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To be written after the lecture.
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UNDER CONSTRUCTION
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Having obtained the relationship between the DT Fourier transform of  <math>x_1[n]</math> and that of an upsampling of x[n] by a factor D in the previous lecture, we observed that, under certain circumstances, a low-pass filter could be applied to this upsampling so to obtain the signal
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<math>x_2[n]=x\left( n \frac{T_1}{D} \right)</math>.
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We then began discussing the [[Discrete_Fourier_Transform|Discrete Fourier Transform]] (DFT).  
  
 
==Relevant Rhea pages==
 
==Relevant Rhea pages==
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*[[Student_summary_Discrete_Fourier_transform_ECE438F09|A page about the DFT written by a student]]
 
*[[Recommended exercise Fourier series computation DT|Recommended exercises of Fourier series computations for DT signals]] (to brush up on Fourier series))
 
*[[Recommended exercise Fourier series computation DT|Recommended exercises of Fourier series computations for DT signals]] (to brush up on Fourier series))
 
==Action items==
 
==Action items==

Revision as of 06:45, 23 September 2011


Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin

Friday September 23, 2011 (Week 5) - See Course Outline.


UNDER CONSTRUCTION

Having obtained the relationship between the DT Fourier transform of $ x_1[n] $ and that of an upsampling of x[n] by a factor D in the previous lecture, we observed that, under certain circumstances, a low-pass filter could be applied to this upsampling so to obtain the signal

$ x_2[n]=x\left( n \frac{T_1}{D} \right) $.

We then began discussing the Discrete Fourier Transform (DFT).

Relevant Rhea pages

Action items



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Sean Hu, ECE PhD 2009