Revision as of 13:07, 16 November 2011

Lecture 36 Blog, ECE438 Fall 2011, Prof. Boutin

Wednesday November 14, 2011 (Week 13) - See Course Outline.

Today we analyzed the frequency response of the average filter discussed in the previous lecture. More specifically we computed its discrete-space Fourier transform and looked at its plot. Using the separability of the filter greatly facilitated the computation of its Fourier transform. We discussed different ways to determine whether a filter is separable and how to separate it. We then considered another filter (edge detector). Although that filter is not separable, we were able to write it as a sum of two separable filters.

Action items

• Solve the following problems on Spectral Analysis of discrete-space (2D) signals and share your answers for feedback
  • Obtain the discrete-space Fourier transform of a rectangle
  • Compute the discrete-space Fourier transform of this function
  • Compute the discrete-space Fourier transform of this cosine

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