angle

Purpose

Phase angle.

P = angle(Z)

angle(Z) returns the phase angles, in radians, of the elements of complex matrix Z. The angles lie between -pi and pi.

For complex Z, the magnitude and phase are given by

r = abs(Z)
theta = angle(Z)

and the statement

Z = r.*exp(i*theta)

converts back to the original complex Z.

angle can be expressed as:

angle(Z) = imag(log(Z)) = atan2(imag(Z),real(Z))