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

A modulating signal is a square wave, as shown in Fig. $15.14$.
The carrier wave is given by $c(t)=2 \sin (8 \pi t)$ volts.
(i) Sketch the amplitude modulated waveform
(ii) What is the modulation index?

Key Concepts

Envelope of a Modulated Wave

The envelope of an amplitude modulated wave is the curve that connects the peaks of the modulated signal. This envelope represents the instantaneous amplitude variations that mirror the shape of the modulating signal, providing a visual and analytical way to observe how well the carrier wave has been modulated.

Modulating Signal

The modulating signal, also known as the message signal, is the input signal that contains the information to be transmitted. In amplitude modulation, this lower-frequency signal changes the amplitude of the carrier wave, and can take various forms such as sine waves, square waves, or other periodically varying signals.

Modulation Index

The modulation index, or modulation depth, quantifies the extent of amplitude variation imposed on the carrier by the modulating signal. It is typically defined as the ratio of the peak amplitude of the modulating signal to the amplitude of the carrier, and is a critical parameter in determining the quality and efficiency of the AM transmission.

Amplitude Modulation

Amplitude modulation is a technique used in communication systems where the amplitude of a high-frequency carrier wave is varied in proportion to a lower-frequency modulating signal. This process allows information, typically in the form of analog or digital data, to be impressed onto the carrier wave for transmission over various media.

Carrier Wave

A carrier wave is a high-frequency sinusoidal signal that serves as the basis for transmission in amplitude modulation. Its primary role is to carry the information from the modulating signal by altering its amplitude, while its frequency remains constant during the modulation process.

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