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.

You will not find another course where the mathematics of Discrete Transforms is described in as much detail but still keep a very high level of intuition. This has been achieved by the use of many 2D and 3D diagrams which are quite unique to this course. This course along with my course on Fourier and Laplace Transforms offers a unique insight to the world of mathematical transforms.

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.