The Fourier Transform
(What you need to know) The aim of this booklet is to cover the Fourier Theory required primarily for the Junior and Senior Honours lecture course units of

• Senior Honours course Modern Optics
• Senior Honours course Digital Image Analysis (U01427)
• Geoscience MSc course Theory of Image Processing (P00809)

It also contains examples from acoustics and solid state physics so should be generally useful for these courses. The mathematical results presented in this booklet will be used in the above courses and they are expected to be known.

Documents

• Introduction
• Properties of the Fourier Transform
• The Delta Function
• Symmetry of Fourier Transform
• Convolution & Correlation
• Workshop Questions
• Workshop Solutions

Extra Documents

• Whole Booklet
• Slides for Talk

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Contact: Will Hossack w.hossack@ed.ac.uk

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