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	<id>https://www.geopsy.org/wiki/index.php?action=history&amp;feed=atom&amp;title=Geopsy%3A_Fast_Fourier_Transform</id>
	<title>Geopsy: Fast Fourier Transform - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://www.geopsy.org/wiki/index.php?action=history&amp;feed=atom&amp;title=Geopsy%3A_Fast_Fourier_Transform"/>
	<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;action=history"/>
	<updated>2026-04-22T14:59:07Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.34.1</generator>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=2740&amp;oldid=prev</id>
		<title>Marc at 13:31, 12 March 2010</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=2740&amp;oldid=prev"/>
		<updated>2010-03-12T13:31:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:31, 12 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. Hence, in &amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface, a Fourier transform is not considered as a [[Geopsy: Waveform Menu|waveform processing]]. The switch from time to frequency domain and vice-versa is located in [[Geopsy: View menu|View menu]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. Hence, in &amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface, a Fourier transform is not considered as a [[Geopsy: Waveform Menu|waveform processing]]. The switch from time to frequency domain and vice-versa is located in [[Geopsy: View menu|View menu]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When [[Geopsy: File &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Menu&lt;/del&gt;#Export|exporting]] to an [[Geopsy: Supported file formats#ASCII Multi column (rw)|ASCII Multi-column file]] (and only for that format), the current domain is taken into account. The Fourier spectrum is exported with two columns per channel (real and imaginary). The total number of lines of the produced file is approximately half of the number of samples (difference between odd and even number of samples).&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When [[Geopsy: File &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;menu&lt;/ins&gt;#Export|exporting]] to an [[Geopsy: Supported file formats#ASCII Multi column (rw)|ASCII Multi-column file]] (and only for that format), the current domain is taken into account. The Fourier spectrum is exported with two columns per channel (real and imaginary). The total number of lines of the produced file is approximately half of the number of samples (difference between odd and even number of samples).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Marc</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=2034&amp;oldid=prev</id>
		<title>Marc at 08:54, 11 March 2010</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=2034&amp;oldid=prev"/>
		<updated>2010-03-11T08:54:35Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 08:54, 11 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All [[Wikipedia: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fast_Fourier_Transform&lt;/del&gt;|Fourier Transforms]] in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. This is a highly optimized library able to handle any number of samples (not only a power of 2)&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All [[Wikipedia: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Fourier_Transform&lt;/ins&gt;|Fourier Transforms]] in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. This is a highly optimized library able to handle any number of samples (not only a power of 2)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. Hence, in &amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface, a Fourier transform is not considered as a [[Geopsy: Waveform Menu|waveform processing]]. The switch from time to frequency domain and vice-versa is located in [[Geopsy: View menu|View menu]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. Hence, in &amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface, a Fourier transform is not considered as a [[Geopsy: Waveform Menu|waveform processing]]. The switch from time to frequency domain and vice-versa is located in [[Geopsy: View menu|View menu]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Marc</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1775&amp;oldid=prev</id>
		<title>Marc: Fast Fourier Transform in Geopsy moved to Geopsy: Fast Fourier Transform</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1775&amp;oldid=prev"/>
		<updated>2010-03-10T14:19:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;a href=&quot;/wiki/index.php/Fast_Fourier_Transform_in_Geopsy&quot; class=&quot;mw-redirect&quot; title=&quot;Fast Fourier Transform in Geopsy&quot;&gt;Fast Fourier Transform in Geopsy&lt;/a&gt; moved to &lt;a href=&quot;/wiki/index.php/Geopsy:_Fast_Fourier_Transform&quot; title=&quot;Geopsy: Fast Fourier Transform&quot;&gt;Geopsy: Fast Fourier Transform&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 14:19, 10 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Marc</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1762&amp;oldid=prev</id>
		<title>Marc at 14:07, 10 March 2010</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1762&amp;oldid=prev"/>
