(New page: <br> = Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin = Wednesday September 21, 2011 (Week 5) - See Course Outline. ---- ...) |
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| − | In Lecture 14, we | + | In Lecture 14, we continued discussing the sampling |
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| + | <math>x_1[n]=x(T_1 n)</math> | ||
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| + | of a continuous-time signal x(t). We obtained and discussed the relationship between the DT Fourier transform of <math>x_1[n]</math> and that of a downsampling <math>y[n]=x_1[Dn]</math>, for some integer D>1. We then 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 next lecture, we will use this relationship to figure out how to transform this signal into the (higher resolution) signal | ||
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| + | <math>x_2[n]=x\left( n \frac{T_1}{D} \right)</math>. | ||
| + | ---- | ||
| + | Side notes: | ||
| + | *I think this may be a good time to pass some advice to current/future ECE301 students on [[Peer_Legacy_ECE301|the peer legacy page]]. | ||
| + | *Here is a [[Student_summary_sampling_part1_ECE438F09|Rhea page on sampling contributed by a student]]. | ||
| + | *[[Hw3_ECE438F11|HW3]] is now posted. It is due next Wednesday. | ||
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<br> Previous: [[Lecture13ECE438F11|Lecture 13]] Next: [[Lecture15ECE438F11|Lecture 15]] | <br> Previous: [[Lecture13ECE438F11|Lecture 13]] Next: [[Lecture15ECE438F11|Lecture 15]] | ||
Revision as of 12:01, 21 September 2011
Lecture 14 Blog, ECE438 Fall 2011, Prof. Boutin
Wednesday September 21, 2011 (Week 5) - See Course Outline.
In Lecture 14, 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
