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sLecture

Topic 4: Discrete Parameter Signals and Systems
Discrete Transforms
↳ Sampling and Scanning
↳ 2-D Filters
↳ 2-D Random Processes
↳ Filtered Random Processes
↳ Eigen-Signal Analysis and Examples
↳ Supplementary: Proof of Wiener-Khintchine Theorem


The Bouman Lectures on Image Processing

A sLecture by Maliha Hossain

Subtopic 1: Discrete Transforms

© 2013




Excerpt from Prof. Bouman's Lecture


Accompanying Lecture Notes

text



Discrete Time Fourier Transform (DTFT)


Some Useful Discrete Time Functions and Transform Pairs


Discrete Space Fourier Transform and Properties


2-D Z-Transform


Relationship between Fourier and Z-Transforms

Fig 3: Event detection in a PET scanner



References

  • C. A. Bouman. ECE 637. Class Lecture. Digital Image Processing I. Faculty of Electrical Engineering, Purdue University. Spring 2013.



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