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  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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<?xml version="1.0" encoding="UTF-8"?>
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<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns4="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="iir" xml:lang="en">
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  <refnamediv>
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    <refname>iir</refname>
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    <refpurpose>iir digital filter</refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>Calling Sequence</title>
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    <synopsis>
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      hz=iir(n,ftype,fdesign,frq,delta)
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      [p,z,g]=iir(n,ftype,fdesign,frq,delta)
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    </synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>Arguments</title>
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    <variablelist>
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      <varlistentry>
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        <term>n</term>
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        <listitem>
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          <para>positive number witn inteher value, the filter order.</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>ftype</term>
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        <listitem>
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          <para>string specifying the filter type, the possible values are:
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            <literal>'lp'</literal> for low-pass,<literal>'hp'</literal> for
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            high pass,<literal>'bp'</literal> for band pass and
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            <literal>'sb'</literal> for stop band.
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>fdesign</term>
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        <listitem>
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          <para>string specifying the analog filter design, the
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            possible values are: <literal>'butt'</literal>,
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            <literal>'cheb1'</literal>, <literal>'cheb2'</literal> and
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            <literal>'ellip'</literal>
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>frq</term>
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        <listitem>
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          <para>2-vector of discrete cut-off frequencies (i.e.,
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            <literal>0&lt;frq&lt;.5</literal>). For <literal>'lp'</literal> and
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            <literal>'hp'</literal> filters only <literal>frq(1)</literal> is
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            used. For <literal>'bp'</literal> and <literal>'sb'</literal> filters
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            <literal>frq(1)</literal> is the lower cut-off frequency and
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            <literal>frq(2)</literal> is the upper cut-off frequency
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>delta</term>
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        <listitem>
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          <para>
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            2-vector of error values for <literal>cheb1</literal>,
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            <literal>cheb2</literal>, and <literal>ellip</literal> filters where
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            only <literal>delta(1)</literal> is used for
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            <literal>cheb1</literal> case, only <literal>delta(2)</literal> is
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            used for <literal>cheb2</literal> case, and
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            <literal>delta(1)</literal> and <literal>delta(2)</literal> are both
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            used for <literal>ellip</literal> case.
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            <literal>0&lt;delta(1),delta(2)&lt;1</literal>
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          </para>
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          <itemizedlist>
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            <listitem>
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              <para>
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                for <literal>cheb1</literal> filters
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                <literal>1-delta(1)&lt;ripple&lt;1</literal> in passband
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              </para>
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            </listitem>
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            <listitem>
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              <para>
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                for <literal>cheb2</literal> filters
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                <literal>0&lt;ripple&lt;delta(2)</literal> in stopband
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              </para>
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            </listitem>
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            <listitem>
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              <para>
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                for <literal>ellip</literal> filters
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                <literal>1-delta(1)&lt;ripple&lt;1</literal> in passband and
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                <literal>0&lt;ripple&lt;delta(2)</literal> in stopband
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              </para>
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            </listitem>
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          </itemizedlist>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>hz</term>
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        <listitem>
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          <para>a single input single output discrete transfer function, the low pass filter</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>p</term>
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        <listitem>
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          <para>vector of transformed filter zeros.</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>z</term>
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        <listitem>
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          <para>vector of transformed filter poles.</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>g </term>
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        <listitem>
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          <para>a scalar: transformed filter gain.</para>
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        </listitem>
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      </varlistentry>
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    </variablelist>
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  </refsection>
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  <refsection>
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    <title>Description</title>
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    <para>
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      function which designs an iir digital filter using <link linkend="analpf">analog filter</link> designs and <link linkend="bilt">bilinear transformation</link> .
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    </para>
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  </refsection>
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  <refsection>
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    <title>Examples</title>
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    <programlisting role="example"><![CDATA[ 
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hz=iir(3,'bp','ellip',[.15 .25],[.08 .03]);
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[hzm,fr]=frmag(hz,256);
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plot2d(fr',hzm')
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xtitle('Discrete IIR filter band pass  0.15 < fr < 0.25 ',' ',' ');
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q=poly(0,'q');     //to express the result in terms of the delay operator q=z^-1
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hzd=horner(hz,1/q) 
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//Poles Zeros Gain filter representation
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[p,z,g]=iir(3,'bp','ellip',[.15 .25],[.08 .03]);
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g*poly(z,'z')/poly(p,'z')
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 ]]></programlisting>
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  </refsection>
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  <refsection role="see also">
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    <title>See Also</title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="eqfir">eqfir</link>
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      </member>
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      <member>
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        <link linkend="eqiir">eqiir</link>
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      </member>
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      <member>
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        <link linkend="analpf">analpf</link>
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      </member>
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      <member>
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        <link linkend="bilt">bilt</link>
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      </member>
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    </simplelist>
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  </refsection>
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</refentry>