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	<title>Programmer Guide/SPU Reference/F0SIFT - Revision history</title>
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	<updated>2026-05-06T14:16:53Z</updated>
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		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/SPU_Reference/F0SIFT&amp;diff=4432&amp;oldid=prev</id>
		<title>Toni: moved Programmer Guide/SPU Reference/F0SIFT - f0 extraction with autocorrelation to Programmer Guide/SPU Reference/F0SIFT</title>
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		<updated>2011-04-28T09:58:50Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/F0SIFT_-_f0_extraction_with_autocorrelation&quot; class=&quot;mw-redirect&quot; title=&quot;Programmer Guide/SPU Reference/F0SIFT - f0 extraction with autocorrelation&quot;&gt;Programmer Guide/SPU Reference/F0SIFT - f0 extraction with autocorrelation&lt;/a&gt; to &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/F0SIFT&quot; title=&quot;Programmer Guide/SPU Reference/F0SIFT&quot;&gt;Programmer Guide/SPU Reference/F0SIFT&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 11:58, 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;
====F0SIFT - f0 extraction with autocorrelation====&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;F0SIFT &amp;lt;var&amp;gt;X&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;SR&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;FMIN&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;FMAX&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;MODE&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;TABLE&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;COL&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;
|signal vector (speech)&lt;br /&gt;
|-&lt;br /&gt;
|SR&lt;br /&gt;
|sampling rate in Hz&lt;br /&gt;
|-&lt;br /&gt;
|FMIN&lt;br /&gt;
|minimum f0&lt;br /&gt;
|-&lt;br /&gt;
|FMAX&lt;br /&gt;
|maximum f0&lt;br /&gt;
|-&lt;br /&gt;
|MODE&lt;br /&gt;
|tracking mode&lt;br /&gt;
|-&lt;br /&gt;
|TABLE&lt;br /&gt;
|name of output shell&amp;lt;nowiki&amp;gt;-&amp;lt;/nowiki&amp;gt;table (note this must be an extended table) see NEW TABLE.&lt;br /&gt;
|-&lt;br /&gt;
|COL&lt;br /&gt;
|index of table column (note that this column must be of type NUMBER)&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;F0&amp;lt;/var&amp;gt;&lt;br /&gt;
|f0 value in Hz or 0 if no f0 was found&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=====Function:=====&lt;br /&gt;
&lt;br /&gt;
This atom uses an autocorrelation method to extract the fundamental frequency from the speech signal X. The method is a modified version of the &amp;quot;simplified inverse filter tracking&amp;quot; algorithm published by J.D.Markel and A.H.Gray (J.D.Markel and A.H.Gray (1976), &amp;quot;Linear Prediction of Speech&amp;quot;; Springer, p206).&lt;br /&gt;
&lt;br /&gt;
The speech signal is low&amp;lt;nowiki&amp;gt;-&amp;lt;/nowiki&amp;gt;pass filtered and downsampled. The downsampling is applied to the signal to reduce the number of speech formants to 2. Because a minimum signal bandwidth of 2.FMAX is required for the extraction algorithm, the downsampling factor is selected as follows:&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|signal bandwidth&lt;br /&gt;
|b = max(2.FMAX, 2000Hz)&lt;br /&gt;
|-&lt;br /&gt;
|downsampling factor&lt;br /&gt;
|d = int(SR / (2.b))&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The inverse filter coefficients are computed using the LPC method. The inverse filter (order 4) is applied to the downsampled speech signal to remove the formant structure.&lt;br /&gt;
&lt;br /&gt;
The pitch period (= 1/f0) is measured in the autocorrelation function of the filtered signal. For the pitch period measurement the location of the highest autocorrelation peak in the range 1/FMAX..1/FMIN is used. To get a better frequency resolution the peak&amp;lt;nowiki&amp;gt;-&amp;lt;/nowiki&amp;gt;location is corrected by a parabolic interpolation.&lt;br /&gt;
&lt;br /&gt;
A tracking and correction procedure is used to correct the pitch value (e.g. octave jumps) and to remove incorrect voiced/unvoiced frames. For this procedure the last 3 frames are used.&lt;br /&gt;
&lt;br /&gt;
Step 4 can be enabled or disabled via the input MODE (0|NO = disabled, 1|YES = enabled). If tracking is enabled, the output values are delayed by two frames and the last 2 stored values are always set to zero (because the tracking needs 3 frames). If the inputs TABLE and COL are connected, all values stored in the output F0 are also stored in the column COL of the table starting at entry 0.&lt;br /&gt;
&lt;br /&gt;
=====Notes:=====&lt;br /&gt;
&lt;br /&gt;
In order to simulate the original S.I.F.T. algorithm described in &amp;quot;Linear Prediction of Speech&amp;quot; the following parameter settings must be used:&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|sampling rate&lt;br /&gt;
|SR=10000 (10kHz)&lt;br /&gt;
|-&lt;br /&gt;
|frequency range&lt;br /&gt;
|FMIN=50, FMAX=250 (50..250Hz)&lt;br /&gt;
|-&lt;br /&gt;
|tracking enabled&lt;br /&gt;
|MODE=1&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
	</entry>
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