Fourier Analysis
Lecture 1
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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
Lecture 2
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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
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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