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  <refnamediv>
    <refname>durbinlevinson</refname>
    <refpurpose>Perform one step of the Durbin-Levinson algorithm.</refpurpose>
  </refnamediv>


<refsynopsisdiv>
   <title>Syntax</title>
   <synopsis>
   [newphi, newv] = durbinlevinson(c)
   [newphi, newv] = durbinlevinson(c, oldphi)
   [newphi, newv] = durbinlevinson(c, oldphi, oldv)
   
   </synopsis>
</refsynopsisdiv>

<refsection>
   <title>Parameters</title>
   <variablelist>
        <varlistentry>
            <term>c:</term>
            <listitem><para> Vector. Specifies the autocovariances '[gamma_0, ..., gamma_t]' from lag 0 to t.</para></listitem>
        </varlistentry>
        <varlistentry>
            <term>oldphi:</term>
            <listitem><para> Vector. Specifies the coefficients based on c(t-1).</para></listitem>
        </varlistentry>
        <varlistentry>
            <term>oldv:</term>
            <listitem><para> Scalar. Specifies the corresponding error.</para></listitem>
        </varlistentry>
        <varlistentry>
            <term>newphi:</term>
            <listitem><para> Vector. The updated coefficients after one step of the Durbin-Levinson algorithm.</para></listitem>
        </varlistentry>
        <varlistentry>
            <term>newv:</term>
            <listitem><para> Scalar. The updated error after one step of the Durbin-Levinson algorithm.</para></listitem>
        </varlistentry>
   </variablelist>
</refsection>

<refsection>
   <title>Description</title>
   <para>
Perform one step of the Durbin-Levinson algorithm. If 'oldphi' and 'oldv' are omitted, all steps from 1 to t of the algorithm are performed.
   </para>
   <para>
</para>
</refsection>

<refsection>
   <title>Examples</title>
   <programlisting role="example"><![CDATA[
[newphi, newv] = durbinlevinson([1, 2, 3], 1, 2)

   ]]></programlisting>
</refsection>
</refentry>
