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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  
 
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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Latest revision as of 05:24, 11 September 2013


Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin

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


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).

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