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== Data Modulation ==
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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.
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• Delta modulation
 
• Delta modulation
  
Another 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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A practical analog-to-digital conversion technique is delta modulation, whose output is a binary bit sequence, each consisting of either 0 or 1.
  
 
[[File:LOl12341.png]]
 
[[File:LOl12341.png]]
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between minimizing slope-overload distortion and granular noise
 
between minimizing slope-overload distortion and granular noise
  
• One solution is to reduce 𝑇𝑇𝑠𝑠, but this increases transmission rate
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• One solution is to reduce 𝑇𝑠, but this increases transmission rate

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.

LOl12341.png

• Delta modulator at transmitter

22223.png

• At receiver, the signal can be approximately reconstructed as

72223.png

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

82223.png

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

92223.png


• 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

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva