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.

defined and motivated the Fourier transform for continuous-time signals. We noted that the frequency response of a system is the same function as the Fourier transform of the unit impulse response of that system. We did some examples of computations of Fourier transforms and inverse Fourier transforms. It was noted that sometimes these are impossible to compute; this was exemplified when we tried to compute the inverse Fourier transform of the constant function 1.

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).

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