Title :
On the secure DoF of the single-antenna MAC
Author :
Bagherikaram, Ghadamali ; Motahari, Abolfazl S. ; Khandani, Amir K.
Author_Institution :
Coding & Signal Transm. Lab., Univ. of Waterloo, Waterloo, ON, Canada
Abstract :
A new achievability rate region for the secure discrete memoryless Multiple-Access-Channel (MAC) is presented. Thereafter, a novel secure coding scheme is proposed to achieve a positive Secure Degrees-of-Freedom (S-DoF) in the single-antenna MAC. This scheme converts the single-antenna system into a multiple-dimension system with fractional dimensions. The achievability scheme is based on the alignment of signals into a small sub-space at the eavesdropper, and the simultaneous separation of the signals at the intended receiver. Tools from the field of Diophantine Approximation in number theory are used to analyze the probability of error in the coding scheme.
Keywords :
access protocols; antennas; approximation theory; encoding; error statistics; telecommunication security; Diophantine approximation; achievability scheme; error probability; number theory; secure coding scheme; secure degrees of freedom; secure discrete memoryless multiple access channel; single antenna MAC; Communication systems; Degradation; Gaussian channels; Information theory; Interference; Laboratories; Lattices; MIMO; Power engineering and energy; Transmitters;
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
DOI :
10.1109/ISIT.2010.5513787