MATLAB Function Reference Volume 1: A - E - Bad Request

2angle
Purpose Phase angle
Syntax P = angle(Z)
Description P = angle(Z) returns the phase angles, in radians, for each element of
complex array Z. The angles lie between ±
π .
For complex Z, the magnitude and phase angle are given by
R = abs(Z) % magnitude
theta = angle(Z) % phase angle
and the statement
Z = R.*exp(i*theta)
converts back to the original complex Z.
angle
Examples Z =
1.0000 - 1.0000i 2.0000 + 1.0000i 3.0000 - 1.0000i 4.0000 + 1.0000i
1.0000 + 2.0000i 2.0000 - 2.0000i 3.0000 + 2.0000i 4.0000 - 2.0000i
1.0000 - 3.0000i 2.0000 + 3.0000i 3.0000 - 3.0000i 4.0000 + 3.0000i
1.0000 + 4.0000i 2.0000 - 4.0000i 3.0000 + 4.0000i 4.0000 - 4.0000i
P = angle(Z)
P =
-0.7854 0.4636 -0.3218 0.2450
1.1071 -0.7854 0.5880 -0.4636
-1.2490 0.9828 -0.7854 0.6435
1.3258 -1.1071 0.9273 -0.7854
Algorithm angle can be expressed as:
See Also abs, unwrap
angle(z) = imag(log(z)) = atan2(imag(z),real(z))
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