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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== | ||
| + | *[[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== | ||
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[[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011]] | [[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011]] | ||
| − | [[Category: | + | [[[Category:ECE438Fall2011Boutin]] |
| + | [[Category:ECE438]] | ||
| + | [[Category:signal processing]] | ||
| + | [[Category:ECE]] | ||
| + | [[Category:Blog]] | ||
| + | [[Category:discrete Fourier transform]] | ||
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).
Relevant Rhea pages
- A page about the DFT written by a student
- Recommended exercises of Fourier series computations for DT signals (to brush up on Fourier series))
Action items
- Keep working on the third homework
- Solve the following practice problems and share your answer for feedback
Previous: Lecture 13 Next: Lecture 15
[[[Category:ECE438Fall2011Boutin]]
