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

 

Supplementary Videos

 

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Discrete Fourier Transform

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

 

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