An Introduction to Fourier Theory
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http://aurora.phys.utk.edu/~forrest/papers/fourier/index.html  


Forrest Hoffman  
A paper about Fourier transformations, which decompose or separate a waveform or function into sinusoids of different frequencies that sum to the original waveform. Fourier theory is an important tool in science and engineering. Contents: Introduction; The Fourier Transform; The Two Domains; Fourier Transform Properties  Scaling Property, Shifting Property, Convolution Theorem, Correlation Theorem; Parseval's Theorem; Sampling Theorem; Aliasing; Discrete Fourier Transform (DFT); Fast Fourier Transform (FFT); Summary; References.  


Levels:  College, Research 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Fourier Analysis/Wavelets 
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