Question

QUESTION 2 [15 MARKS] Message Signal $v_m(t) = 2sin(2\pi2000t)$ Output A Output B FM Modulator Bandpass Filter Carrier Signal $v_c(t) = 8sin(2\pi800kt)$ Figure 2: FM Modulator Figure 2 illustrates a frequency modulation (FM) system. The frequency deviation sensitivity of the system is 2.4 kHz/V and the load resistance is 5 ?. (a) Determine the modulation index. [2 marks] (b) Determine the Bessel's bandwidth. [2 marks] (c) Sketch the frequency spectrum at Output A. [3 marks] (d) If the bandwidth of the bandpass filter is 10 kHz, calculate the percentage of power saving at Output B, [4 marks] (e) The frequency of the modulating signal is increased to 9.6 kHz, explain how it affects the FM modulated signal in terms of bandwidth and total power. [4 marks]

          QUESTION 2 [15 MARKS]
Message Signal
$v_m(t) = 2sin(2\pi2000t)$
Output A
Output B
FM Modulator
Bandpass Filter
Carrier Signal
$v_c(t) = 8sin(2\pi800kt)$
Figure 2: FM Modulator
Figure 2 illustrates a frequency modulation (FM) system. The frequency deviation
sensitivity of the system is 2.4 kHz/V and the load resistance is 5 ?.
(a) Determine the modulation index.
[2 marks]
(b) Determine the Bessel's bandwidth.
[2 marks]
(c) Sketch the frequency spectrum at Output A.
[3 marks]
(d) If the bandwidth of the bandpass filter is 10 kHz, calculate the percentage of power
saving at Output B,
[4 marks]
(e) The frequency of the modulating signal is increased to 9.6 kHz, explain how it
affects the FM modulated signal in terms of bandwidth and total power. [4 marks]

QUESTION 2 [15 MARKS]
Message Signal
vm(t) = 2sin(2π2000t)
Output A
Output B
FM Modulator
Bandpass Filter
Carrier Signal
vc(t) = 8sin(2π800kt)
Figure 2: FM Modulator
Figure 2 illustrates a frequency modulation (FM) system. The frequency deviation
sensitivity of the system is 2.4 kHz/V and the load resistance is 5 ?.
(a) Determine the modulation index.
[2 marks]
(b) Determine the Bessel's bandwidth.
[2 marks]
(c) Sketch the frequency spectrum at Output A.
[3 marks]
(d) If the bandwidth of the bandpass filter is 10 kHz, calculate the percentage of power
saving at Output B,
[4 marks]
(e) The frequency of the modulating signal is increased to 9.6 kHz, explain how it
affects the FM modulated signal in terms of bandwidth and total power. [4 marks]

Added by Tammy A.

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