On Gaussian Wiretap Channels with M-PAM Inputs

• Type: Article in International Conference Proceedings Book
• Date: 2010

Authors

Miguel Rodrigues (Author) FCUP; A. Somekh-Baruch (Author) Other; M. B. Bloch (Author) Other

Conference proceedings International

Title: 2010 European Wireless Conference, EW 2010

Pages: 1-8

EW 2010

Lucca, Italy, 12-15 April 2010

Indexing

COMPENDEX

Scientific classification

FOS: Natural sciences > Computer and information sciences

CORDIS: Physical sciences > Computer science

Other information

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.

Language: English

Type (Professor's evaluation): Scientific

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