Fourier Analysis
Lecture 1
THEORY OF THE FOURIER TRANSFORM: Outline of the basic theory of the Fourier Transform and the representation of data in the frequency domain.
MATLAB COMMANDS
FFT
MATLAB CODE
Lecture 2
DISCRETE FOURIER TRANSFORM (DFT) AND THE FAST FOURIER TRANSFORM (FFT): This lecture details the algorithm used for constructing the FFT and DFT representations using efficient computation.
MATLAB COMMANDS
FFT DFT DCT DST
MATLAB CODE
Supplementary Videos
Lecture 3
FFT AND IMAGE COMPRESSION: The applications of the FFT are immense. Here it is shown to be useful in compressing images in the frequency domain.
MATLAB COMMANDS
FFT2
MATLAB CODE