# A 1 MHz sinusoidal carrier is amplitude modulated by a symmetrical square wave of period 100 μs. Which of the following frequencies will not be presen

166 views
in General
closed
A 1 MHz sinusoidal carrier is amplitude modulated by a symmetrical square wave of period 100 μs. Which of the following frequencies will not be present in the modulated signal?
1. 990 kHz
2. 1010 kHz
3. 1020 kHz
4. 1030 kHz

by (48.2k points)
selected

Correct Answer - Option 3 : 1020 kHz

Concept:

Let the baseband signal or the message signal are having frequencies f1, f2, f3, etc. If the carrier signal having frequency fc is amplitude modulated by this signal, then the frequencies present in the amplitude modulated signal are as follows:

(fc ± f1), (fc ± f2), (fc ± f3) etc.

Analysis:

Given,

fc = 1000 kHz

The message signal is a symmetrical square wave and hence it will contain only the odd harmonics i.e., fm, 3fm, 5fm, etc.

$f_m=\frac{1}{100~ \mu s}=10~kHz$

∴ The modulated signal will contain:

(1000 ± 10) kHz, (1000 ± 30) kHz, etc.

We can therefore conclude that 1020 kHz will not be present in the modulated signal.