The modulating signal that is the input into an FM modulator is m(t) = 2cos (10nt). a) Express the time domain expression of u(t) signal. b) Express FM signal in terms of Bessel functions. c) Sketch the frequency spectrum of the modulated signal. d) Determine the bandwidth of u(t) occupies 98% of the total power (Carson Rule) in the acquired spectrum. e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter? BPF FM m(t) u (1) Output modulator fe = 3000 Hz k=20n A = 2 fe f
The modulating signal that is the input into an FM modulator is m(t) = 2cos (10nt). a) Express the time domain expression of u(t) signal. b) Express FM signal in terms of Bessel functions. c) Sketch the frequency spectrum of the modulated signal. d) Determine the bandwidth of u(t) occupies 98% of the total power (Carson Rule) in the acquired spectrum. e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter? BPF FM m(t) u (1) Output modulator fe = 3000 Hz k=20n A = 2 fe f
Introductory Circuit Analysis (13th Edition)
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The modulating signal that is the input into an FM modulator is m(t)=2cos(10??).
a) Express the time domain expression of ?(?) signal.
b) Express FM signal in terms of Bessel functions.
c) Sketch the frequency spectrum of the modulated signal.
d) Determine the bandwidth of ?(?) occupies 98% of the total power (Carson Rule) in the acquired spectrum.
e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter?
Transcribed Image Text:The modulating signal that is the input into an FM modulator is m(t) = 2cos (10nt).
a) Express the time domain expression of u(t) signal.
b) Express FM signal in terms of Bessel functions.
c) Sketch the frequency spectrum of the modulated signal.
d) Determine the bandwidth of u(t) occupies 98% of the total power (Carson Rule) in the
acquired spectrum.
e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the
total power appears at the output of the filter?
ВPF
FM
m(t)
u (t)
Output
modulator
fe = 3000 Hz
k = 20n
Ae = 2
fe
f
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0.1711
-0.0142
1
0.4401
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2 0.1149
3 0.0196
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0.3641
0.0466
-0.2429 -0.3014
-0.1130
0.1448
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0.0584
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0.0033
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4
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0.1825
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0.0762 -0.1192
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(0.0491
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-0,2016 -0,2437 -0.1180
0.0812
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