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HW10 - ECE 200 Fall 2007 Homework 10 Transmission and...

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ECE 200 – Fall 2007 – Homework 10 Transmission and Reception of Radio Signals 1. An analog multiplier chip generates an output waveform proportional to the time- domain product of two or more input signals. If the two input signals applied to the multiplier are given by ) 1000 2 ( cos ) 10 ( ) ( 1 t V t v ! = and ) 300 2 ( cos ) 1 ( ) 200 2 ( cos ) 2 ( ) 100 2 ( cos ) 3 ( ) ( 2 t V t V t V t v ! ! ! + + = , then the output will be ). ( ) ( ) ( 2 1 12 t v t v t v = (a) Calculate and sketch the power spectrum of the input signals. (b) Calculate and sketch the power spectrum of the signal at the output. 2. An AM signal is generated using the signals of the previous problem ) mod ) ( ) ( , ) ( ) ( ., . ( 2 1 signal ulating t v t v and signal carrier t v t v e i m c ! = ! = and by applying a DC offset voltage of V V DC 5 = to the modulating signal. (a) Roughly sketch the magnitude spectrum of the AM signal. (b) Calculate the signal power in Watts and dBW at each frequency and show the results on a frequency spectrum plot (i.e. power spectra in both units).
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