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	<title>Programmer Guide/SPU Reference/F0AC - Revision history</title>
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	<updated>2026-05-06T10:58:05Z</updated>
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		<title>Toni: moved Programmer Guide/SPU Reference/F0AC - F0 detection using autocorrelation to Programmer Guide/SPU Reference/F0AC</title>
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		<updated>2011-04-20T13:13:11Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/F0AC_-_F0_detection_using_autocorrelation&quot; class=&quot;mw-redirect&quot; title=&quot;Programmer Guide/SPU Reference/F0AC - F0 detection using autocorrelation&quot;&gt;Programmer Guide/SPU Reference/F0AC - F0 detection using autocorrelation&lt;/a&gt; to &lt;a href=&quot;/stx/docs/wiki/index.php/Programmer_Guide/SPU_Reference/F0AC&quot; title=&quot;Programmer Guide/SPU Reference/F0AC&quot;&gt;Programmer Guide/SPU Reference/F0AC&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:13, 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>2010-11-18T16:31:56Z</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;
====F0AC - F0 detection using autocorrelation====&lt;br /&gt;
&lt;br /&gt;
The autocorrelation function is first applied to all &amp;lt;code&amp;gt;N&amp;lt;/code&amp;gt; windowed frames. The maximum number of candidates (&amp;lt;var&amp;gt;MaxNCandidates&amp;lt;/var&amp;gt;) are stored for each frame. The result is a &amp;lt;var&amp;gt;MaxNCandidates&amp;lt;/var&amp;gt; x &amp;lt;code&amp;gt;N&amp;lt;/code&amp;gt; matrix. The cheapest path through this matrix is found using the Viterbi algorithm. The output is a shell table item which contains the f0-values and the center window positions.&lt;br /&gt;
&lt;br /&gt;
The algorithm used is described in detail in: BOERSMA, Paul (1993): Accurate Short-Term Analysis of the Fundamental Frequency and the Harmonics-To-Noise Ratio of a Sampled Sound. Proceedings of the IFA. Vol 17. pp 97-110&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;FOAC &amp;lt;var&amp;gt;WaveItem DeltaT MinimumPitch PeriodsPerWindow MaxNCandidates SilenceThreshold VoicingThreshold OctaveCost OctaveJumpCost VoicedUnvoicedCost MaximumPitch F0Table&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;WaveItem&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The id of the wave item to analyse.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;DeltaT&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The window shift in seconds (expert parameter!; If 0, then &amp;lt;var&amp;gt;DeltaT&amp;lt;/var&amp;gt; is computed automatically by &amp;lt;code&amp;gt;F0AC&amp;lt;/code&amp;gt;)&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;MinimumPitch&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The lower pitch boundary in Hz.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;PeriodsPerWindow&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The number of periods to fit in an analysis window.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;MaxNCandidates&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The maximum number of autocorrelation candidates for every frame. For every frame a number of f0-candidates (including voiceless candidates) are computed. The atom searches finally one trace through these candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;SilenceThreshold&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The value for the computation of the strengths of the f0-candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;VoicingThreshold&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The value for the computation of the strengths of the f0-candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;OctaveCost&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The value for the computation of the strengths of the f0-candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;OctaveJumpCost&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The value for the computation of the strengths of the f0-candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;VoicedUnvoicedCost&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The value for the computation of the strengths of the f0-candidates.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;MaximumPitch&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The upper pitch boundary in Hz.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;F0Table&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The shell table item for the result (has to be a 2-column table), column &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt; contains f0-values, column &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt; the center window positions.&lt;br /&gt;
&lt;br /&gt;
=====Outputs:=====&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;NFrames&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The number of frames.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;NSampWindow&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The number of samples for the analysis window.&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;DeltaTOut&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The &amp;lt;var&amp;gt;DeltaT&amp;lt;/var&amp;gt; which was actually used (useful if &amp;lt;var&amp;gt;DeltaT&amp;lt;/var&amp;gt; was automatically calculated).&lt;br /&gt;
&lt;br /&gt;
;&amp;lt;var&amp;gt;x1&amp;lt;/var&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:The position of the first frame.&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
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