The course covers the following topics:
Fourier series, the Fourier transform of continuous and discrete signals and its properties.
The Dirac delta, distributions, and generalized transforms.
Convolutions and correlations and applications, probability distributions, sampling theory, filters, and analysis of linear systems.
The Discrete Fourier transform and the FFT algorithm.
Multidimensional Fourier transform and use in imaging.
Further applications to optics, crystallography.