An FM radio broadcast used a modulator with a frequency deviation sensitivity of 5KHz/V, a 2Vp – 10 kHz modulating signal, and a 10Vp – 88MHz carrier Signal , determine : (a) Actual minimum bandwidth from the Bessel function table in kHz (b) Appropriate minimum bandwidth using Carson’s rule in kHz (c) Percent Modulation (d) The FM modulated waveform carrier and significant sideband components amplitudes; NOTE: Use this format in providing your answers to this problem: VJ0=x.xx v,VJ1=x.xx v,VJn=x.xx v; where VJO is the modulated carrier amplitude, VJ1-VJn is the amplitudes in significant sideband components and the number of sidebands (n) depending on your computation. (e) The unmodulated carrier power (W) for the FM modulator assumes that the load resistance is 50 Ω f) The corresponding FM modulated waveform carrier and significant sideband components power and its total power in mW. Note: Use this format in providing your answers to this problem: PJ0=xxx.xx mW,PJ1=xxx.xx mW,PJ2=xxx.xx mW,PJn=xxx.xx mW,PT=xxx.xx mW; where PJO is the carrier power, PJ1-PJn is the power in significant sideband and PT is the total power and the number of sidebands (n) depending on yo

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An FM radio broadcast used a modulator with a frequency deviation sensitivity of 5KHz/V, a 2Vp – 10 kHz modulating signal, and a 10Vp – 88MHz carrier Signal , determine : 

(a) Actual minimum bandwidth from the Bessel function table in kHz

(b) Appropriate minimum bandwidth using Carson’s rule in kHz

(c) Percent Modulation

(d) The FM modulated waveform carrier and significant sideband components amplitudes;  NOTE: Use this format in providing your answers to this problem: VJ0=x.xx v,VJ1=x.xx v,VJn=x.xx v; where VJO is the modulated carrier amplitude, VJ1-VJn is the amplitudes in significant sideband components and the number of sidebands (n) depending on your computation. 

(e) The unmodulated carrier power (W) for the FM modulator assumes that the load resistance is 50 Ω

f) The corresponding FM modulated waveform carrier and significant sideband components power and its total power in mW.  Note: Use this format in providing your answers to this problem: PJ0=xxx.xx mW,PJ1=xxx.xx mW,PJ2=xxx.xx mW,PJn=xxx.xx mW,PT=xxx.xx mW; where PJO is the carrier power, PJ1-PJn is the power in significant sideband and PT is the total power and the number of sidebands (n) depending on your computation. 

 
Bessel Function Table
Modulating
Index
Sideband Frequency Pair
Carrier
JO
J1
J2
J3
J4
J5
J6
J7
0.00
1.00
0.25
0.98
0.50
0.94
1.00
0.77
0.44
0.11
0.02
1.50
0.51
0.56
0.23
0.06
0.01
2.00
0.22
0.58
0.35
0.13
0.03
2.40
0.00
0.52
043
0.20
0.06
0.02
2.50
-0.05
0.50
0.45
0.22
0.07
0.02
0.01
3.00
-0.26
0.34
0.49
0.31
0.13
0.04
0.01
Transcribed Image Text:Bessel Function Table Modulating Index Sideband Frequency Pair Carrier JO J1 J2 J3 J4 J5 J6 J7 0.00 1.00 0.25 0.98 0.50 0.94 1.00 0.77 0.44 0.11 0.02 1.50 0.51 0.56 0.23 0.06 0.01 2.00 0.22 0.58 0.35 0.13 0.03 2.40 0.00 0.52 043 0.20 0.06 0.02 2.50 -0.05 0.50 0.45 0.22 0.07 0.02 0.01 3.00 -0.26 0.34 0.49 0.31 0.13 0.04 0.01
Here n is not given , sO Take n=1
a) ACCording to Besel fynction, the
table
minimum Bandwid th, B = 2nFm
where n= number of side bamds.
Folne)
>lB= 20 KHZ
B= 2 fm = 2X1OK
(08)FOX n= 7 ,B= 14 Fm > B= 140KHZ
b) carson's rule,
According to
B =
2( Af + fin)
where
3.
Af = KF Am = 5 XI0 x 2 = 1OKHZ
: B= 2/ 10K+ 1OK)
>B= 40 KH2
c) / u=
Afactual
x/00%.
Afman
> / u =
JOKHZ
75 KH Z
X100.).
> /1 u = 13.3 3-/
Transcribed Image Text:Here n is not given , sO Take n=1 a) ACCording to Besel fynction, the table minimum Bandwid th, B = 2nFm where n= number of side bamds. Folne) >lB= 20 KHZ B= 2 fm = 2X1OK (08)FOX n= 7 ,B= 14 Fm > B= 140KHZ b) carson's rule, According to B = 2( Af + fin) where 3. Af = KF Am = 5 XI0 x 2 = 1OKHZ : B= 2/ 10K+ 1OK) >B= 40 KH2 c) / u= Afactual x/00%. Afman > / u = JOKHZ 75 KH Z X100.). > /1 u = 13.3 3-/
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