This course takes a detailed mathematical and also an intuitive graphical approach to learning and understanding the discrete transforms.

We start off with a recap of the continuous Fourier Transform and from this we derive the Discrete Time Fourier Transform (DTFT) then the Discrete Frequency Fourier Transform (DFFT) or as it is commonly known The Fourier Series. We then move onto deriving the Discrete Time and Frequency Transform which is commonly known as The Discrete Fourier Transform (DFT). Finally we look at the mathematics and implementation of an FFT algorithm.

If you want a deep mathematical as well as an intuitive grasp of Discrete Transforms then this is the course for you. This is a continuation of the course Fourier and Laplace Transforms. You do not need to have taken the Fourier / Laplace course in order to do this but if may help.