Imperial College London
Alternate

ProfessorAthanassiosManikas

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Communications and Array Processing
 
 
 
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Contact

 

+44 (0)20 7594 6266a.manikas Website

 
 
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Assistant

 

Miss Vanessa Rodriguez-Gonzalez +44 (0)20 7594 6267

 
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Location

 

801Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Manikas:2013:10.1109/JSTSP.2013.2257679,
author = {Manikas, A and Commin, H and Sleiman, A},
doi = {10.1109/JSTSP.2013.2257679},
journal = {IEEE Journal of Selected Topics in Signal Processing},
pages = {670--680},
title = {Array Manifold Curves in C^N and their Complex Cartan Matrix},
url = {http://dx.doi.org/10.1109/JSTSP.2013.2257679},
volume = {7},
year = {2013}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The differential geometry of array manifold curves has been investigated extensively in the literature, leading to numerous applications. However, the existing differential geometric framework restricts the Cartan matrix to be purely real and so the vectors of the moving frame U(s) are found to be orthogonal only in the wide sense (i.e. only the real part of their inner product is equal to zero). Imaginary components are then accounted for separately using the concept of the inclination angleof the manifold. The purpose of this paper is therefore to present an alternativetheoretical framework which allows the manifold curve in CN to be characterised in a more convenient and direct manner. A continuously differentiable strictly orthonormal basis is established and forms a platform for deriving a generalised complexCartan matrix with similar properties to those established under the previous framework. Concepts such as the radius of circular approximation, the manifold curve radii vector and the frame matrix are also revisited and rederived under this new framework.
AU  - Manikas,A
AU  - Commin,H
AU  - Sleiman,A
DO  - 10.1109/JSTSP.2013.2257679
EP  - 680
PY  - 2013///
SN  - 1932-4553
SP  - 670
TI  - Array Manifold Curves in C^N and their Complex Cartan Matrix
T2  - IEEE Journal of Selected Topics in Signal Processing
UR  - http://dx.doi.org/10.1109/JSTSP.2013.2257679
UR  - http://skynet.ee.ic.ac.uk/IEEE%20SP%20-%20Special%20Issue%20DG%20-%20Cartan.pdf
VL  - 7
ER  -
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