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A multiplicative Gaussian wire-tap channel inspired by compressed sensing is studied. Lower and upper bounds on the secrecy capacity are derived, and shown to be relatively tight in the large system limit for a large class of compressed…

Information Theory · Computer Science 2015-03-19 Galen Reeves , Naveen Goela , Nebojsa Milosavljevic , Michael Gastpar

The classical writing on dirty paper capacity result establishes that full interference pre-cancellation can be attained in Gelfand-Pinsker problem with additive state and additive white Gaussian noise. This result holds under the idealized…

Information Theory · Computer Science 2014-05-12 Stefano Rini , Shlomo Shamai

We propose the notion of secrecy gain as a code design criterion for wiretap lattice codes to be used over an additive white Gaussian noise channel. Our analysis relies on the error probabilites of both the legitimate user and the…

Information Theory · Computer Science 2010-07-09 Jean-Claude Belfiore , Frédérique Oggier

This paper presents two new results on multiple-input multiple-output (MIMO) Gaussian broadcast channels with confidential messages. First, the problem of the MIMO Gaussian wiretap channel is revisited. A matrix characterization of the…

Information Theory · Computer Science 2016-11-15 Ruoheng Liu , Tie Liu , H. Vincent Poor , Shlomo Shamai

We study the capacity of secret-key agreement over a wiretap channel with state parameters. The transmitter communicates to the legitimate receiver and the eavesdropper over a discrete memoryless wiretap channel with a memoryless state…

Information Theory · Computer Science 2016-11-18 Ashish Khisti , Suhas Diggavi , Gregory Wornell

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such that observing links in any permissible wiretap set reveals no information about the message. This paper…

Information Theory · Computer Science 2016-11-17 Tao Cui , Tracey Ho , Joerg Kliewer

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers via a Gaussian MIMO broadcast channel. A wire-tapper also receives the transmitted signal via another MIMO…

Information Theory · Computer Science 2009-05-01 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

We propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our security proof is the flatness factor which characterizes the convergence of the…

Information Theory · Computer Science 2016-11-18 Cong Ling , Laura Luzzi , Jean-Claude Belfiore , Damien Stehlé

In this paper, we present nontrivial upper and lower bounds on the secrecy capacity of the degraded Gaussian diamond-wiretap channel and identify several ranges of channel parameters where these bounds coincide with useful intuitions.…

Information Theory · Computer Science 2015-04-23 Si-Hyeon Lee , Ashish Khisti

Costa's "writing on dirty paper" capacity result establishes that full state pre-cancellation can be attained in Gelfand-Pinsker channel with additive state and additive Gaussian noise. The "carbon copy onto dirty paper" channel is the…

Information Theory · Computer Science 2016-02-09 Stefano Rini , Shlomo Shamai Shitz

Deterministic identification offers an efficient solution for scenarios where decoding entire messages is unnecessary. It is commonly used in alarm systems and control systems. A key advantage of this approach is that the capacity for…

Information Theory · Computer Science 2025-01-23 Holger Boche , Christian Deppe , Safieh Mahmoodi , Golamreza Omidi

This paper studies a scalar Gaussian wiretap channel where instead of an average input power constraint, we consider a peak amplitude constraint on the input. The goal is to obtain insights into the secrecy-capacity and the structure of the…

Information Theory · Computer Science 2021-11-24 Luca Barletta , Alex Dytso

Secrecy issues of free-space optical links realizing information theoretically secure communications as well as high transmission rates are discussed. We numerically study secrecy communication rates of optical wiretap channel based on…

Information Theory · Computer Science 2015-09-15 Hiroyuki Endo , Te Sun Han , Takao Aoki , Masahide Sasaki

We extend the recent analysis of the rate-reliability tradeoff in deterministic identification (DI) to general linear Gaussian channels, marking the first such analysis for channels with continuous output. Because DI provides a framework…

Information Theory · Computer Science 2026-02-13 Pau Colomer , Christian Deppe , Holger Boche , Andreas Winter

This paper investigates the maximal secret communication rate over a wiretap channel subject to reliability and secrecy constraints at a given blocklength. New achievability and converse bounds are derived, which are uniformly tighter than…

Information Theory · Computer Science 2017-06-14 Wei Yang , Rafael F. Schaefer , H. Vincent Poor

In multi user Gaussian relay networks, it is desirable to transmit private information to each user as well as common information to all of them. However, the capacity region of such networks with both kinds of information is not easy to…

Information Theory · Computer Science 2018-01-16 Mohamed S. Ibrahim , Mohammed Nafie , Yahya Mohasseb

The secrecy capacity of a discrete memoryless Gaussian Wire-Tap Channel when the input is from a finite complex constellation is studied. It is shown that the secrecy capacity curves of a finite constellation plotted against the SNR, for a…

Information Theory · Computer Science 2010-10-07 G. D. Raghava , B. Sundar Rajan

We examine the extent to which Gaussian relay networks can be approximated by deterministic networks, and present two results, one negative and one positive. The gap between the capacities of a Gaussian relay network and a corresponding…

Information Theory · Computer Science 2009-08-10 M. Anand , P. R. Kumar

In this paper, a new and general version of Gaussian channel in presence of two-sided state information correlated to the channel input and noise is considered. Determining a general achievable rate for the channel and obtaining the…

Information Theory · Computer Science 2015-07-20 Nima S. Anzabi-Nezhad , Ghosheh Abed Hodtani , Mohammad Molavi Kakhki

We find the secrecy capacity of the 2-2-1 Gaussian MIMO wire-tap channel, which consists of a transmitter and a receiver with two antennas each, and an eavesdropper with a single antenna. We determine the secrecy capacity of this channel by…

Information Theory · Computer Science 2016-11-17 Shabnam Shafiee , Nan Liu , Sennur Ulukus