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<?xml version="1.0" encoding="UTF-8"?>
<!--
*
* This help file was generated from impzlength.sci using help_from_sci().
*
-->
<refentry version="5.0-subset Scilab" xml:id="impzlength" 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>impzlength</refname>
<refpurpose>Impulse response length</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
len=impzlength(b,a)
len=impzlength(sos)
len=impzlength(b,a,tol)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry><term>b:</term>
<listitem><para>Numerator coefficients. real|complex - vector|scalar</para></listitem></varlistentry>
<varlistentry><term>a:</term>
<listitem><para> Denominator coefficients. real|complex - vector|scalar</para></listitem></varlistentry>
<varlistentry><term>sos:</term>
<listitem><para> Second order estimates. real|complex - matrix (K-by-6)</para></listitem></varlistentry>
<varlistentry><term>tol:</term>
<listitem><para> Tolerance for estimating the effective length of an IIR filter impulse response. scalar</para></listitem></varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
len = impzlength(b, a, tol)
returns the impulse response length for the causal discrete-time filter
with the transfer function coefficients for numerator and denominator in
a and b respectively. For stable IIR filters, len is the effective length
impulse response length, i.e. the length after which the response is
essentially zero
len = impzlength(sos)
returns the impulse response length of the filter specified by second
order sections matrix. sos is a Kx6 matrix, where K is the number of
sections. Each row of the sos matrix corresponds to a second order
biquad filter
len = impzlength(__, tol)
specifies a tolerance for estimating the effective impulse response
length in case of an IIR filter. By default, tol is 5e-5. Increasing tol
leads to shorter len and vice-versa
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
//Low pass IIR filter with pole at 0.9
b = 1;
a = [1 -0.9];
len = impzlength(b,a);
//Expected Output :
//len=93
]]></programlisting>
</refsection>
<refsection>
<title>See also</title>
<simplelist type="inline">
<member><link linkend="impz"></link></member><para></para>
<member><link linkend="zp2sos"></link></member><para></para>
</simplelist>
</refsection>
<refsection>
<title>Authors</title>
<simplelist type="vert">
<member>Ayush Baid</member>
</simplelist>
</refsection>
</refentry>
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