<?xml version="1.0" encoding="UTF-8"?>
<!--
This file is part of the Scilab time frequency toolbox.
This file must be used under the terms of the  terms of the GNU General Public License 
as published by the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.

Copyright (c) 1996 by CNRS (France)
-->



<refentry xml:id="gaussn" 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:scilab="http://www.scilab.org"
          xmlns:ns3="http://www.w3.org/1999/xhtml"
          xmlns:mml="http://www.w3.org/1998/Math/MathML"
          xmlns:db="http://docbook.org/ns/docbook">

  
  <refnamediv>
    <refname>gaussn</refname>
    <refpurpose>generates the order n derivative of the gaussian
    window, centered at frequency f0</refpurpose>
  </refnamediv>



  <refsynopsisdiv>
    <title>Calling Sequence</title>
    <synopsis>
      gn = gaussn(f0,n)
    </synopsis>
  </refsynopsisdiv>

  <refsection>
    <title>Parameters</title>
    <variablelist>
      <varlistentry>
        <term>f0:</term> 
        <listitem>
          <para>
            a positive scalar in ]0 0.5], the normalized center
          frequency  in (Hz).</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>n :</term>
        <listitem>
          <para>a  positive integer; the order of derivation</para>
        </listitem>
      </varlistentry>
      <varlistentry
          ><term>gn :</term>
      <listitem>
        <para>a real row vector the coefficients of the nth order derivative.</para>
      </listitem>
      </varlistentry>

    </variablelist>
  </refsection>

  <refsection>
    <title>Description</title>
    <para>
      The wavelet gn is real, but it is its analytic form that is
      synthetized first. The real part is then normalized by the analytical
      value of its energy (so, L2 normalization!)
    </para>
  </refsection>

  <refsection>
    <title>Authors</title>
    <simplelist type="vert">
      <member>H. Nahrstaedt</member>
    </simplelist>
  </refsection>
</refentry>
