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angle in Matlab

angle

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 .

For complex Z, the magnitude R and phase angle theta are given by
R = abs(Z)
theta = angle(Z)

and the statement
Z = R.*exp(i*theta)

converts back to the original complex Z.
Examples
Z = [ 1 - 1i 2 + 1i 3 - 1i 4 + 1i
1 + 2i 2 - 2i 3 + 2i 4 - 2i
1 - 3i 2 + 3i 3 - 3i 4 + 3i
1 + 4i 2 - 4i 3 + 4i 4 - 4i ]

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

The angle function can be expressed as angle(z) = imag(log(z)) = atan2(imag(z),real(z)).
See Also

abs, atan2, unwrap
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Green Bank Telescope Enables "Intensity Mapping" to Shed Light on Mysteries of Dark Energy

Photo of the Robert C. Byrd Green Bank Telescope.

Using the world's largest, fully steerable radio telescope--the National Science Foundation's Robert C. Byrd Green Bank Telescope (GBT) in W.Va.--an international team of researchers has given astronomers the promise of a new tool for mapping the universe and gaining valuable clues about the nature of the mysterious "dark energy" believed to constitute nearly three-fourths of the universe's mass and energy. "Intensity Mapping" offers the potential for ...

More at http://www.nsf.gov/news/news_summ.jsp?cntn_id=117366&WT.mc_id=USNSF_51&WT.mc_ev=click


This is an NSF News item.

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