File:SymmetryPropertiesDTFT.svg

Uploaded by Fvultier
Upload date 2018-12-11T13:18:03Z
MIME type image/svg+xml
Dimensions 602 × 465 px
File size 21.8 KB

Summary

Description
English: Graphics visualizing the symmetry properties of the discrete-time Fourier transform. When the real and imaginary parts of a complex function are decomposed into their even and odd parts, there are four components, denoted below by the subscripts RE, RO, IE, and IO. And there is a one-to-one mapping between the four components of a complex time function and the four components of its complex frequency transform:[1]
𝖳𝗂𝗆𝖾 𝖽𝗈𝗆𝖺𝗂𝗇 x=xRE+xRO+i xIE+i xIO⏟⇕ℱ⇕ℱ  ⇕ℱ  ⇕ℱ  ⇕ℱ𝖥𝗋𝖾𝗊𝗎𝖾𝗇𝖼𝗒 𝖽𝗈𝗆𝖺𝗂𝗇X=XRE+i XIO⏞+i XIE+XRO
Date
Source Own work
Author Fvultier
Other versions File:SymmetryPropertiesFourierSeries.svg

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
  1. ↑ Proakis, John G.; Manolakis, Dimitri G. (1996) Digital Signal Processing: Principles, Algorithms and Applications (in English), 3 edition, Prentice-Hall International, ISBN 9780133942897, sAcfAQAAIAAJ, page 291

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

10 December 2018

22,356 byte

image/svg+xml

dc57caa444b1ff2df1d17e7a4d52f85c50dfa489