2. a) Consider a single tone message with frequency fm (double-sideband) modulated carrier of frequency fe A = 2, i.e. g(t) = 2 cos(2nfet) cos(2nfmt). b) = 90 Hz and an AM-DSB 100 MHz and amplitude i) Find the total signal power. See the formula sheet for a decomposition of the product of two cosines. ii) The communication channel allows this signal to pass through as it is, but adds noise onto it. If the noise power Pn 0.5, what is the signal-to-noise = ratio of the received signal? TIMOL -10 kHz 0 10 kHz Figure Q2b. The amplitude spectrum |M(f) of the message signal. A message signal has the above amplitude spectrum. i) What is the message bandwidth? ii) What is the minimum channel bandwidth required for an AM double side- band (DSB) modulated carrier for this message signal? c) List the essential elements of any communication system and describe their functionality.
2. a) Consider a single tone message with frequency fm (double-sideband) modulated carrier of frequency fe A = 2, i.e. g(t) = 2 cos(2nfet) cos(2nfmt). b) = 90 Hz and an AM-DSB 100 MHz and amplitude i) Find the total signal power. See the formula sheet for a decomposition of the product of two cosines. ii) The communication channel allows this signal to pass through as it is, but adds noise onto it. If the noise power Pn 0.5, what is the signal-to-noise = ratio of the received signal? TIMOL -10 kHz 0 10 kHz Figure Q2b. The amplitude spectrum |M(f) of the message signal. A message signal has the above amplitude spectrum. i) What is the message bandwidth? ii) What is the minimum channel bandwidth required for an AM double side- band (DSB) modulated carrier for this message signal? c) List the essential elements of any communication system and describe their functionality.
Introductory Circuit Analysis (13th Edition)
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I’m struggling with question 2 a b c
![2. a) Consider a single tone message with frequency fm
b)
= 90 Hz and an AM-DSB
(double-sideband) modulated carrier of frequency fe = 100 MHz and amplitude
A = 2, i.e. g(t) = 2 cos(2nfet) cos(2nfmt).
i) Find the total signal power. See the formula sheet for a decomposition of the
product of two cosines.
ii) The communication channel allows this signal to pass through as it is, but
adds noise onto it. If the noise power P = 0.5, what is the signal-to-noise
ratio of the received signal?
TIMOI
-10 kHz 0 10 kHz
Figure Q2b. The amplitude spectrum |M(f) of the message signal.
A message signal has the above amplitude spectrum.
i) What is the message bandwidth?
ii)
What is the minimum channel bandwidth required for an AM double side-
band (DSB) modulated carrier for this message signal?
c) List the essential elements of any communication system and describe their
functionality.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b5a8aad-aee4-4e06-a5a0-ea3c8b1c905d%2F43069ed4-c43f-40fa-b433-014bc70f3747%2Fhp2vqzr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. a) Consider a single tone message with frequency fm
b)
= 90 Hz and an AM-DSB
(double-sideband) modulated carrier of frequency fe = 100 MHz and amplitude
A = 2, i.e. g(t) = 2 cos(2nfet) cos(2nfmt).
i) Find the total signal power. See the formula sheet for a decomposition of the
product of two cosines.
ii) The communication channel allows this signal to pass through as it is, but
adds noise onto it. If the noise power P = 0.5, what is the signal-to-noise
ratio of the received signal?
TIMOI
-10 kHz 0 10 kHz
Figure Q2b. The amplitude spectrum |M(f) of the message signal.
A message signal has the above amplitude spectrum.
i) What is the message bandwidth?
ii)
What is the minimum channel bandwidth required for an AM double side-
band (DSB) modulated carrier for this message signal?
c) List the essential elements of any communication system and describe their
functionality.
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