Communication System Question 3

Question 3 - 25 January - Shift 1

A message signal of frequency $5 kHz$ is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:

(1) $5 kHz$

(2) $20 kHz$

(3) $10 kHz$

(4) $2.5 kHz$

Show Answer

Answer: (3)

Solution:

Formula: Band width

Given

Signal frequency $f_m=5 kHz$

Carrier wave frequency $f_c=2 MHz$

$f_c=2000 KHz$

The resultant signal will have band width of frequency given by

$[(f_c+f_m)-(f_c-f_m)]$

$\Rightarrow[(2000+5)-(2000-5)] kHz$

$\Rightarrow 10 kHz$