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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
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<TITLE>ANGLE Phase Angle Function
</TITLE>
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<BODY>
<H2>ANGLE Phase Angle Function
</H2>
<P>
Section: <A HREF=sec_mathfunctions.html> Mathematical Functions </A>
<H3>Usage</H3>
Compute the phase angle in radians of a complex matrix. The general
syntax for its use is
<PRE>
p = angle(c)
</PRE>
<P>
where <code>c</code> is an <code>n</code>-dimensional array of numerical type.
<H3>Function Internals</H3>
For a complex number <code>x</code>, its polar representation is
given by
<P>
<DIV ALIGN="CENTER">
<IMG SRC="angle_eqn1.png">
</DIV>
<P>
and we can compute
<P>
<DIV ALIGN="CENTER">
<IMG SRC="angle_eqn2.png">
</DIV>
<P>
<H3>Example</H3>
Here are some examples of the use of <code>angle</code> in the polar decomposition
of a complex number.
<PRE>
--> x = 3+4*i
x =
3.0000 + 4.0000i
--> a = abs(x)
a =
5
--> t = angle(x)
t =
0.9273
--> a*exp(i*t)
ans =
3.0000 + 4.0000i
</PRE>
<P>
M version contributor: M.W. Vogel 01-30-06
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