3. A Frequency Modulation (FM) modulator has been designed based on your matric number
identification (ID). As such, you need to use the digits in your matric number to answer
this question. For example, if your matric number is Aabcdef, your first three digits are:
'abc', while your final three digits are 'def".
The FM transmitter has a carrier frequency of 'abc'. It's modulation index is the smaller,
non zero number between 'd' and 'e', with a modulating frequency of 5 Khz. The total
power output is 'lef' into a 40 $\Omega$ load.
(a) Calculate both the root mean square (rms) and peak of the transmitted voltage, VT.
(10 marks)
(b) What is the bandwidth of this signal, computed using Bessel's theory according to
the criterion used in 3(a)?
(10 marks)
(c) By using Carson's rule, calculate the bandwidth of this signal.
(5 marks)
(d) From the answer you calculated in (c), make a deduction of your findings based on
the knowledge that you have learned from FM power components analysis.
(10 marks)
