ANGLE Phase Angle Function

Section: Mathematical Functions

Usage

Compute the phase angle in radians of a complex matrix. The general syntax for its use is
  p = angle(c)

where c is an n-dimensional array of numerical type.

Function Internals

For a complex number x, its polar representation is given by

and we can compute

Example

Here are some examples of the use of angle in the polar decomposition of a complex number.
--> x = 3+4*i
x = 
  <dcomplex>  - size: [1 1]
  3+ 4i  
--> a = abs(x)
a = 
  <double>  - size: [1 1]
 5  
--> t = angle(x)
t = 
  <double>  - size: [1 1]
 0.9272952180016122  
--> a*exp(i*t)
ans = 
  <dcomplex>  - size: [1 1]
 3.0000000000000004+3.9999999999999996i  

M version contributor: M.W. Vogel 01-30-06