(a) State Carson's rule relating the number of sidebands to the peak frequency deviation Av and the modulating frequency Vm in frequency modulation. (b) An FM signal has a peak frequency deviation of 75 kHz and a carrier frequency of 10 MHz. What is the maximum bandwidth given by Carson's rule if the modulating signal is a sinusoid of frequency 1.0 kHz? (c) Reception of such a frequency modulated signal often involves the use of a discrim- inator. A simple discriminator can be obtained using an FIR filter consisting of the difference between two taps with a time delay T between them. What is the frequency transfer function of this filter?

(a) State Carson's rule relating the number of sidebands to the peak frequency deviation Av and the modulating frequency Vm in frequency modulation. (b) An FM signal has a peak frequency deviation of 75 kHz and a carrier frequency of 10 MHz. What is the maximum bandwidth given by Carson's rule if the modulating signal is a sinusoid of frequency 1.0 kHz? (c) Reception of such a frequency modulated signal often involves the use of a discrim- inator. A simple discriminator can be obtained using an FIR filter consisting of the difference between two taps with a time delay T between them. What is the frequency transfer function of this filter?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Problem 5. A carrier wave of frequency 20 MHz is frequency-modulated by a sine-wave of amplitude 2 volts and frequency 4 kHz. The frequency sensitivity of the modulator is 10 kHz per volt. a) Determine the approximate bandwidth of the FM wave using Carson's rule. b) Repeat part (a) assuming that the amplitude of the modulating wave is doubled. c) Repeat part (a) assuming that the modulation frequency is doubled.
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Q2. For the scheme shown in Figure Q2, Draw the spectrum of the baseband signal (multiplexer output) for the multiplexer. Determine the bandwidth of the baseband signal (multiplexer output) for the multiplexer. Determine the minimum transmission bandwidth of the multiplexer. Explain, briefly, the modification needed for the multiplexer in the figure to achieve this bandwidth. i. ii. ii. 4 kHz cos 10,000xt Baseband signal 2 kHz cos 24,000nt cos 2000nt cos 32,000nt Figure Q2
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