Suppose a message signal r(t) = cos(20000mt) is angle (FM) modu- lated to form a transmitted signal ze(t) = Accos(2π fet+0(t)). If the frequency deviation Af = 2500Hz (a) (b) (c) Find the expression for the (t). Find the expression for transmitted signal ze(t). Draw the Fourier transform of re(t) for f> 0. Label all important points. Assume that Jn (B) is negligible for || > 1 if ß> 1 and if ß < 1, assume Jn (B3) is negligible for n ≥ 2.

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Parts a, b and c

Suppose a message signal r(t) = cos(20000πt) is angle (FM) modu-
lated to form a transmitted signal xe(t) = Accos(2π fet+0(t)). If the frequency deviation
Af = 2500Hz
(a)
(b)
(c)
(d)
(e)
Find the expression for the 0(t).
Find the expression for transmitted signal ze(t).
Draw the Fourier transform of e(t) for f> 0. Label all important points.
Assume that Jn (3) is negligible for || > 1 if ß >1 and if ß < 1, assume Jn (3) is
negligible for n ≥ 2.
Find the transmission bandwidth using Carson's rule.
Determine the transmission bandwidth if the frequency of the signal to be
modulated is doubled.
Transcribed Image Text:Suppose a message signal r(t) = cos(20000πt) is angle (FM) modu- lated to form a transmitted signal xe(t) = Accos(2π fet+0(t)). If the frequency deviation Af = 2500Hz (a) (b) (c) (d) (e) Find the expression for the 0(t). Find the expression for transmitted signal ze(t). Draw the Fourier transform of e(t) for f> 0. Label all important points. Assume that Jn (3) is negligible for || > 1 if ß >1 and if ß < 1, assume Jn (3) is negligible for n ≥ 2. Find the transmission bandwidth using Carson's rule. Determine the transmission bandwidth if the frequency of the signal to be modulated is doubled.
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