roportional to the amplitude and polarity of the modulating signal.Thus, the eneral expression of any base-band signal frequency modulated onto a carrier an be written as: V EM (1) = Ec cos @ct +k;|V„(t)dt Illustrate how the modulated signal (VEy) would be generated in the FM modulation if the modulating signal is V = 10cos(27) FM a sinusoidal signal of m i) Identify the peak frequency ii) Identify the modulation index v) Analyze the side frequencies in FM modulation

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Just Analyze the side frequencies in FM modulation (iv)

In FM modulation, the magnitude and direction of the frequency shift (A@) is
proportional to the amplitude and polarity of the modulating signal.Thus, the
general expression of any base-band signal frequency modulated onto a carrier
can be written as: VEM (t) = Ec cos oct +k,V,(t)dt
(i)
Illustrate how the modulated signal (Vy) would be generated in the FM
modulation if the modulating signal is
V, =10 cos(2t)
a sinusoidal signal of
m
(ii)
Identify the peak frequency
(iii) Identify the modulation index
(iv) Analyze the side frequencies in FM modulation
Transcribed Image Text:In FM modulation, the magnitude and direction of the frequency shift (A@) is proportional to the amplitude and polarity of the modulating signal.Thus, the general expression of any base-band signal frequency modulated onto a carrier can be written as: VEM (t) = Ec cos oct +k,V,(t)dt (i) Illustrate how the modulated signal (Vy) would be generated in the FM modulation if the modulating signal is V, =10 cos(2t) a sinusoidal signal of m (ii) Identify the peak frequency (iii) Identify the modulation index (iv) Analyze the side frequencies in FM modulation
Vrm) =
Ec cos(aet + kfJ im (t)dt)
1ocos caTTt)
sin(a1it)
Sutidt : ) sinlan e)
fc cofwet + SKE sinamt)Ano
sinlane)
Fim
(1)
Fc t
SkF
fct skF cos (ant
fc +
skF
IT
111)
DF =
SkF
Fm : )
DE
skF
Fm
And
By modula tion index
Transcribed Image Text:Vrm) = Ec cos(aet + kfJ im (t)dt) 1ocos caTTt) sin(a1it) Sutidt : ) sinlan e) fc cofwet + SKE sinamt)Ano sinlane) Fim (1) Fc t SkF fct skF cos (ant fc + skF IT 111) DF = SkF Fm : ) DE skF Fm And By modula tion index
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