		<updated>2010-03-10T14:07:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 14:07, 10 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All [[Wikipedia: fast_Fourier_Transform|Fourier Transforms]] in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. This is a highly optimized library able to handle any number of samples (not only a power of 2)&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All [[Wikipedia: fast_Fourier_Transform|Fourier Transforms]] in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. This is a highly optimized library able to handle any number of samples (not only a power of 2)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;In &lt;/del&gt;&amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface  &lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A Fourier transform does not alter the signal, i.e. an inverse transform reproduces the complete original signal without any loss. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Hence, in &lt;/ins&gt;&amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, a Fourier transform is not considered as a [[Geopsy: Waveform Menu|waveform processing]]. The switch from time to frequency domain and vice-versa is located in [[Geopsy: View menu|View menu]].&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;When [[Geopsy: File Menu#Export|exporting]] to an [[Geopsy: Supported file formats#ASCII Multi column (rw)|ASCII Multi-column file]] (and only for that format), the current domain is taken into account. The Fourier spectrum is exported with two columns per channel (real and imaginary). The total number of lines of the produced file is approximately half of the number of samples (difference between odd and even number of samples).&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Marc</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1165&amp;oldid=prev</id>
		<title>Marc at 13:35, 9 March 2010</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1165&amp;oldid=prev"/>
		<updated>2010-03-09T13:35:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:35, 9 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Contrary &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;the classical [[Wikipedia: fast_Fourier_Transform|Fast Fourier Transform]] that requires the size to be &lt;/del&gt;a power of 2, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;FFTW alghorithm accepts arbitrary input size for signals&lt;/del&gt;. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Wikipedia: fast_Fourier_Transform|&lt;/ins&gt;Fourier Transforms&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;This is a highly optimized library able &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;handle any number of samples (not only &lt;/ins&gt;a power of 2&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;A Fourier transform does not alter the signal&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;i.e. an inverse transform reproduces the complete original signal without any loss&lt;/ins&gt;. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;In &amp;#039;&amp;#039;geopsy&amp;#039;&amp;#039; graphical interface &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== External references ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Marc</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1142&amp;oldid=prev</id>
		<title>Salomon Hailemikael at 12:59, 9 March 2010</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1142&amp;oldid=prev"/>
		<updated>2010-03-09T12:59:04Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 12:59, 9 March 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. Contrary to the classical Fast Fourier Transform that requires the size to be a power of 2, FFTW alghorithm accepts arbitrary input size for signals. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;References about FFTW are given at &lt;/del&gt;[http://www.fftw.org FFTW&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. Contrary to the classical &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Wikipedia: fast_Fourier_Transform|&lt;/ins&gt;Fast Fourier Transform&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;that requires the size to be a power of 2, FFTW alghorithm accepts arbitrary input size for signals. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;== References ==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;== External references ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[[Wikipedia:Fast_Fourier_Transform|Fast Fourier Transform]&lt;/del&gt;]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.fftw.org FFTW]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Salomon Hailemikael</name></author>
		
	</entry>
	<entry>
		<id>https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1136&amp;oldid=prev</id>
		<title>Salomon Hailemikael: New page: All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &quot;Fastest Fourier Transform in the West&quot; and encapsulated in FF...</title>
		<link rel="alternate" type="text/html" href="https://www.geopsy.org/wiki/index.php?title=Geopsy:_Fast_Fourier_Transform&amp;diff=1136&amp;oldid=prev"/>
		<updated>2010-03-09T12:45:15Z</updated>

		<summary type="html">&lt;p&gt;New page: All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FF...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;All Fourier Transforms in geopsy are based on the algorithms developed by Matteo Frigo and Steven G. Johnson (MIT) called the &amp;quot;Fastest Fourier Transform in the West&amp;quot; and encapsulated in FFTW library. Contrary to the classical Fast Fourier Transform that requires the size to be a power of 2, FFTW alghorithm accepts arbitrary input size for signals. References about FFTW are given at [http://www.fftw.org FFTW]&lt;br /&gt;
== References ==&lt;br /&gt;
[[Wikipedia:Fast_Fourier_Transform|Fast Fourier Transform]]&lt;/div&gt;</summary>
		<author><name>Salomon Hailemikael</name></author>
		
	</entry>
</feed>