CDPlayerJEW: Difference between revisions
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When an audio CD is recorded, the music has an infinite amount of data points and can be represented as a continuous function of time <math> x(t) </math>. Because a medium, such as a CD, has a finite amount of space, it will not be able to hold <math> x(t) </math> since it has an infinite amount of data. Instead, the music is sampled at intervals to create a discrete function of time <math> x(nT) </math> where <math> n </math> is an integer and <math> T </math> is the interval between samples. |
When an audio CD is recorded, the music has an infinite amount of data points and can be represented as a continuous function of time <math> x(t) </math>. Because a medium, such as a CD, has a finite amount of space, it will not be able to hold <math> x(t) </math> since it has an infinite amount of data. Instead, the music is sampled at intervals to create a discrete function of time <math> x(nT) </math> where <math> n </math> is an integer and <math> T </math> is the interval between samples. |
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This discrete signal can be represented mathematically by: |
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<center><math>\sum_{n=-\infty}^\infty x(nT) \delta (t-nT) </math> |
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</center> |
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Revision as of 15:28, 5 December 2005
How a CD Player Works
A CD player reads a dicrete set of data off a CD. In short, a CD player takes this data and sends it through a digitla to analog converter, then through a low pass filter, and finally is output through speakers. A simple diagram illustrates this below.
When an audio CD is recorded, the music has an infinite amount of data points and can be represented as a continuous function of time . Because a medium, such as a CD, has a finite amount of space, it will not be able to hold since it has an infinite amount of data. Instead, the music is sampled at intervals to create a discrete function of time where is an integer and is the interval between samples.
This discrete signal can be represented mathematically by:
- Principle author of this page: Jeffrey Wonoprabowo
- Image Player Diagram by Aric Goe or Todd Caswell (not sure which since both of them had it on their pages)