File:DIT-FFT-butterfly.svg
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Summary
DescriptionDIT-FFT-butterfly.svg |
English: Decimation in time of a length-N DFT into two length-N/2 DFTs followed by a combining stage. |
Date | |
Source | Own work |
Author | Yangwenbo99 |
Other versions | A coloured version is available at File:DIT-FFT-butterfly-coloured.svg. This image is based on the PNG image File:DIT-FFT-butterfly.png. |
This is the SVG version of File:DIT-FFT-butterfly.png. It it drawn by the following Latex code:
\documentclass[tikz,convert={outfile=\jobname.svg}]{standalone} % \documentclass[tikz]{standalone} \usetikzlibrary{automata,positioning} \usepackage{relsize} %\usetikzlibrary{...}% tikz package already loaded by 'tikz' option \begin{document} \begin{tikzpicture}% Example: \draw[fill=white, draw=white] (-0.5, 0.7) rectangle (8, -7.7); \draw (0,0) node {$x[0]$}; \draw (0,-1) node {$x[2]$} ; \draw (0,-2) node {$x[4]$} ; \draw (0,-3) node {$x[6]$} ; \draw (0,-4) node {$x[1]$} ; \draw (0,-5) node {$x[3]$} ; \draw (0,-6) node {$x[5]$} ; \draw (0,-7) node {$x[7]$} ; % arrow on the right of x's \foreach \n in {0,...,7} { \draw (0.5,-\n) circle(0.05)[fill=white]; \draw [-latex] (0.55,-\n) -- (1, -\n); \draw (1, -\n) -- (1.4, -\n); } % blocks \draw(1.4, 0.3) rectangle (4, -3.3); \draw(1.4, -3.7) rectangle (4, -7.3); \draw(2.7, -1.5) node[text centered, text width=2cm] {$N/2$-point DFT}; \draw(2.7, -5.5) node[text centered, text width=2cm] {$N/2$-point DFT}; % E's and O's \foreach \n in {0,...,7} { \draw [-latex] (4,-\n) -- (4.95, -\n); \draw (5,-\n) circle(0.05)[fill=white]; } \foreach \n in {0,...,3} { \draw (4.9,-\n + 0.3) node {$E[\n]$}; } \foreach \n in {0,...,3} { \draw (4.9,-\n - 4 - 0.3) node {$O[\n]$}; } % X's \foreach \n in {0,...,7} { \draw (7,-\n) circle(0.05)[fill=white]; \draw (7.5,-\n) node {$X[\n]$}; } % Connecting X and E \foreach \n in {0,...,7} { \draw [-latex] (5.05, -\n) -- (6.95, -\n); } \foreach \n in {0,...,3} { \draw [-latex] (5.05, -\n) -- (6.95, -\n - 4); } \foreach \n in {0,...,3} { \draw [-latex] (5.05, -\n-4) -- (6.95, -\n); } % W's \foreach \n in {0,...,7} { \draw (7.1,-\n - 0.3) node {\scriptsize $W_N^{\n}$}; } \end{tikzpicture} \end{document}
Licensing
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Items portrayed in this file
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some value
image/svg+xml
15e7c1c2ef6adde7b92d96b21d1b725c1f36e42f
80,180 byte
298 pixel
302 pixel
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 08:42, 19 October 2021 | 302 × 298 (78 KB) | Yangwenbo99 | Uploaded own work with UploadWizard |
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Height | 238.51pt |
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