An FM signal, c_FM = 450 sin (3 pi times 10^8 t + 4 sin 3 pi times 10^4 t), is a

Question

An FM signal, c_FM = 450 sin (3 pi times 10^8 t + 4 sin 3 pi times 10^4 t), is applied to a 50- Ohm load. Using Bessel function analysis, determine a) carrier signal frequency, f_c b) modulating (intelligence) signal frequency, f_i c) modulating index, m_f d) deviation, delta e) number of sets of significant side frequencies f) relative amplitude of these frequencies g) sketch the frequency spectrum showing their relative magnitudes h) bandwidth using Bessel function analysis i) bandwidth using Carson's Rule

Explanation / Answer

Comparing the given equation with the standard FM wave equation

s(t)=Accos[2fct+mfsin(2fit)]

2fc=3*105,2fm=3*104, mf=4

That is

a) fc=150 KH

b) fi=15 KHz

c) mf=4

d) mf=/fi

so =4*15KHz=60 kHz

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