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<?xml version="1.0" encoding="UTF-8"?>
<!--
*
* This help file was generated from hilbert1.sci using help_from_sci().
*
-->
<refentry version="5.0-subset Scilab" xml:id="hilbert1" 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>hilbert1</refname>
<refpurpose>Analytic extension of real valued signal.</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
h= hilbert1(f)
h= hilbert1(f,N)
h= hilbert1(f,N,dim)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry><term>f:</term>
<listitem><para> real or complex valued scalar or vector</para></listitem></varlistentry>
<varlistentry><term>N:</term>
<listitem><para> The result will have length N</para></listitem></varlistentry>
<varlistentry><term>dim :</term>
<listitem><para> It analyses the input in this dimension</para></listitem></varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
h = hilbert1 (f) computes the extension of the real valued signal f to an analytic signal. If f is a matrix, the transformation is applied to each column. For N-D arrays, the transformation is applied to the first non-singleton dimension.
</para>
<para>
real (h) contains the original signal f. imag (h) contains the Hilbert transform of f.
</para>
<para>
hilbert1 (f, N) does the same using a length N Hilbert transform. The result will also have length N.
</para>
<para>
hilbert1 (f, [], dim) or hilbert1 (f, N, dim) does the same along dimension dim.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
## notice that the imaginary signal is phase-shifted 90 degrees
t=linspace(0,10,256);
z = hilbert1(sin(2*pi*0.5*t));
grid on; plot(t,real(z),';real;',t,imag(z),';imag;');
]]></programlisting>
</refsection>
</refentry>
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