Abstract
In this text we propose a model of antennas network. The goal is to understand the challenges encountered in power and cost optimisation in order to enhance the efficiency of the system respecting the maximal prescribed power levels locally.
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Notes
- 1.
We set (e 1, e 2, e 3) = {(1,  0,  0),  (0,  1,  0),  (0,  0,  1)}.
- 2.
(d 1, d 2) = {(1,  0),  (0,  1)}.
References
Allaire, G. and Craig A., Numerical Analysis and Optimization. Numerical Mathematics and Scientific Computation, OUP Oxford , 2007.
Blanchard P., Brüning E., Schwartz Distributions. In: Mathematical Methods in Physics. Progress in Mathematical Physics, vol 26. Birkhäuser, pp 27–45, Boston, MA, 2003.
Jackson J.D., Classical Electrodynamics, 2nd Ed. Wiley 1975.
Lions J.-L. et al, Mathematical Analysis and Numerical Methods for Science and Technology: Volume 2 Functional and Variational Methods, Springer Berlin Heidelberg, 1999.
Acknowledgements
I thank Christophe Picard for his carefully reading this article and his pertinent remarks and propositions.
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Labbé, S. (2020). Networks of Antennas: Power Optimization. In: Lindner, E., Micheletti, A., Nunes, C. (eds) Mathematical Modelling in Real Life Problems. Mathematics in Industry(), vol 33. Springer, Cham. https://doi.org/10.1007/978-3-030-50388-8_12
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DOI: https://doi.org/10.1007/978-3-030-50388-8_12
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