On Gaussian Wiretap Channels with M-PAM Inputs

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2010

Autores

Miguel Rodrigues (Autor) FCUP; A. Somekh-Baruch (Autor) Outra; M. B. Bloch (Autor) Outra

Ata de Conferência Internacional

Título: 2010 European Wireless Conference, EW 2010

Páginas: 1-8

EW 2010

Lucca, Italy, 12-15 April 2010

Indexação

COMPENDEX

Classificação Científica

FOS: Ciências exactas e naturais > Ciências da computação e da informação

CORDIS: Ciências Físicas > Ciência de computadores

Outras Informações

Abstract (EN): This paper investigates the secrecy capacity of the Gaussian wiretap channel with M-PAM inputs, by capitalizing on the relationship between mutual information and minimum mean squared error (MMSE). In particular, we establish optimality conditions for both the M-PAM input power and the M-PAM input distribution, which we specialize to the asymptotic low-power and high-power regimes. By using the properties of the MMSE to establish sufficient conditions for the uniqueness of the solution of some of the underlying non-convex optimization problems, we also propose efficient algorithms to compute the optimal solutions. Interestingly, we show that with M-PAM inputs it is sub-optimal to use all the available power for some range of parameters - this is in sharp contrast to standard Gaussian channels. We also extend the results to the parallel Gaussian wiretap channel with M-PAM inputs. We put forth a mercury-waterfilling interpretation of the optimal power allocation procedure for parallel Gaussian wiretap channels which generalizes the conventional mercury-waterfilling interpretation for parallel Gaussian channels, with the mercury level amending the base level to account for both the non-Gaussianess of the input and the secrecy constraint.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Notas: ISBN-13: 9781424459995; DOI: 10.1109/EW.2010.5483475. - Publisher: IEEE Computer Society. - Main Heading: Gaussian distribution.