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New capacity upper bounds are presented for the discrete-time Poisson channel with no dark current and an average-power constraint. These bounds are a simple consequence of techniques developed for the seemingly unrelated problem of upper…

信息论 · 计算机科学 2018-07-23 Mahdi Cheraghchi , João Ribeiro

This work considers a discrete-time Poisson noise channel with an input amplitude constraint $\mathsf{A}$ and a dark current parameter $\lambda$. It is known that the capacity-achieving distribution for this channel is discrete with…

信息论 · 计算机科学 2024-01-11 Luca Barletta , Alex Dytso , Shlomo Shamai

We propose an iterative method for approximately computing the capacity of discrete memoryless channels, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and…

信息论 · 计算机科学 2015-04-06 Tobias Sutter , David Sutter , Peyman Mohajerin Esfahani , John Lygeros

The asymptotic capacity at low input powers of an average-power limited or an average- and peak-power limited discrete-time Poisson channel is considered. For a Poisson channel whose dark current is zero or decays to zero linearly with its…

信息论 · 计算机科学 2008-10-21 Amos Lapidoth , Jeffrey H. Shapiro , Vinodh Venkatesan , Ligong Wang

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…

信息论 · 计算机科学 2021-11-23 Luca Barletta , Alex Dytso

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…

信息论 · 计算机科学 2021-07-30 Alex Dytso , Luca Barletta , Shlomo Shamai

This paper investigates the design of the capacity-achieving input distribution for the discrete-time Poisson channel (DTPC) under dark current effects with low-precision analog-to-digital converters (ADCs). This study introduces an…

信号处理 · 电气工程与系统科学 2025-09-23 Qianqian Li , Lintao Li , Lixiang Liu , Lei Yang , Caihong Gong , Hua Li , Shiya Hao , Xiaoming Dai

We study the discrete-time Poisson channel under the constraint that its average input power (in photons per channel use) must not exceed some constant E. We consider the wideband, high-photon-efficiency extreme where E approaches zero, and…

信息论 · 计算机科学 2014-04-25 Ligong Wang , Gregory W. Wornell

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…

信息论 · 计算机科学 2024-10-04 Mohammad Kazemi , Tolga M. Duman

We develop a systematic approach, based on convex programming and real analysis, for obtaining upper bounds on the capacity of the binary deletion channel and, more generally, channels with i.i.d. insertions and deletions. Other than the…

信息论 · 计算机科学 2018-06-12 Mahdi Cheraghchi

Deterministic identification (DI) for the discrete-time Poisson channel, subject to an average and a peak power constraint, is considered. It is established that the code size scales as $2^{(n\log n)R}$, where $n$ and $R$ are the block…

信息论 · 计算机科学 2021-09-29 Mohammad J. Salariseddigh , Uzi Pereg , Holger Boche , Christian Deppe , Robert Schober

The first terms of the low-signal-energy asymptotics for the mutual information in the discrete-time Poisson channel are derived and compared to an asymptotic expression of the capacity. In the presence of non-zero additive noise (either…

信息论 · 计算机科学 2008-08-21 Alfonso Martinez

The goal of this paper is to obtain a better knowledge of the achievable data rate over noncoherent Rician fading channel with time and frequency memory. We assume that the average-power as well as the peak-power of the input signal are…

信息论 · 计算机科学 2012-07-13 Jean-Michel Passerieux , Francois-Xavier Socheleau , Christophe Laot

A simple lower bound to the capacity of the discrete-time Poisson channel with average energy $\es$ is derived. The rate ${1/2}\log(1+\es)$ is shown to be the generalized mutual information of a modified minimum-distance decoder, when the…

信息论 · 计算机科学 2008-09-22 Alfonso Martinez

The capacity-achieving input distribution of the discrete-time, additive white Gaussian noise (AWGN) channel with an amplitude constraint is discrete and seems difficult to characterize explicitly. A dual capacity expression is used to…

信息论 · 计算机科学 2015-11-30 Andrew Thangaraj , Gerhard Kramer , Georg Bocherer

The paper derives the optimal second-order coding rate for the continuous-time Poisson channel. We also obtain bounds on the third-order coding rate. This is the first instance of a second-order result for a continuous-time channel. The…

信息论 · 计算机科学 2020-08-18 Yuta Sakai , Vincent Y. F. Tan , Mladen Kovačević

This paper shows that the logarithm of the epsilon-error capacity (average error probability) for n uses of a discrete memoryless channel is upper bounded by the normal approximation plus a third-order term that does not exceed 1/2 log n +…

信息论 · 计算机科学 2013-10-25 Marco Tomamichel , Vincent Y. F. Tan

The capacity of a deterministic multiple-input multiple-output (MIMO) channel under the peak and average power constraints is investigated. For the identity channel matrix, the approach of Shamai et al. is generalized to the higher…

信息论 · 计算机科学 2016-09-29 Borzoo Rassouli , Bruno Clerckx

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…

信息论 · 计算机科学 2015-08-28 Hyeji Kim , Benjamin Nachman , Abbas El Gamal

There have been several upper bounds on the quantum capacity of the single-mode Gaussian channels with thermal noise, such as thermal attenuator and amplifier. We consider a class of attenuator and amplifier with more general noises,…

量子物理 · 物理学 2019-05-21 Youngrong Lim , Soojoon Lee , Jaewan Kim , Kabgyun Jeong
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