
Q:
Determine
the
first
4
harmonics
(amplitude
and
frequency)
for
the
sample
pulse
and
the
sampled
output
(for
f=5000
and
4=1000).
A:
Sample
Pulse
:
f
s
=
5000
Hz,
T
=
1/f
=
0.0002
sec,
x
=
(0.00Q2)(.5)
=
0
.0001,
A
=
2.5
V
Using
the
equation
for
a
square
wave:
.4111
V
=
4
—
(sino*
+
—
sin3<i)f
+
—
sin5o)/
+
—
sin7o*)
A
3
5
7
Amp
Freq
1st
harmonic:
1.593
5000
2nd
harmonic:
.5300
15000
3rd
harmonic:
.1777
25000
4th
harmonic:
.0590
35000
Sampled
Signal
:
f
s
=
N
f
OJ
N
=
samples/cycle
=
5000/1000
=
5,
f
0
=
1000
Hz,
T
=
l/f
0
=0.001
sec,
A
m
=
5V,
Ap
=
5V,n
=
harmonic
#
=
1,
2,
3,
4
Using
the
equation
for
a
naturally
sampled
sine
wave:
Lab
2
Solutions
Page
2
44
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