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| + | [[Category:z-transform]] | ||
= Lecture 4 Blog, [[ECE438]] Fall 2011, [[User:Mboutin|Prof. Boutin]] = | = Lecture 4 Blog, [[ECE438]] Fall 2011, [[User:Mboutin|Prof. Boutin]] = | ||
| − | Monday August 29, | + | Monday August 29, 2011 (Week 2) - See [[Lecture Schedule ECE438Fall11 Boutin|Course Outline]]. |
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| − | In the fourth lecture, we computed the CTFT of signal that would "sound" like a middle C and the CTFT of a signal that would "sound" like the next higher C. We also obtained the DTFT of a sampling of each of these signals (using the same sampling frequency). It was observed that, while the sampling of middle C yields a DT signal that also sounds like a middle C, the sampling of the higher C does not at all sound like a C. | + | In the fourth lecture, we computed the CTFT of signal that would "sound" like a middle C and the CTFT of a signal that would "sound" like the next higher C. We also obtained the DTFT of a sampling of each of these signals (using the same sampling frequency). It was observed that, while the sampling of middle C yields a DT signal that also sounds like a middle C, the sampling of the higher C does not at all sound like a C. |
| + | |||
| + | In the last few minutes of the lecture, we introduced the z-transform formula and observed its similarity to the DTFT formula. More precisely, we noticed that the DTFT is a restriction of the z-transform to the unit circle. | ||
Relevant links: | Relevant links: | ||
Latest revision as of 06:18, 11 September 2013
Lecture 4 Blog, ECE438 Fall 2011, Prof. Boutin
Monday August 29, 2011 (Week 2) - See Course Outline.
In the fourth lecture, we computed the CTFT of signal that would "sound" like a middle C and the CTFT of a signal that would "sound" like the next higher C. We also obtained the DTFT of a sampling of each of these signals (using the same sampling frequency). It was observed that, while the sampling of middle C yields a DT signal that also sounds like a middle C, the sampling of the higher C does not at all sound like a C.
In the last few minutes of the lecture, we introduced the z-transform formula and observed its similarity to the DTFT formula. More precisely, we noticed that the DTFT is a restriction of the z-transform to the unit circle.
Relevant links:
Action items:
- Solve the following practice problem
- Keep working on the first homework. It is due next Wednesday (in class).
Previous: Lecture 3 Next: Lecture 5
