Title | ||
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On the Capacity Achieving Input of Amplitude Constrained Vector Gaussian Wiretap Channel. |
Abstract | ||
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This paper studies secrecy-capacity of an $n$-dimensional Gaussian wiretap channel under the peak-power constraint. This work determines the largest peak-power constraint $\bar{\mathsf{R}}_n$ such that an input distribution uniformly distributed on a single sphere is optimal; this regime is termed the small-amplitude regime. The asymptotic of $\bar{\mathsf{R}}_n$ as $n$ goes to infinity is completely characterized as a function of noise variance at both receivers. Moreover, the secrecy-capacity is also characterized in a form amenable for computation. Furthermore, several numerical examples are provided, such as the example of the secrecy-capacity achieving distribution outside of the small amplitude regime. |
Year | DOI | Venue |
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2022 | 10.1109/ISIT50566.2022.9834274 | International Symposium on Information Theory (ISIT) |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Antonino Favano | 1 | 0 | 0.34 |
Luca Barletta | 2 | 0 | 0.68 |
Alex Dytso | 3 | 45 | 20.03 |