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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
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
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