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	<title>Programmer Guide/SPU Reference/WIGNER - Revision history</title>
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	<updated>2026-05-06T10:55:26Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/SPU_Reference/WIGNER&amp;diff=4530&amp;oldid=prev</id>
		<title>Toni: moved Programmer Guide/SPU Reference/WIGNER - pseudo wigner distribution to Programmer Guide/SPU Reference/WIGNER</title>
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		<updated>2011-04-28T10:16:55Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/WIGNER_-_pseudo_wigner_distribution&quot; class=&quot;mw-redirect&quot; title=&quot;Programmer Guide/SPU Reference/WIGNER - pseudo wigner distribution&quot;&gt;Programmer Guide/SPU Reference/WIGNER - pseudo wigner distribution&lt;/a&gt; to &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/WIGNER&quot; title=&quot;Programmer Guide/SPU Reference/WIGNER&quot;&gt;Programmer Guide/SPU Reference/WIGNER&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:16, 28 April 2011&lt;/td&gt;
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		<author><name>Toni</name></author>
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		<title>Admin: 1 revision:&amp;#32;Initial import</title>
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		<updated>2010-11-18T16:31:55Z</updated>

		<summary type="html">&lt;p&gt;1 revision: Initial import&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:31, 18 November 2010&lt;/td&gt;
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		<author><name>Admin</name></author>
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		<title>193.171.195.8: initial import</title>
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		<updated>2010-05-17T13:05:27Z</updated>

		<summary type="html">&lt;p&gt;initial import&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&lt;br /&gt;
====WIGNER - pseudo wigner distribution====&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;WIGNER &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;NSMT&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;NFIR&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;NFFT&amp;lt;/var&amp;gt;&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Inputs:=====&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|X&lt;br /&gt;
|input signal, no default (must contain an odd number of samples)&lt;br /&gt;
|-&lt;br /&gt;
|NSMT&lt;br /&gt;
|smoothing length, default=7 (must be odd, automatic correction)&lt;br /&gt;
|-&lt;br /&gt;
|NFIR&lt;br /&gt;
|fir filter length, default=7 ( must be odd, automatic correction)&lt;br /&gt;
|-&lt;br /&gt;
|NFFT&lt;br /&gt;
|fft length, default=2M &amp;gt;= NX, (automatic correction)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=====Outputs:=====&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;Y&amp;lt;/var&amp;gt;&lt;br /&gt;
|smoothed pseudo Wigner distribution (SPWD) in dB&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=====Function:=====&lt;br /&gt;
&lt;br /&gt;
This atom computes the smoothed pseudo Wigner distribution (SPWD) of the signal X. The time and frequency resolution depends on the parameters &amp;lt;var&amp;gt;NSMT&amp;lt;/var&amp;gt; (smoothing length), &amp;lt;var&amp;gt;NFIR&amp;lt;/var&amp;gt; (FIR filter length for the computation of the analytical signal) and &amp;lt;var&amp;gt;NFFT&amp;lt;/var&amp;gt; (FFT length), and on the length of the input vector NX. The computed SPWD (in dB) consists of &amp;lt;var&amp;gt;NFFT&amp;lt;/var&amp;gt; values and is stored in the output vector &amp;lt;var&amp;gt;Y&amp;lt;/var&amp;gt;. This implementation of the SPWD is based on the algorithms published by W. Wokurek in his doctor thesis. The picture below shows the content of the frame buffer (input signal) &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
[[File:1311.png]]&lt;br /&gt;
&lt;br /&gt;
Figure 7: Analysis frame of the Wigner distribution&lt;br /&gt;
&lt;br /&gt;
with:&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|NX&lt;br /&gt;
|length of input signal X, frame length&lt;br /&gt;
|-&lt;br /&gt;
|NFIR&lt;br /&gt;
|length of FIR filter for the computation of the analytical signal&lt;br /&gt;
|-&lt;br /&gt;
|NSMT&lt;br /&gt;
|length of time smoothing window&lt;br /&gt;
|-&lt;br /&gt;
|NWDW&lt;br /&gt;
|length of analysis window; the length of the analysis window is a basic parameter of the Wigner distribution. However, in this implementation it cannot be specified directly, rather it is derived from NX, NSMT and NFIR: NWDW = (NX&amp;lt;nowiki&amp;gt;-&amp;lt;/nowiki&amp;gt;1)-(NSMT-1)-(NFIR-1)+1&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
	</entry>
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