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	<title>Programmer Guide/SPU Reference/FORMANTS - Revision history</title>
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	<updated>2026-05-06T07:43:42Z</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/FORMANTS&amp;diff=3927&amp;oldid=prev</id>
		<title>Toni: moved Programmer Guide/SPU Reference/FORMANTS - formant extraction to Programmer Guide/SPU Reference/FORMANTS</title>
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		<updated>2011-04-20T13:33:51Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/FORMANTS_-_formant_extraction&quot; class=&quot;mw-redirect&quot; title=&quot;Programmer Guide/SPU Reference/FORMANTS - formant extraction&quot;&gt;Programmer Guide/SPU Reference/FORMANTS - formant extraction&lt;/a&gt; to &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/FORMANTS&quot; title=&quot;Programmer Guide/SPU Reference/FORMANTS&quot;&gt;Programmer Guide/SPU Reference/FORMANTS&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 15:33, 20 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;
====FORMANTS - formant extraction====&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;FORMANTS &amp;lt;var&amp;gt;F&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;A&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;M&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;F0&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;B&amp;lt;/var&amp;gt; &amp;lt;var&amp;gt;T&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;
|&amp;lt;var&amp;gt;F, A&amp;lt;/var&amp;gt;&lt;br /&gt;
|peak frequencies (Hz) and magnitudes (dB); vectors of same length&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;M&amp;lt;/var&amp;gt;&lt;br /&gt;
|number of peaks in current frame&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;F0&amp;lt;/var&amp;gt;&lt;br /&gt;
|fundamental frequency (in Hz, used for voiced/unvoiced decisions, optional)&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;N&amp;lt;/var&amp;gt;&lt;br /&gt;
|maximum number of formant candidates to be saved&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;B&amp;lt;/var&amp;gt;&lt;br /&gt;
|bandwidth (bias) for tracking (in Hz)&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;T&amp;lt;/var&amp;gt;&lt;br /&gt;
|minimum track duration (in frames)&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;MODE&amp;lt;/var&amp;gt;&lt;br /&gt;
|output mode&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;TABLE&amp;lt;/var&amp;gt;&lt;br /&gt;
|name of parameter table&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;var&amp;gt;COL&amp;lt;/var&amp;gt;&lt;br /&gt;
|first column of table to be used for formant data&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=====Outputs:=====&lt;br /&gt;
&lt;br /&gt;
None; output values are stored in the table&lt;br /&gt;
&lt;br /&gt;
=====Function:=====&lt;br /&gt;
&lt;br /&gt;
This module extracts formant tracks from the input peak data. The input vectors &amp;lt;var&amp;gt;F&amp;lt;/var&amp;gt; and &amp;lt;var&amp;gt;A&amp;lt;/var&amp;gt; are the frequencies and magnitudes of local maxima (peaks) of the LPC- or cepstrum-smoothed spectrum (of a speech signal). While the atom is active (running) the input data is collected and stored in a time-frequency matrix. When the atom is stopped the tracking algorithm is applied to the matrix.&lt;br /&gt;
&lt;br /&gt;
The tracking algorithm tries to create non-crossing formant tracks using a forward/backward search and connection method with a minimum peak-frequency distance criterion. Isolated peaks and chains with a duration shorter than T frames are removed from the matrix. The extracted and sorted formant tracks are stored in the table.&lt;br /&gt;
&lt;br /&gt;
If the &amp;lt;var&amp;gt;F0&amp;lt;/var&amp;gt; input is connected, formants tracks are only computed for voiced frames (with &amp;lt;var&amp;gt;F0&amp;lt;/var&amp;gt;&amp;gt;&amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
Table 9: Format of formant data table selected by input MODE&lt;br /&gt;
&lt;br /&gt;
{|&lt;br /&gt;
|-&lt;br /&gt;
|value of MODE&lt;br /&gt;
|values stored in table&lt;br /&gt;
(track index: i = 0..N-1, frame index: t = 0,1,..)&lt;br /&gt;
|number of cols.&lt;br /&gt;
|-&lt;br /&gt;
|0&lt;br /&gt;
|frequencies:TABLE[t,COL+I] = fi&lt;br /&gt;
|N&lt;br /&gt;
|-&lt;br /&gt;
|1&lt;br /&gt;
|frequencies and magnitudes:TABLE[t,COL+2i]=fi and TABLE[t,COL+2i+1]=ai&lt;br /&gt;
|2N&lt;br /&gt;
|-&lt;br /&gt;
|2&lt;br /&gt;
|frequencies and magnitudes:TABLE[t,COL+i]=fi and TABLE[t,COL+N+i]=ai&lt;br /&gt;
|2N&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bias B is used in the tracking method for the distance computation:&lt;br /&gt;
&lt;br /&gt;
[[File:1234.png]]&lt;br /&gt;
&lt;br /&gt;
with:&lt;br /&gt;
&lt;br /&gt;
fi frequency of formant candidate in frame t&lt;br /&gt;
fj frequency of formant candidate in frame t+1&lt;br /&gt;
di,j distance of formant candidates&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
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