(a) State Carson's rule relating the number of sidebands to the peak frequency deviation Av and the modulating frequency Vm in frequency modulation. (b) An FM signal has a peak frequency deviation of 75 kHz and a carrier frequency of 10 MHz. What is the maximum bandwidth given by Carson's rule if the modulating signal is a sinusoid of frequency 1.0 kHz? (c) Reception of such a frequency modulated signal often involves the use of a discrim- inator. A simple discriminator can be obtained using an FIR filter consisting of the difference between two taps with a time delay T between them. What is the frequency transfer function of this filter?

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Q3.
(a) State Carson's rule relating the number of sidebands to the peak frequency deviation
Av and the modulating frequency Vm in frequency modulation.
(b) An FM signal has a peak frequency deviation of 75 kHz and a carrier frequency of
10 MHz. What is the maximum bandwidth given by Carson's rule if the modulating
signal is a sinusoid of frequency 1.0 kHz?
(c) Reception of such a frequency modulated signal often involves the use of a discrim-
inator. A simple discriminator can be obtained using an FIR filter consisting of the
difference between two taps with a time delay T between them. What is the frequency
transfer function of this filter?
(d) Sketch the modulus of the frequency transfer function of this filter.
(e) What are the requirements on the value of time delay T in order to use this discriminator
in the demodulation of the given FM signal?
Transcribed Image Text:Q3. (a) State Carson's rule relating the number of sidebands to the peak frequency deviation Av and the modulating frequency Vm in frequency modulation. (b) An FM signal has a peak frequency deviation of 75 kHz and a carrier frequency of 10 MHz. What is the maximum bandwidth given by Carson's rule if the modulating signal is a sinusoid of frequency 1.0 kHz? (c) Reception of such a frequency modulated signal often involves the use of a discrim- inator. A simple discriminator can be obtained using an FIR filter consisting of the difference between two taps with a time delay T between them. What is the frequency transfer function of this filter? (d) Sketch the modulus of the frequency transfer function of this filter. (e) What are the requirements on the value of time delay T in order to use this discriminator in the demodulation of the given FM signal?
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