n the class, we have learned a single tone FM modulation. or the single tone for the two tone signals. Here, note that The given two-tone signal is m(t) = cos(2r1000c; t) + cos(2?

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In the class, we have learned a single tone FM modulation. Here, we will use the derivations
for the single tone for the two tone signals. Here, note that the overall signal is also periodic.
The given two-tone signal is
m(t) = cos(2π1000c1t) + cos(2π2000c1t)
(a) (5 Pts.) Obtain the baseband signal of the FM modulated signal with fc = 100 MHz.
(b) (5 Pts.) Determine the FM BW of this signal via Carson’s rule and graph given in FM
Lecture for ∆f = 75 kHz.
(c) (10 Pts.) Obtain the power levels of the harmonics of the message signal by using
Bessel function expression. Here you will need to attempt to use the findings from the
single tone FM.

 

***Please solve all parts of the given question.***

Question 1 (20 points, FM):
In the class, we have learned a single tone FM modulation. Here, we will use the derivations
for the single tone for the two tone signals. Here, note that the overall signal is also periodic.
The given two-tone signal is
m(t) = cos(2r1000ct) + cos(2m2000c,t)
(a) (5 Pts.) Obtain the baseband signal of the FM modulated signal with fe = 100 MHz.
(b) (5 Pts.) Determine the FM BW of this signal via Carson's rule and graph given in FM
Lecture for Af = 75 kHz.
%3D
(c) (10 Pts.) Obtain the power levels of the harmonics of the message signal by using
Bessel function expression. Here you will need to attempt to use the findings from the
single tone FM.
Transcribed Image Text:Question 1 (20 points, FM): In the class, we have learned a single tone FM modulation. Here, we will use the derivations for the single tone for the two tone signals. Here, note that the overall signal is also periodic. The given two-tone signal is m(t) = cos(2r1000ct) + cos(2m2000c,t) (a) (5 Pts.) Obtain the baseband signal of the FM modulated signal with fe = 100 MHz. (b) (5 Pts.) Determine the FM BW of this signal via Carson's rule and graph given in FM Lecture for Af = 75 kHz. %3D (c) (10 Pts.) Obtain the power levels of the harmonics of the message signal by using Bessel function expression. Here you will need to attempt to use the findings from the single tone FM.
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