| (2 intermediate revisions by one other user not shown) | |||
| Line 2: | Line 2: | ||
= Lecture 13 Blog, [[ECE438]] Fall 2011, [[User:Mboutin|Prof. Boutin]] = | = Lecture 13 Blog, [[ECE438]] Fall 2011, [[User:Mboutin|Prof. Boutin]] = | ||
| − | + | Wednesday September 21, 2011 (Week 5) - See [[Lecture Schedule ECE438Fall11 Boutin|Course Outline]]. | |
| − | + | ||
---- | ---- | ||
| − | In Lecture 13, we | + | In Lecture 13, we discussed the possibility of an extra credit project involving signal resampling and filtering. |
| + | |||
| + | After this slight diversion, we continued discussing the sampling | ||
| + | |||
| + | <math>x_1[n]=x(T_1 n)</math> | ||
| + | |||
| + | 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 | ||
| + | |||
| + | <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. | ||
---- | ---- | ||
<br> Previous: [[Lecture12ECE438F11|Lecture 12]] Next: [[Lecture14ECE438F11|Lecture 14]] | <br> Previous: [[Lecture12ECE438F11|Lecture 12]] Next: [[Lecture14ECE438F11|Lecture 14]] | ||
| Line 12: | Line 24: | ||
[[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:sampling]] | ||
Latest revision as of 05:23, 11 September 2013
Lecture 13 Blog, ECE438 Fall 2011, Prof. Boutin
Wednesday September 21, 2011 (Week 5) - See Course Outline.
In Lecture 13, 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 12 Next: Lecture 14
