| Line 3: | Line 3: | ||
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| − | Today we obtained the formula for the Fourier transform of a periodic signal. | + | Today we obtained the formula for the Fourier transform of a periodic signal. We found that we cannot compute the Fourier transform of such signals using the integral formula. However, we were able to guess the answer and give a mathematical proof that our guess is correct. |
| + | |||
| + | We finished the lecture by discussing a few properties of the continuous-time Fourier transform. | ||
| − | |||
== Action items before the next lecture: == | == Action items before the next lecture: == | ||
*Read Sections 4.4, 4.5, 4.7 in the book. | *Read Sections 4.4, 4.5, 4.7 in the book. | ||
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**[[Fourier_transform_cosine_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t).]] | **[[Fourier_transform_cosine_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t).]] | ||
**[[Fourier_transform_cosine_no2_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t + pi/12).]] | **[[Fourier_transform_cosine_no2_CT_ECE301S11|Compute the Fourier transform of cos(2 pi t + pi/12).]] | ||
| + | |||
| + | == Relevant Rhea Pages== | ||
| + | *[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Table of continuous-time Fourier transform pairs and properties]] | ||
Previous: [[Lecture17ECE301S11|Lecture 17]] | Previous: [[Lecture17ECE301S11|Lecture 17]] | ||
Revision as of 11:45, 21 February 2011
Lecture 18 Blog, ECE301 Spring 2011, Prof. Boutin
Monday February 21, 2011 (Week 7) - See Course Schedule.
Today we obtained the formula for the Fourier transform of a periodic signal. We found that we cannot compute the Fourier transform of such signals using the integral formula. However, we were able to guess the answer and give a mathematical proof that our guess is correct.
We finished the lecture by discussing a few properties of the continuous-time Fourier transform.
Action items before the next lecture:
- Read Sections 4.4, 4.5, 4.7 in the book.
- Solve the following practice problem on CT Fourier transform.
Relevant Rhea Pages
Previous: Lecture 17
Next: Lecture 19
