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.
  • Compute the Fourier transform of cos(2 pi t).
  • Compute the Fourier transform of cos(2 pi t + pi/12).
  • Compute the Fourier transform of a rectangular pulse-train
  • Compute the Fourier transform of a triangular pulse-train

Relevant Rhea Pages

• Table of continuous-time Fourier transform pairs and properties

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