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Summary

The aim of this project is to explain what Modulation and Demodulation are and to show how a signal can be both modulated and demodulated using different methods. I will also attempt to show how these methods are used in real world scenarios

Modulation

This is the process of varying the properties of a specific waveform, also called the carrier signal, using a modulating signal that contains information that is trying to be transmitted. This allows for the signal to be transmitted over an electronic medium. In the real world modulation is used to send radio signals and other TV signals as well.

Below is the general form for how a signal is modulated. Keep in mind that when there is a specific frequency channel specified, a Bandpass filter must be added at the end of the pulse train example in order to get the proper modulated signal.

Modulation.jpg


Demodulation

This is the process of extracting the original information out from the modulated signal. This will allow for a person to grab the proper information from the transmitted modulated signal.

Below are examples of how to modulate a general signal in terms of sinusoidal, exponential and pulse train. Keep in mind that when there is a specific frequency channel specified, a Bandpass filter must be added in before multiplying by the carrier. For Pulse Train specifically, a sinusoidal carrier must be multiplied after the bandpass filter and before the low pass filter. Also, a signal that was shifted to begin with, must be shifted after filtering as well in order to maintain the proper information.

Exponential Carrier

DemodExp.jpg

Sinusoidal Carrier

DemodCosCos.jpg

Pulse-Train Carrier

DemodPulse.jpg

In the real world modulation and demodulation is used everywhere.Although not as simple as the above examples, they use the same principle to create signals that can be properly sent. In order to send specific channel information for a specific network, or for a certain radio frequency to be played on a specific channel, it is all done through modulation. Even your Wi-Fi signal is transmitted through a modem. The modem is a modulator and a demodulator in and of itself, hence the name Mo(modulation)Dem(demodulation). As signals are used everywhere in todays world from transmitting music to even sending confidential files securely, a modulation and demodulation technique can be seen in all of them.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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