File: transforms_hilbert.html

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">

<HTML>
<HEAD>
<TITLE>HILBERT Hilbert Transform
</TITLE>
</HEAD>
<BODY>
<H2>HILBERT Hilbert Transform
</H2>
<P>
Section: <A HREF=sec_transforms.html> Transforms/Decompositions </A>
<H3>Usage</H3>
The <code>hilbert</code> function computes the hilbert transform of the argument
vector or matrix.  The FreeMat <code>hilbert</code> function is compatible with
the one from the MATLAB API.  This means that the output of the
<code>hilbert</code> function is the sum of the original function and an
imaginary signal containing the Hilbert transform of it.  There are
two syntaxes for the hilbert function.  The first is
<PRE>
  y = hilbert(x)
</PRE>
<P>
where <code>x</code> is real vector or matrix.  If <code>x</code> is a matrix, then he
Hilbert transform is computed along the columns of <code>x</code>.  The
second syntax provides a dimension along which to take the
transform.
<PRE>
  y = hilbert(x,n)
</PRE>
<P>
where <code>n</code> is the dimension along which to apply the transformation.
</BODY>
</HTML>