On the Capacity Achieving Input of Amplitude Constrained Vector Gaussian Wiretap Channel

Autor:	Favano, A., Barletta, L., Dytso, A.
Rok vydání:	2022
Předmět:	FOS: Computer and information sciences Computer Science - Information Theory Information Theory (cs.IT) Computer Science::Cryptography and Security Computer Science::Information Theory
DOI:	10.48550/arxiv.2202.00586
Popis:	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. Comment: Extended version of a manuscript submitted to IEEE ISIT 2022
Databáze:	OpenAIRE
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