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Deterministic identification (DI) is addressed for Gaussian channels with fast and slow fading, where channel side information is available at the decoder. In particular, it is established that the number of messages scales as…

Information Theory · Computer Science 2021-10-12 Mohammad J. Salariseddigh , Uzi Pereg , Holger Boche , Christian Deppe

In non-coherent wideband fading channels where energy rather than spectrum is the limiting resource, peaky and non-peaky signaling schemes have long been considered species apart, as the first approaches asymptotically the capacity of a…

Information Theory · Computer Science 2017-04-04 Felipe Gomez-Cuba , Jinfeng Du , Muriel Médard , Elza Erkip

We address propagation and entanglement of Gaussian states in optical media characterised by non-trivial spectral densities. In particular, we consider environments with a finite bandwidth and show that in the low temperature regime: i)…

Quantum Physics · Physics 2025-02-18 Berihu Teklu , Matteo Bina , Matteo G. A. Paris

Several approximate inference algorithms have been proposed to minimize an alpha-divergence between an approximating distribution and a target distribution. Many of these algorithms introduce bias, the magnitude of which becomes problematic…

Machine Learning · Statistics 2021-10-27 Tomas Geffner , Justin Domke

The performance of Bayesian detection of Gaussian signals using noisy observations is investigated via the error exponent for the average error probability. Under unknown signal correlation structure or limited processing capability it is…

Information Theory · Computer Science 2009-11-11 Youngchul Sung , Lang Tong , H. Vincent Poor

The capacity of multiple-input multiple-output additive white Gaussian noise channels is investigated under peak amplitude constraints on the norm of the input vector. New insights on the capacity-achieving input distribution are presented.…

Information Theory · Computer Science 2021-05-06 Antonino Favano , Marco Ferrari , Maurizio Magarini , Luca Barletta

The consequences of the gauge-coupling dependent normalization-factor of $1/g^{\alpha}$ in the transfer-matrix of 2d U(1) lattice gauge theory are explored. It is seen by the $\alpha=1$ choice that the lowest energy develops a minimum at…

High Energy Physics - Lattice · Physics 2020-08-24 Narges Vadood , Amir H. Fatollahi

A distortion-noise profile is a function indicating the maximum allowed source distortion value for each noise level in the channel. In this paper, the minimum energy required to achieve a distortion noise profile is studied for Gaussian…

Information Theory · Computer Science 2019-11-28 Mohammadamin Baniasadi , Ertem Tuncel

In \cite{butman1976} the linear coding scheme is applied, $X_t =g_t\Big(\Theta - {\bf E}\Big\{\Theta\Big|Y^{t-1}, V_0=v_0\Big\}\Big)$, $t=2,\ldots,n$, $X_1=g_1\Theta$, with $\Theta: \Omega \to {\mathbb R}$, a Gaussian random variable, to…

Information Theory · Computer Science 2021-06-17 Charalambos D. Charalambous , Christos Kourtellaris , Themistoklis Charalambous

In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive Gaussian signal-dependent noise (AGSDN) channel models are used in molecular and optical communication.…

Information Theory · Computer Science 2017-06-05 Hamid Ghourchian , Gholamali Aminian , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

We consider general multi-antenna fading channels with coarsely quantized outputs, where the channel is unknown to the transmitter and receiver. This analysis is of interest in the context of sensor network communication where low power and…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Josef A. Nossek

We consider a line with noise in the simplest case. Loss does not add noise. Amplification via phase insensitive amplifiers do add noise. A lower bound of this capacity is the quantum analog to the Shannon capacity of a linear channel with…

Quantum Physics · Physics 2013-03-05 Antonio Mecozzi

We consider a line network of nodes, connected by additive white Gaussian noise channels, equipped with local feedback. We study the velocity at which information spreads over this network. For transmission of a data packet, we give an…

Information Theory · Computer Science 2024-10-28 Elad Domanovitz , Anatoly Khina , Tal Philosof , Yuval Kochman

This paper investigates the limits of information transfer over a fast Rayleigh fading MIMO channel, where neither the transmitter nor the receiver has the knowledge of the channel state information (CSI) except the fading statistics. We…

Information Theory · Computer Science 2007-07-13 Rasika R Perera , Tony S Pollock , Thushara D Abhayapala

Shannon's channel coding theorem describes the maximum possible rate of reliable information transfer through a classical noisy communication channel. It, together with the source coding theorem, characterizes lossless channel communication…

Quantum Physics · Physics 2021-05-17 Sristy Agrawal , Rajashik Tarafder , Graeme Smith , Arup Roy , Manik Banik

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

We consider a problem where a memoryless bi-variate Gaussian source is to be transmitted over an additive white Gaussian multiple-access channel with two transmitting terminals and one receiving terminal. The first transmitter only sees the…

Information Theory · Computer Science 2007-07-16 Amos Lapidoth , Stephan Tinguely

Unreliable fading wireless channels are the main challenge for strict performance guarantees in mobile communications. Diversity schemes including massive number of antennas, huge spectrum bands and multi-connectivity links are applied to…

Information Theory · Computer Science 2020-09-21 Karl-Ludwig Besser , Eduard A. Jorswieck

A coding scheme is proposed for the memoryless Gaussian broadcast channel with correlated noises and feedback. For all noise correlations other than -1, the gap between the sum-rate the scheme achieves and the full-cooperation bound…

Information Theory · Computer Science 2015-03-13 Michael Gastpar , Amos Lapidoth , Yossef Steinberg , Michele Wigger

We revisit Shannon's problem of bounding the capacity of bandlimited Gaussian channel (BLGC) with peak power constraint, and extend the problem to the peak-to-average-power-ratio (PAPR) constrained case. By lower bounding the achievable…

Information Theory · Computer Science 2018-08-31 Yizhu Wang , Jing Zhou , Wenyi Zhang