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22 - Discrete Fourier transform

As stated before, the Fourier transform works on continuous signals. In digital image processing however, we only have discrete samples of a signal. The Fourier transform can easily be modified to deal with these. However, digital sampling has its limitations as we can only sample at a certain frequency and have a limited number levels available (e.g. a 8-bit resolution has 256 values of in terms of resolution and bandwidth. These limitations have an effect on the result of the Fourier transform which will be discussed in the course.

Theory

Demonstration