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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

  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

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

Dr. Paul Garrett