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[[Category:ECE438Fall2014Boutin]]
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[[Category:ECE]]
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[[Category:ECE438]]
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[[Category: Frequency Upsampling]]
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A Frequency Domain view of Upsampling
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Upsampling with en emphasis on the frequency domain
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By: Michael Deufel
  
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By: Michael Deufel
 
 
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1. Introduction
 
  
2. Derivation
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<font size="4">1. Introduction</font>
  
3. Examples
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<font size="4">2. Derivation</font>
  
4. Conclusion
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<font size="4">3. Examples</font>
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<font size="4">4. Conclusion</font>
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1. Introduction
 
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The purpose of Upsampling is to manipulate a signal in order to increase the sampling rate.  
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1. Introduction <font size="3"></font>
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<font size="3">The purpose of Upsampling is to manipulate a signal in order to increase the sampling rate.</font>
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<font size="3">&nbsp; &nbsp; &nbsp;This is done by:</font>
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<font size="3"></font>&nbsp; &nbsp; &nbsp; &nbsp; Step 1: Descretise the signal&nbsp;
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<font size="3">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Step 1: Pad original signal with zeros</font>
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<font size="3">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Step 2: Taking the DTFT</font>
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<font size="3">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Step 3: Sending through a LPF (low pass filter)</font>
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<font size="3">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Step 4:Taking the inverse DTFT to return to the time domain</font>
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</font></font></font>
  
This is done by taking the signal padding with zeros, then taking the DTFT and sending it through a LPF (low pass filter) and then taking the inverse DTFT to return to the time domain.
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<font size="5"><font size="2"><font size="4"><font size="3">We will overview the whole process but focus on the effect upsampling has in the frequency domain </font> </font> </font> </font>
  
We will overview the whole process but focus on the effect upsampling has in the frequency domain
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[[Category:Slecture]] [[Category:ECE438Fall2014Boutin]] [[Category:ECE]] [[Category:ECE438]] [[Category:Frequency_Upsampling]]

Revision as of 12:05, 14 October 2014


Upsampling with en emphasis on the frequency domain

By: Michael Deufel


1. Introduction

2. Derivation

3. Examples

4. Conclusion


1. Introduction

The purpose of Upsampling is to manipulate a signal in order to increase the sampling rate.

     This is done by:

        Step 1: Descretise the signal 

         Step 1: Pad original signal with zeros

         Step 2: Taking the DTFT

         Step 3: Sending through a LPF (low pass filter)

         Step 4:Taking the inverse DTFT to return to the time domain

We will overview the whole process but focus on the effect upsampling has in the frequency domain

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