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| + | After this slight diversion, we continued discussing the sampling | ||
<math>x_1[n]=x(T_1 n)</math> | <math>x_1[n]=x(T_1 n)</math> | ||
Revision as of 13:04, 21 September 2011
Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin
Wednesday September 21, 2011 (Week 5) - See Course Outline.
In Lecture 14, we discussed the possibility of an extra credit project involving signal resampling and filtering.
After this slight diversion, we continued discussing the sampling
$ x_1[n]=x(T_1 n) $
of a continuous-time signal x(t). We obtained and discussed the relationship between the DT Fourier transform of $ x_1[n] $ and that of a downsampling $ y[n]=x_1[Dn] $, for some integer D>1. We then 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 next lecture, we will use this relationship to figure out how to transform this signal into the (higher resolution) signal
$ x_2[n]=x\left( n \frac{T_1}{D} \right) $.
Side notes:
- I think this may be a good time to pass some advice to current/future ECE301 students on the peer legacy page.
- Here is a Rhea page on sampling contributed by a student.
- HW3 is now posted. It is due next Wednesday.
Previous: Lecture 13 Next: Lecture 15
