Abstract
The secure degrees of freedom (s.d.o.f.) of a multiantenna Gaussian wiretap channel with N antennas at the transmitter and receiver and an arbitrary number of antennas, M, at the wiretapper is characterized when a multiantenna cooperative jammer (CJ) is available as a helper. This generalizes our previous result that assumed the same number of antennas at the eavesdropper as the legitimate parties. In particular, for arbitrary values of N and M, the s.d.o.f. is derived for all possible values of the number of antennae at the CJ, K. The achievability is based on a variety of signaling, beamforming, and alignment techniques which vary according to the value of K, whether M is larger than, smaller than, or equal to N, and whether the s.d.o.f. is integer valued or not an integer. The converse is based on combining an upper bound for the s.d.o.f. which allows for cooperation between the transmitter and CJ and holds for some values of K, with another upper bound which exploits the secrecy and reliability constraints and holds for other values of K.
Recommended Citation
M. Nafea and A. Yener, "Secure Degrees of Freedom of N ×n ×m Wiretap Channel with a K-Antenna Cooperative Jammer," IEEE International Conference on Communications, pp. 4169 - 4174, article no. 7248977, Institute of Electrical and Electronics Engineers, Sep 2015.
The definitive version is available at https://doi.org/10.1109/ICC.2015.7248977
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-146736432-4
International Standard Serial Number (ISSN)
1550-3607
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
09 Sep 2015
