A sinusoidal carrier signal of 1 MHz is modulated with a message signal of 100 kHz. Sketch the r

step 1 In this problem we have to draw the amplitude modulated waveform for a given carrier wave and th

A sinusoidal carrier signal of 1 MHz is modulated with a...

A sinusoidal carrier signal of $1 \mathrm{MHz}$ is modulated with a message signal of $100 \mathrm{kHz}$. Sketch the resulting waveform for two cycles of the message signal for
(a) amplitude modulation
(b) frequency modulation

Key Concepts

Carrier Signal

A carrier signal is a high-frequency periodic waveform that is used as the basis for frequency translation required in modulation. It acts as the medium which carries the information from the message signal, and its properties such as amplitude and frequency are altered according to the modulation technique applied.

Message Signal

The message signal is a lower frequency waveform that contains the actual information to be transmitted. In modulation processes, this signal is used to control certain aspects of the carrier signal, such as its amplitude in amplitude modulation or its frequency in frequency modulation.

Amplitude Modulation

Amplitude modulation is a technique in which the amplitude of the carrier signal is varied in proportion to the instantaneous amplitude of the message signal, while the frequency of the carrier remains constant. This results in a waveform where the envelope follows the shape of the message signal, and sketching this modulation involves displaying both the rapid oscillations of the carrier and the slower varying envelope of the modulating signal.

Frequency Modulation

Frequency modulation is a method where the frequency of the carrier signal is varied in accordance with the instantaneous value of the message signal, while the amplitude of the carrier remains constant. The resulting waveform shows rapid oscillations with a varying density of cycles that correspond to rises and falls in the message signal, making the waveform appear to spread or compress in time depending on the instantaneous frequency shifts.

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