Lecture 38 Blog, ECE438 Fall 2014, Prof. Boutin
Monday November 24, 2014 (Week 14) - See Course Outline.
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Today we moved to the topic of image processing. We stated from the formula for 2D convolution (in discrete-space) expressing the output of a discrete-space LTI system in terms of the input image f[m,n] and the unit input response h[m,n]. We then proceed to demonstrate how to use the formula using an average filter and a 6x6 digital image. The issue of the boundary conditions was discussed.
We analyzed the frequency response of this average filter. 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.
Relevant Rhea Material
- Table of CSFT pairs and properties
- a pdf file of the notes of Hector Santos on 2D signals and CSFT
- 2D signals
- 2D rect signal
- A student summary of spectral analysis of 2D signals
- Signal definitions
Action Items
- Do HW 11. It is due Monday.
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