# HW1 - 464 MICROWAVE AND RF DESIGN HOMEWORK 1 Do problems...

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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 Peak-To-Average 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 two-tone 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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