Scheduled System Maintenance:
On May 6th, system maintenance will take place from 8:00 AM - 12:00 PM ET (12:00 - 16:00 UTC). During this time, there may be intermittent impact on performance. We apologize for the inconvenience.
By Topic

The polarization of a complex vector in higher dimensions

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Nguyen, D.B. ; Dept. of Therapeutic Radiol., Yale Univ. Sch. of Med., New Haven, CT, USA ; Strohbehn, J.W.

The use of trigonometric identities facilitates the determination of the polarization of a vector quantity in two dimensions, but becomes rapidly unwieldy in higher dimensions. Instead, the polarization can be obtained from simple algebraic considerations when the problem is viewed as an eigenvalue-eigenvector problem. The authors derive the formulas, show that, regardless of the dimension, the eigenvalue may assume at most only two values, and conclude that because of this fact, the polarization of a complex vector is a two-dimensional concept with no higher dimensional analog

Published in:

Antennas and Propagation, IEEE Transactions on  (Volume:39 ,  Issue: 4 )