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<?xml version="1.0" encoding="UTF-8"?>
<!--
*
* This help file was generated from rc2poly.sci using help_from_sci().
*kr: Refelection coefficient.
// R0: the zero lag autocorrelation, R0.
// a: Return the prediction polynomial.
// efinal: Return the final prediction error.
-->
<refentry version="5.0-subset Scilab" xml:id="rc2poly" xml:lang="en"
xmlns="http://docbook.org/ns/docbook"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:ns3="http://www.w3.org/1999/xhtml"
xmlns:mml="http://www.w3.org/1998/Math/MathML"
xmlns:scilab="http://www.scilab.org"
xmlns:db="http://docbook.org/ns/docbook">
<refnamediv>
<refname>rc2poly</refname>
<refpurpose>Convert reflection coefficients to prediction filter polynomial</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
a = rc2poly(kr)
[a, efinal] = rc2poly(kr,R0)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry><term>kr:</term>
<listitem><para>Reflection coefficients.</para></listitem></varlistentry>
<varlistentry><term>R0:</term>
<listitem><para>The zero-lag autocorrelation.</para></listitem></varlistentry>
<varlistentry><term>a:</term>
<listitem><para>Prediciton polynomial.</para></listitem></varlistentry>
<varlistentry><term>efinal:</term>
<listitem><para>the final prediction error.</para></listitem></varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>a = rc2poly(k) converts the reflection coefficients k corresponding to the lattice structure to the prediction filter polynomial a, with a(1) = 1.</para>
<para>The output a is row vector of length length(k) + 1.</para>
<para>[a,efinal] = rc2poly(k,r0) returns the final prediction error efinal based on the zero-lag autocorrelation, r0.</para>
</refsection>
<refsection>
<title>Example</title>
<programlisting role="example"><![CDATA[
k = [0.3090 0.9800 0.0031 0.0082 -0.0082];
a = rc2poly(k)
//EXPECTED OUTPUT:a= 1. 0.6148162 0.9898814 0.0000243 0.0031580 - 0.0082
]]></programlisting>
</refsection>
</refentry>
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