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	<id>http://debianws.lexgopc.com/wiki143/index.php?action=history&amp;feed=atom&amp;title=Polyphase_sequence</id>
	<title>Polyphase sequence - Revision history</title>
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	<updated>2026-10-26T02:23:05Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://debianws.lexgopc.com/wiki143/index.php?title=Polyphase_sequence&amp;diff=7973009&amp;oldid=prev</id>
		<title>imported&gt;Sammi Brie: Adding short description: &quot;Sequence whose terms are complex roots of unity&quot; (Shortdesc helper)</title>
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		<updated>2021-10-05T19:02:05Z</updated>

		<summary type="html">&lt;p&gt;Adding &lt;a href=&quot;https://en.wikipedia.org/wiki/Short_description&quot; class=&quot;extiw&quot; title=&quot;wikipedia:Short description&quot;&gt;short description&lt;/a&gt;: &amp;quot;Sequence whose terms are complex roots of unity&amp;quot; (&lt;a href=&quot;https://en.wikipedia.org/wiki/Shortdesc_helper&quot; class=&quot;extiw&quot; title=&quot;wikipedia:Shortdesc helper&quot;&gt;Shortdesc helper&lt;/a&gt;)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Short description|Sequence whose terms are complex roots of unity}}&lt;br /&gt;
In mathematics, a &amp;#039;&amp;#039;&amp;#039;polyphase sequence&amp;#039;&amp;#039;&amp;#039; is a sequence whose terms are [[complex number|complex]] [[root of unity|roots of unity]]:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;a_n = e^{i\frac{2\pi}{q}x_n} \, &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;#039;&amp;#039;x&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;lt;/sub&amp;gt; is an [[integer]].&lt;br /&gt;
&lt;br /&gt;
Polyphase sequences are an important class of sequences and play important roles in synchronizing sequence design.&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[Zadoff–Chu sequence]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
*{{cite book |first=Pingzhi |last=Fan |first2=Michael |last2=Darnell |title=Sequence Design for Communications Applications |publisher=Research Studies Press |year=1996 |isbn=047196557X }}&lt;br /&gt;
&lt;br /&gt;
[[Category:Sequences and series]]&lt;/div&gt;</summary>
		<author><name>imported&gt;Sammi Brie</name></author>
	</entry>
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