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	<title>Programmer Guide/SPU Reference/CEPSTRUM - Revision history</title>
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	<updated>2026-05-06T14:16:14Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/SPU_Reference/CEPSTRUM&amp;diff=4416&amp;oldid=prev</id>
		<title>Toni: moved Programmer Guide/SPU Reference/CEPSTRUM - cepstrum and smoothed spectrum to Programmer Guide/SPU Reference/CEPSTRUM</title>
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		<updated>2011-04-28T09:57:08Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/CEPSTRUM_-_cepstrum_and_smoothed_spectrum&quot; class=&quot;mw-redirect&quot; title=&quot;Programmer Guide/SPU Reference/CEPSTRUM - cepstrum and smoothed spectrum&quot;&gt;Programmer Guide/SPU Reference/CEPSTRUM - cepstrum and smoothed spectrum&lt;/a&gt; to &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/CEPSTRUM&quot; title=&quot;Programmer Guide/SPU Reference/CEPSTRUM&quot;&gt;Programmer Guide/SPU Reference/CEPSTRUM&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 11:57, 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>2010-11-18T16:31:53Z</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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		<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;
====CEPSTRUM - cepstrum and smoothed spectrum====&lt;br /&gt;
&lt;br /&gt;
The &amp;lt;code&amp;gt;CEPSTRUM&amp;lt;/code&amp;gt; atom computes the real cepstrum or the cepstrum smoothed spectrum of the input-spectrum &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt;. The input &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt; must be (!) a logarithmic magnitude spectrum with length n&amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt; = 2M+1. If the inputs &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt; and &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt; are not connected, the real cepstrum is computed and the 1st half (n&amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt;-1 coefs.) is stored in &amp;lt;var&amp;gt;Y&amp;lt;/var&amp;gt;. The cepstrum is multiplied with the scaling factor &amp;lt;var&amp;gt;C&amp;lt;/var&amp;gt; (def.=1). If the input &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt; (number of coefs.) is connected, a smoothed (filtered) spectrum is computed and stored in &amp;lt;var&amp;gt;Y&amp;lt;/var&amp;gt; (nX samples). For the computation of the smoothed spectrum, the cepstrum coefficients with index &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt; to &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt;+&amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt;-1 are used (&amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt;&amp;gt;=0, &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt;&amp;gt;0, &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt;+&amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt;&amp;lt;=nX-1). The smoothing parameters &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt; and &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt; can be changed in each evaluation cycle.&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;CEPSTRUM &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;C&amp;lt;/var&amp;gt;&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Inputs:=====&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:A logarithmic magnitude spectrum.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The number of cepstrum coefficients (coefs.) for smoothing.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;I&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The index of 1st cepstrum coef. for smoothing=0.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;C&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The factor or shift-level; default=1(factor) or 0(dB).&lt;br /&gt;
&lt;br /&gt;
=====Outputs:=====&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;Y&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:A real cepstrum (1st half) or smoothed/filtered spectrum.&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
	</entry>
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