, oscilloscope, protoboard, and wires.
Components
: 741 op amp, two 0.1μF, 1k
Ω
, 2.7k
Ω
and three 2.2k
Ω
.
Part I: Frequency Response
1.
Construct the circuit shown in Figure 31.
R = 2.2k
Ω
, C = 0.1 μF, R
a
= 1 k
Ω
, R
b
= 2.7k
Ω
.
Remember the rules for wiring up and using the 741 op amp.
They are repeated below in
Figure 32.
CH2
CH1
R
R
C
C
R
R a
R b
–
+
Figure 31
3: Frequency Response and Fourier Series
, Page 2 of 3
Pins 1 & 5 are offset null corrections
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This note was uploaded on 08/08/2009 for the course ECE 210 taught by Professor Whoever during the Fall '07 term at University of Illinois at Urbana–Champaign.
 Fall '07
 whoever
 Frequency, Signal Processing, Volt

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