Q1 A signal m(t) = 2 cos ( 2n 10° t) frequency modulates (FM) a 1 MHz carrier to produce a (peak) frequency deviation of 4 kHz. Write the time-domain expression for the resulting FM signal pdt)? What is the value of the frequency deviation constant k? What is the bandwidth of the FM signal? Q2 An angle modulated signal is given by the following expression: OEMt) = 5 cos (@t+40 sin 500rt + 20 sin 1000nt + 10sin 2000nt) a Determine the (peak) frequency deviation 4f, in Hz. b. Estimate the bandwidth, in Hz, of the angle modulated signal by Carson's rule. C. .If the angle modulated signal is a phase modulated signal with the phase deviation constant, k, is 5 radians per volt, determine the message signal m (t). d. If the angle modulated signal is a frequency modulated signal with a frequency deviation constant, k is 20,000 rradians/sec per volt, determine the message signal m(t). 12

Q1 A signal m(t) = 2 cos ( 2n 10° t) frequency modulates (FM) a 1 MHz carrier to produce a (peak) frequency deviation of 4 kHz. Write the time-domain expression for the resulting FM signal pdt)? What is the value of the frequency deviation constant k? What is the bandwidth of the FM signal? Q2 An angle modulated signal is given by the following expression: OEMt) = 5 cos (@t+40 sin 500rt + 20 sin 1000nt + 10sin 2000nt) a Determine the (peak) frequency deviation 4f, in Hz. b. Estimate the bandwidth, in Hz, of the angle modulated signal by Carson's rule. C. .If the angle modulated signal is a phase modulated signal with the phase deviation constant, k, is 5 radians per volt, determine the message signal m (t). d. If the angle modulated signal is a frequency modulated signal with a frequency deviation constant, k is 20,000 rradians/sec per volt, determine the message signal m(t). 12

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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Concept explainers

Frequency Modulation

Frequency modulation is a method or process of encoding the data of a specific signal (analog or digital) by modulating the carrier wave frequency according to the frequency of the modulated signal. Modulated signals are nothing more than information or data that should be conveyed after being converted into electronic signals.

Question

Q1
A signal m(t) = 2 cos ( 2n 10° t) frequency modulates (FM) a 1 MHz carrier to produce a (peak)
frequency deviation of 4 kHz. Write the time-domain expression for the resulting FM signal pndt)?
What is the value of the frequency deviation constant k? What is the bandwidth of the FM signal?
Q2
An angle modulated signal is given by the following expression:
OEMt) = 5 cos (@t+ 40 sin 500rt + 20 sin 1000nt + 10sin 2000nt)
a. Determine the (peak) frequency deviation 4f, in Hz.
b. Estimate the bandwidth, in Hz, of the angle modulated signal by Carson's rule.
C. .If the angle modulated signal is a phase modulated signal with the phase deviation constant, k, is 5
radians per volt, determine the message signal m (t).
d. If the angle modulated signal is a frequency modulated signal with a frequency deviation constant, k
is 20,000 rradians/sec per volt, determine the message signal m(t).
12
Q3
A message signal m(t) = 4 cos 2x 1000t modulates a carrier frequency to produce a frequency
mođulated signal with a resulting modulation index (i.e. frequency deviation ratio) of 2.
(a) What is the estimate of the bandwidth of the FM signal ?
O) The message signal m(t) is replaced by a new message signal
m(t) = 4 cos 2x 1000t + 4 cos 2n 3000t
What is the estimate of the bandwidth of this new FM signal?
(c) The message signal m(t) is replaced by a new message signal
m(t) - 4 cos 2n 3000t
What is the estimate of the bandwidth of this new FM signal?
Use Carson's rule in determining the bandwidth of FM signals.

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