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464
MICROWAVE AND RF DESIGN
HOMEWORK 1
Do problems 1.1 through 1.4 in conjunction with Lecture M1 L1.
Do problems 1.5 through 1.7 in conjunction with Lecture M1 L2.
1.1 The PeakToAverage Ratio (PAR) of a signal is an important parameter in
determining the eﬃciency that can be achieved by an ampliﬁer with an allowable
amount of distortion. The following questions are about determining the PAR of
various signals. Note that the average power level is not necessarily the average
of the minimum and maximum power levels. A full power calculation and integral
should be performed. [WS3]
a. Write down a formula for the power of a signal
x
(
t
). You can consider
x
(
t
) to
be a voltage across a 1 Ω resistor.
b. What is the PAR of an FM modulated signal at 1 GHz with a maximum
modulated frequency deviation of
±
10 kHz?
c. What is the PAR of a twotone signal (consisting of two sinewaves at diﬀerent
frequencies that are say 1% apart)? First use a symbolic expression and then
consider the special case when the two amplitudes are equal. Consider that the
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This note was uploaded on 09/24/2009 for the course ECE 549 taught by Professor As during the Fall '09 term at N.C. State.
 Fall '09
 AS

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