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a modulating signal is a square wave as shown in...

Question:
A modulating signal is a square wave, as shown in Fig. 15.14.

The carrier wave is given by

(i) Sketch the amplitude modulated waveform

(ii) What is the modulation index?

Answer:

It can be observed from the given modulating signal that the amplitude of the modulating signal, A_m = 1 V

It is given that the carrier wave c (t) = 2 sin (8πt)

Therefore, Amplitude of the carrier wave, A_c = 2 V

Time period of the modulating signal T _m = 1 s

The angular frequency of the modulating signal is calculated as: ω_m = 2π/T_m

= 2π rad s^-1.......(i)

The angular frequency of the carrier signal is calculated as: ω_c= 8π rad s^-1....(ii)

From equations (i) and (ii), we get:

= ω_c= 4ω_m

The amplitude modulated waveform of the modulating signal is shown in the following figure.

( ii ) Modulation index, m = A_m/A_c = 1/2 = 0.5

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Question:
A modulating signal is a square wave, as shown in Fig. 15.14.

The carrier wave is given by

(i) Sketch the amplitude modulated waveform

(ii) What is the modulation index?

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Question: A modulating signal is a square wave, as shown in Fig. 15.14. The carrier wave is given by (i) Sketch the amplitude modulated waveform (ii) What is the modulation index?

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Question:
A modulating signal is a square wave, as shown in Fig. 15.14.

The carrier wave is given by

(i) Sketch the amplitude modulated waveform

(ii) What is the modulation index?