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== Data Modulation ==
 
In real life, speakers cannot play signals that are in the digital form. In order to play a sound, a physical voltage must be sent to the speakers. However, most soundtracks are now save in digital form in industry, a DAC, digital-to-analog converter, is needed in virtually every device that can produce a sound. In this page, i will introduce a type of DAC technique, whose name is Delta modulation, that is used in real life.  
 
In real life, speakers cannot play signals that are in the digital form. In order to play a sound, a physical voltage must be sent to the speakers. However, most soundtracks are now save in digital form in industry, a DAC, digital-to-analog converter, is needed in virtually every device that can produce a sound. In this page, i will introduce a type of DAC technique, whose name is Delta modulation, that is used in real life.  
  

Latest revision as of 22:51, 2 December 2017

Data Modulation

In real life, speakers cannot play signals that are in the digital form. In order to play a sound, a physical voltage must be sent to the speakers. However, most soundtracks are now save in digital form in industry, a DAC, digital-to-analog converter, is needed in virtually every device that can produce a sound. In this page, i will introduce a type of DAC technique, whose name is Delta modulation, that is used in real life.

• Delta modulation

A practical analog-to-digital conversion technique is delta modulation, whose output is a binary bit sequence, each consisting of either 0 or 1.

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• Delta modulator at transmitter

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• At receiver, the signal can be approximately reconstructed as

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• Two types of distortions: slope-overload distortion and granular noise

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• To avoid slope-overload distortion, we need to have

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• On the other hand, to reduce granular noise, it is desirable to have smaller ∆

• Thus, there is a trade-off in selecting large or small step size ∆ to balance between minimizing slope-overload distortion and granular noise

• One solution is to reduce 𝑇𝑠, but this increases transmission rate

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