| Line 5: | Line 5: | ||
---- | ---- | ||
| − | |||
| − | |||
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 | ||
Revision as of 11:49, 23 September 2011
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
