DFT_Definition

DFT_Definition - 10/4/2011

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Next | Prev | Up | Top | Index | JOS Index | JOS Pubs | JOS Home | Search DFT Definition The Discrete Fourier Transform (DFT) of a signal may be defined by where ` ' means ``is defined as'' or ``equals by definition'', and The sampling interval is also called the sampling period . For a tutorial on sampling continuous-time signals to obtain non- aliased discrete-time signals, see Appendix D . When all signal samples are real, we say . If they may be complex, we write . Finally, means is any integer. Next | Prev | Up | Top | Index | JOS Index | JOS Pubs | JOS Home | Search Page 1 of 2 DFT Definition
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Unformatted text preview: 10/4/2011 https://ccrma.stanford.edu/~jos/dft/DFT_Definition.html [How to cite this work] [Order a printed hardcopy] [Comment on this page via email] `` 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 2011-04-23 by Julius O. Smith III Center for Computer Research in Music and Acoustics (CCRMA), Stanford University Page 2 of 2 DFT Definition 10/4/2011 https://ccrma.stanford.edu/~jos/dft/DFT_Definition.html...
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DFT_Definition - 10/4/2011

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