NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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Signal Operators

It will be convenient in the Fourier theorems below to make use of the following signal operator definitions.

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Subsections

• Flip Operator
• Shift Operator
• Convolution
  • Graphical Convolution
  • Polynomial Multiplication
  • Multiplication of Decimal Numbers
• Correlation
• Stretch Operator
• Zero Padding
• Repeat Operator
• Decimation Operator
• Alias Operator

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