# HW9 - b Determine the carrier frequency c Determine the...

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ECE200 Homework#9 Due: Aug. 5 1. The signal below is a plot of the modulating signal, v m (t) , in the time domain: V )] 800 , 4 2 cos( 30 ) 600 , 3 2 cos( 10 ) 200 , 1 2 cos( 15 [ ) ( m t t t t v m p p p + + = 0 0.5 1 1.5 2 2.5 x 10 -3 -0.04 -0.03 -0.02 -0.01 0 0.01 0.02 0.03 0.04 0.05 0.06 a. Determine the DC offset required to achieve a modulation index of 0.8. After adding the DC offset from part a to the modulating signal, the signal is then multiplied by a high frequency carrier signal, V t t v c ) 000 , 800 2 cos( ) ( p = . b. Plot the magnitude spectrum of the original modulating signal. c. Plot the magnitude spectrum of the amplitude modulated signal. d. Plot the power spectrum of the amplitude modulated signal. e. Determine the signal power in the carrier, upper sideband, and lower sideband. f. Calculate the length of the antenna required to efficiently transmit this signal.

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0 0.5 1 1.5 2 2.5 x 10 -3 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 2. The signal above is an amplitude modulated signal to be transmitted. a. Determine the fundamental frequency of the original modulating signal.

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Unformatted text preview: b. Determine the carrier frequency. c. Determine the modulation index. d. Calculate the length of the antenna required to efficiently transmit this signal. e. Determine the capacitor value required in a receiver with a 6 H inductor. 3. Given am radio will broadcast only 0 3 KHz of the audio spectrum with a 200Hz guard band between stations. Determine the number of radio stations that can transmit in the 530 KHz 1650 KHz frequency range. 4. Approximate the center frequency and frequency span of the bottom screen shot below assuming it is the spectrum of the time domain signal on top. Determine the modulation index and the power in the carrier, upper sideband and lower sideband. 5. The magnitude spectrum of a signal to be modulated is shown below. Sketch the magnitude spectrum of the amplitude modulated signal transmitted at 1600 KHz. Volts 5 5 10 15 20 f(KHz)...
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HW9 - b Determine the carrier frequency c Determine the...

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