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The frequentist definition of sensitivity of a search for new phenomena proposed in arXiv:0308063 has been utilized in a number of published experimental searches. In most cases, the simple approximate formula for the common problem of…

Data Analysis, Statistics and Probability · Physics 2020-11-25 Giovanni Punzi

In recent years, infinite-dimensional methods have been introduced for the Gaussian channels estimation. The aim of this paper is to study the application of similar methods to Poisson channels. In particular we compute the Bayesian…

Information Theory · Computer Science 2009-02-11 Anthony Reveillac

For a continuous-input-continuous-output arbitrarily distributed quantum channel carrying classical information, the channel capacity can be computed in terms of the distribution of the channel envelope, received signal strength over a…

Information Theory · Computer Science 2022-06-09 Mouli Chakraborty , Harun Siljak , Indrakshi Dey , Nicola Marchetti

The classical Binary Symmetric Channel has a fixed transition probability. We discuss the Binary Symmetric Channel with a variable transition probability that depends on a Poisson distribution. The error rate for this channel is determined…

Information Theory · Computer Science 2023-07-13 A. J. Han Vinck , Fatma Rouissi

Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on one hand to propose a fully stochastic and…

Biomolecules · Quantitative Biology 2016-01-11 Daniela Morale , Mattia Zanella , Vincenzo Capasso , Willi Jaeger

This paper shows that the capacity region of the continuous-time Poisson broadcast channel is achieved via superposition coding for most channel parameter values. Interestingly, the channel in some subset of these parameter values does not…

Information Theory · Computer Science 2015-08-28 Hyeji Kim , Benjamin Nachman , Abbas El Gamal

This work considers a Poisson noise channel with an amplitude constraint. It is well-known that the capacity-achieving input distribution for this channel is discrete with finitely many points. We sharpen this result by introducing upper…

Information Theory · Computer Science 2021-07-30 Alex Dytso , Luca Barletta , Shlomo Shamai

A minimal model for gene expression, consisting of a switchable promoter together with the resulting messenger RNA, is equivalent to a Poisson channel with a binary Markovian input process. Determining its capacity is an optimization…

Molecular Networks · Quantitative Biology 2021-01-06 Mark Sinzger , Maximilian Gehri , Heinz Koeppl

We develop bounds on the capacity of Poisson-repeat channels (PRCs) for which each input bit is independently repeated according to a Poisson distribution. The upper bounds are obtained by considering an auxiliary channel where the output…

Information Theory · Computer Science 2024-10-04 Mohammad Kazemi , Tolga M. Duman

This paper considers a discrete time-Poisson noise channel which is used to model pulse-amplitude modulated optical communication with a direct-detection receiver. The goal of this paper is to obtain insights into the capacity and the…

Information Theory · Computer Science 2021-11-23 Luca Barletta , Alex Dytso

A coding scheme for transmission of a bit maps a given bit to a sequence of channel inputs (called the codeword associated to the transmitted bit). In this paper, we study the problem of designing the best code for a discrete Poisson…

Information Theory · Computer Science 2021-04-16 Niloufar Ahmadypour , Amin Gohari

Communication over a random-parameter quantum channel when the decoder is required to reconstruct the parameter sequence is considered. We study scenarios that include either strictly-causal, causal, or non-causal channel side information…

Information Theory · Computer Science 2021-09-28 Uzi Pereg

This article examines the problem of state estimation over multi-terminal channels in an unreliable regime. More specifically, we consider two canonical settings. In the first setting, measurements of a common stochastic source need to be…

Information Theory · Computer Science 2023-08-31 Touraj Soleymani , Deniz Gündüz

We describe a statistical hypothesis test for the presence of a signal based on the likelihood ratio statistic. We derive the test for a special case of interest. We study extensions of the test to cases where there are multiple channels…

Data Analysis, Statistics and Probability · Physics 2008-07-31 Wolfgang A. Rolke , Angel M. Lopez

We first investigate two-user nonasymmetric sum-rate Poisson capacity with non-perfect photoncounting receiver under certain condition and demonstrate three possible transmission strategy, including only one active user and both active…

Information Theory · Computer Science 2021-06-10 Zhimeng Jiang , Chen Gong , Guanchu Wang , Zhengyuan Xu

The concept of stochastic resonance in nonlinear dynamics is applied to interpret the capacity of noisy quantum channels. The two-Pauli channel is used to illustrate the idea. The fidelity of the channel is also considered. Noise…

Quantum Physics · Physics 2008-12-18 Julian Juhi-Lian Ting

In this work, we investigate the different sensing schemes for the detection of four targets as observed through a vector Poisson and Gaussian channels when the sensing time resource is limited and the source signals can be observed through…

Information Theory · Computer Science 2024-12-06 Muhammad Fahad , Daniel R. Fuhrmann

Compound channel models offer a simple and straightforward way of analyzing the stability of decoder design under model variations. With this work we provide a coding theorem for a large class of practically relevant compound channel…

Information Theory · Computer Science 2021-05-11 Andrea Cacioppo , Janis Nötzel , Matteo Rosati

Networks of channels conveying particles are often subject to blockages due to the limited carrying capacity of the individual channels. If the channels are coupled, blockage of one causes an increase in the flux entering the remaining open…

Statistical Mechanics · Physics 2019-06-28 Chloé Barré , Gregory Page , Julian Talbot , Pascal Viot

We consider transmission of packets over queue-length sensitive unreliable links, where packets are randomly corrupted through a noisy channel whose transition probabilities are modulated by the queue-length. The goal is to characterize the…

Information Theory · Computer Science 2020-09-01 Daewon Seo , Avhishek Chatterjee , Lav R. Varshney
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