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+<?xml version="1.0" encoding="UTF-8"?>
+<helpdocument version="1.0">
+ <!--
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ -->
+
+ <meta>
+ <topic id="ID" indexer="include" status="PUBLISH">
+ <title id="tit" xml-lang="en-US">Fourier Analysis</title>
+ <filename>/text/scalc/01/statistics_fourier.xhp</filename>
+ </topic>
+ </meta>
+
+ <body>
+ <bookmark xml-lang="en-US" branch="hid/modules/scalc/ui/fourieranalysisdialog/FourierAnalysisDialog" id="bm_id2345673" localize="false"/>
+ <bookmark xml-lang="en-US" branch="hid/modules/scalc/ui/regressiondialog/@@nowidget@@" id="bm_id2745673" localize="false"/>
+ <bookmark xml-lang="en-US" branch="index" id="bm_id2764278">
+<bookmark_value>Analysis toolpack;Fourier analysis</bookmark_value>
+<bookmark_value>Fourier analysis;Analysis toolpack</bookmark_value>
+<bookmark_value>Data statistics;Fourier analysis</bookmark_value>
+ </bookmark>
+
+ <section id="fourieranalysis">
+ <h1 id="hd_id431561808831965"><variable id="fourieranalysysh1"><link href="text/scalc/01/statistics_fourier.xhp" name="Fourier analysis">Fourier Analysis</link></variable></h1>
+ <paragraph id="par_id1001240" role="paragraph" xml-lang="en-US"><ahelp hid="modules/scalc/ui/regressiondialog/RegressionDialog">Produces the Fourier analysis of a data set by computing the Discrete Fourier Transform (DFT) of an input array of complex numbers using a couple of Fast Fourier Transform (FFT) algorithms.</ahelp></paragraph>
+</section>
+ <section id="howtoget">
+ <paragraph id="par_id1000040" role="paragraph" xml-lang="en-US"><variable id="sam01">Choose <menuitem>Data - Statistics - Fourier Analysis</menuitem></variable></paragraph>
+ </section>
+ <note id="par_id1001270">For more information on Fourier analysis, refer to the <link href="https://en.wikipedia.org/wiki/Fourier_analysis" name="English Wikipedia: Fourier analysis">corresponding Wikipedia article</link>.</note>
+
+ <embed href="text/scalc/01/stat_data.xhp#data"/>
+ <paragraph role="paragraph" id="par_id301561811172762"><emph>Input range has label</emph>: Mark when the first row or column of the input array is actually a label and not part of the data analysis.</paragraph>
+ <paragraph role="paragraph" id="par_id741556228390897">Input Range is a 2 x N or N x 2 range representing an array of complex number to be transformed, where N is the length of the array. The array represents the real and imaginary parts of the data.</paragraph>
+ <embed href="text/scalc/01/stat_data.xhp#grouped"/>
+
+ <h3 id="hd_id211561811324208">Options:</h3>
+ <paragraph role="paragraph" id="par_id631556228516997"><emph>Inverse</emph>: When checked, calculates the inverse Discrete Fourier Transform.</paragraph>
+ <paragraph role="paragraph" id="par_id811561732287508"><emph>Polar</emph>: When checked, the results are in polar coordinates (magnitude, phase).</paragraph>
+ <paragraph role="paragraph" id="par_id661561732521977"><emph>Minimum magnitude for polar form output (in dB)</emph>: used only when output is in polar form. All frequency components with magnitude less than this value in decibels will be suppressed with a zero magnitude-phase entry. This is very useful when looking at the magnitude-phase spectrum of a signal because there is always some very tiny amount of rounding error when doing FFT algorithms and results in incorrect non-zero phase for non-existent frequencies. By providing a suitable value to this parameter, these non-existent frequency components can be suppressed.</paragraph>
+
+ <embed href="text/scalc/06/calcsamplefiles.xhp#func_fourier"/>
+ <embed href="text/scalc/01/ful_func.xhp#func_head_example"/>
+ <paragraph role="paragraph" id="par_id731561827207828">The source data for this example is the same of the <link href="text/scalc/01/func_fourier.xhp" name="Fourier function">FOURIER function page</link>.</paragraph>
+ <table id="Tabela1">
+ <tablerow>
+ <tablecell colspan="2">
+ <paragraph id="par_id290620191257279817" role="tablehead">Fourier Transform</paragraph>
+ </tablecell>
+ <tablecell>
+ </tablecell>
+ <tablecell colspan="2">
+ <paragraph id="par_id29062019125727379" role="tablehead">Fourier Transform</paragraph>
+ </tablecell>
+ </tablerow>
+ <tablerow>
+ <tablecell colspan="2">
+ <paragraph id="par_id290620191257276510" role="tablecontent"><emph>Input data range : $B$6:$C$40</emph></paragraph>
+ </tablecell>
+ <tablecell>
+ </tablecell>
+ <tablecell colspan="2">
+ <paragraph id="par_id290620191257273433" role="tablecontent"><emph>Input data range : $B$6:$C$40</emph></paragraph>
+ </tablecell>
+ </tablerow>
+ <tablerow>
+ <tablecell>
+ <paragraph id="par_id290620191257273688" role="tablecontent"><emph>Real</emph></paragraph>
+ </tablecell>
+ <tablecell>
+ <paragraph id="par_id290620191257276202" role="tablecontent"><emph>Imaginary</emph></paragraph>
+ </tablecell>
+ <tablecell>
+ </tablecell>
+ <tablecell>
+ <paragraph id="par_id481561825547527" role="tablecontent"><emph>Magnitude</emph></paragraph>
+ </tablecell>
+ <tablecell>
+ <paragraph id="par_id751561825556834" role="tablecontent"><emph>Phase</emph></paragraph>
+ </tablecell>
+ </tablerow>
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