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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Denavit%E2%80%93Hartenberg_parameters&amp;diff=21631</id>
		<title>Denavit–Hartenberg parameters</title>
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		<updated>2013-11-04T15:20:45Z</updated>

		<summary type="html">&lt;p&gt;217.68.101.68: /* Use of Denavit and Hartenberg matrices */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The &#039;&#039;&#039;log-spectral distance (LSD)&#039;&#039;&#039;, also referred to as &#039;&#039;&#039;log-spectral distortion&#039;&#039;&#039;, is a distance measure (expressed in dB) between two spectra. The log-spectral distance between spectra &amp;lt;math&amp;gt;P\left(\omega\right)&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\hat{P}\left(\omega\right)&amp;lt;/math&amp;gt; is defined as:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;D_{LS}=\sqrt{\frac{1}{2\pi} \int_{-\pi}^\pi \left[ 10\log_{10} \frac{P(\omega)}{\hat{P}(\omega)} \right]^2 \,d\omega },&amp;lt;/math&amp;gt;&lt;br /&gt;
where &amp;lt;math&amp;gt;P\left(\omega\right)&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\hat{P}\left(\omega\right)&amp;lt;/math&amp;gt; are power spectra.&lt;br /&gt;
Unlike the [[Itakura–Saito distance]], the log-spectral distance is symmetric.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Itakura–Saito distance]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Signal processing]]&lt;br /&gt;
&lt;br /&gt;
{{compu-stub}}&lt;br /&gt;
{{Signal-processing-stub}}&lt;/div&gt;</summary>
		<author><name>217.68.101.68</name></author>
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