ECE200
Homework #6
Due:
July 15
1.
Given:
V
)]
2
/
15000
2
cos(
8
)
3
/
750
2
cos(
10
)
6
/
250
2
cos(
15
8
[
)
(
p
p
p
p
p
p
+
+
+
+



=
t
t
t
t
v
a.
Plot the magnitude spectrum of v(t).
b.
Plot the phase spectrum of v(t).
c.
Plot the power spectrum in dBW.
d.
Find the power in the 2
nd
harmonic in Watts.
e.
Find the power in the 3
rd
harmonic in Watts.
f.
Find the total signal power in dBW.
g.
Calculate the power this signal would deliver to a 5K
Ω
resistor.
h.
Determine the noise power in Watts if the SNR for this signal plus noise is 40dB.
2.
a. What is the noise power in Watts if the signaltonoise ratio of the CD player is 100
dB and the signal power is 1 W?
b. Given v(t) = [8 + 6cos(2pi250t + pi/2) – 5cos(2pi500t) – 3cos(2 pi1000t – pi/4)]
Volts. What is the total signal power in dBW ?
c.
An amplifier is used to increase the strength of a signal, Vout =
(Amplification)*(Vin). Calculate the power gain in dB if the voltage amplification is
1000.
3.
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 Summer '07
 Escuti
 Signaltonoise ratio, signal power, dBw, total signal power

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