Title :
Further results on optimal signaling over secure MIMO channels
Author :
Loyka, Sergey ; Charalambous, Charalambos D.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Univ. of Ottawa, Ottawa, ON, Canada
Abstract :
Optimal signalling over the wire-tap MIMO Gaussian channel is studied under the total transmit power constraint. The recent results are extended in several directions, including a rank-deficient solution for the optimal covariance, lower and upper capacity bounds for the general case, and characterization of optimality of the isotropic signaling. An isotropic eavesdropper model is studied, which provides (tight) upper and lower capacity bounds for the non-isotropic case and also serves as the worst-case scenario. The optimal signaling for this model is obtained in an explicit form and its properties are studied, including the high and low-SNR behavior, the conditions for the eavesdropper to be negligible and the capacity saturation effect.
Keywords :
Gaussian channels; MIMO communication; covariance matrices; telecommunication security; SNR; capacity bound; capacity saturation effect; isotropic eavesdropper model; isotropic signaling; optimal covariance; optimal signaling; rank-deficient solution; secure MIMO channel; total transmit power constraint; wire-tap MIMO Gaussian channel; Educational institutions; Eigenvalues and eigenfunctions; Information theory; MIMO; Resource management; Signal to noise ratio; Transmitters;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620580