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On the Secrecy Rate of Multi-Antenna Wiretap Channel under Finite-Alphabet Input

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3 Author(s)
Bashar, S. ; Dept. of Electr. & Comput. Eng., Univ. of California, Davis, CA, USA ; Zhi Ding ; Chengshan Xiao

This work investigates the effect of limiting source signals to finite-alphabet on the secrecy rate of a multi-antenna wiretap system. Existing works have characterized maximum achievable secrecy rate or secrecy capacity for single- and multi-antenna systems based on Gaussian source signals and secrecy code. Despite the impracticality of Gaussian source, its compact closed-form expression of mutual information motivated broad use of Gaussian input assumption. For practical consideration, we study the effect of finite discrete-constellation on instantaneous and ergodic secrecy rate of multiple-antenna wire-tap channels. Our results demonstrate substantial difference between systems involving finite-alphabet inputs and systems with Gaussian inputs. Results from Gaussian inputs serve as upper-bound of secrecy rate for practical systems with finite alphabet inputs.

Published in:

Communications Letters, IEEE  (Volume:15 ,  Issue: 5 )