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Wednesday January 19, 2011 (Week 2) - See [[Lecture_Schedule_ECE301Spring11_Boutin|Course Schedule]]. | Wednesday January 19, 2011 (Week 2) - See [[Lecture_Schedule_ECE301Spring11_Boutin|Course Schedule]]. | ||
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| − | In the fourth lecture, we | + | In the fourth lecture, we defined and discussed the CT and DT versions of complex exponential signals and (through Euler's formula) their relationship with sine and cosine. It was observed that complex exponential signals whose exponent is purely imaginary are always periodic and gave a simple expression for the fundamental period of such signals. Then we discussed the DT equivalents and pointed out that they are not necessarily periodic (e.g. <math class="inline">e^{jn}</math> is not periodic). In the case where they are periodic, we described a simple method for determining their fundamental period. |
==Action items before the next lecture:== | ==Action items before the next lecture:== | ||
*Read Sections 1.4 and 1.5 in the book. | *Read Sections 1.4 and 1.5 in the book. | ||
*Begin working on the [[HW2_ECE301_Spring2011_Prof_Boutin|second homework assignment]] | *Begin working on the [[HW2_ECE301_Spring2011_Prof_Boutin|second homework assignment]] | ||
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Previous: [[Lecture3ECE301S11|Lecture 3]] | Previous: [[Lecture3ECE301S11|Lecture 3]] | ||
Next: [[Lecture5ECE301S11|Lecture 5]] | Next: [[Lecture5ECE301S11|Lecture 5]] | ||
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| + | ==Feel free to add comments/discussions below== | ||
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[[2011_Spring_ECE_301_Boutin|Back to ECE301 Spring 2011 Prof. Boutin]] | [[2011_Spring_ECE_301_Boutin|Back to ECE301 Spring 2011 Prof. Boutin]] | ||
Revision as of 14:37, 20 January 2011
Lecture 4 Blog, ECE301 Fall 2010, Prof. Boutin
Wednesday January 19, 2011 (Week 2) - See Course Schedule.
In the fourth lecture, we defined and discussed the CT and DT versions of complex exponential signals and (through Euler's formula) their relationship with sine and cosine. It was observed that complex exponential signals whose exponent is purely imaginary are always periodic and gave a simple expression for the fundamental period of such signals. Then we discussed the DT equivalents and pointed out that they are not necessarily periodic (e.g. $ e^{jn} $ is not periodic). In the case where they are periodic, we described a simple method for determining their fundamental period.
Action items before the next lecture:
- Read Sections 1.4 and 1.5 in the book.
- Begin working on the second homework assignment
Previous: Lecture 3
Next: Lecture 5
