Fourier Transform Notation

The following notation will be used to state that is the Fourier Transform of

where is read as ``corresponds to''. The notation or denotes the vector containing , . This is denoted by `X .* Y' in Matlab, where X and Y are either column or row vectors.

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.