2. We know, the equation of Frequency Modulated signal, s(t) can be described as: s(t) = cos[wet + Aw m(t) dt] sw [ m(t) 4 2 (a) Now, derive the equation of s(t) for the following ramp message signal (complete the integration) Show/write the derivation on your assignment. (b) Using your derived equation, create a MATLAB program to find and plot message signal, m(t), carrier signal, and frequency modulated signal, s(t). Choose message signal frequency 1, carrier frequency 10 Hz, frequency deviation 8, and time range as 0 ≤t≤ 3. 0.5 0.5 www 0.5 1 m(t) = t 1 Message signal 1.5 Carrier signal 1.5 FM signal 1.5 2 M 2 2 2.5 2.5 2.5 3 3 3

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2. We know, the equation of Frequency Modulated signal, s(t) can be described as:
s(t) = cos[w,t + Aw | m(t)dt]
(a) Now, derive the equation of s(t) for the following ramp message signal (complete
the integration)
m(t) = t
Show/write the derivation on your assignment.
(b) Using your derived equation, create a MATLAB program to find and plot message
signal, m(t), carrier signal, and frequency modulated signal, s(t). Choose message
signal frequency 1, carrier frequency 10 Hz, frequency deviation 8, and time range as
0st< 3.
Message signal
4
2
0.5
1
1.5
2.5
3
Carrier signal
wW.wwwwwww
0.5
1
1.5
2
2.5
3
FM signal
-1
0.5
1
1.5
2.5
3
2.
Transcribed Image Text:2. We know, the equation of Frequency Modulated signal, s(t) can be described as: s(t) = cos[w,t + Aw | m(t)dt] (a) Now, derive the equation of s(t) for the following ramp message signal (complete the integration) m(t) = t Show/write the derivation on your assignment. (b) Using your derived equation, create a MATLAB program to find and plot message signal, m(t), carrier signal, and frequency modulated signal, s(t). Choose message signal frequency 1, carrier frequency 10 Hz, frequency deviation 8, and time range as 0st< 3. Message signal 4 2 0.5 1 1.5 2.5 3 Carrier signal wW.wwwwwww 0.5 1 1.5 2 2.5 3 FM signal -1 0.5 1 1.5 2.5 3 2.
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