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'''Theory'''<br> Upsampling in the frequency domain<br> <br>&nbsp; [[Image:Theroy.jpg]] &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;'''or '''&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [[Image:CodeCogsEqn.jpg]]  
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'''Theory'''<br> Upsampling in the frequency domain. It can be obtain in two different ways.<br> <br>&nbsp; [[Image:Theroy.jpg]] &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;'''or '''&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; [[Image:CodeCogsEqn.jpg]]  
  
 
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Revision as of 07:31, 10 October 2014

OUTLINE

1. Introduction

2. Theory

3. Example

4. Conclusion

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Introduction

Upsampling is the process of increasing sampling rate of discret-time signal. In this slecture, I will discuss about how it works and example of upsampling.


Block.jpg


Theory
Upsampling in the frequency domain. It can be obtain in two different ways.

  Theroy.jpg       or           CodeCogsEqn.jpg




Graph1.jpg

Graph2.jpg

Graph3.jpg


Example

Upsampling rate D = 2


Here is the sampled signal.

Graphex.jpg

Upsampling rate D = 2 is applied.

Graphex2.jpg

Low-Pass filter of cutoff π/2, gain 2 is applied.

Graphex3.jpg

Final upsampled signal

Graphex5.jpg

Conclusion

Alumni Liaison

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

Dr. Paul Garrett