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- Frequency domain view of downsampling-
 
- Frequency domain view of downsampling-
 
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<br>
<math>X2(w) = F(x2[n]) = F(x1[Dn])</math>
+
[[Image:derivation3.jpg]]
 
+
<br>
 
3. Example
 
3. Example
 
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<br>
 
4. Conclusion
 
4. Conclusion
 
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Revision as of 22:36, 9 October 2014

1. Introduction
Sampling is essential to convert analog signal to digital signal. In this page, I would specifically explain about downsampling.
In digital signal processing, the decimator performs decimation, which is downsampling a signal. In other words, when a digital
signal is downsampled, the signal's sampling rate would be reduced.

Intro1.jpg
2. Derivation
Derivation1.jpg
Derivation2.jpg
- Frequency domain view of downsampling-
Derivation3.jpg
3. Example
4. Conclusion

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

Dr. Paul Garrett