English
Related papers

Related papers: Transmission of a Bit over a Discrete Poisson Chan…

200 papers

One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations. Existing proposals for quantum memories…

Quantum Physics · Physics 2007-05-23 Emanuel Knill , Raymond Laflamme

For most discrete memoryless channels, there does not exist a linear code for the channel which uses all of the channel's input symbols. Therefore, linearity of the code for such channels is a very restrictive condition and there should be…

Information Theory · Computer Science 2011-02-17 Aria Ghasemian Sahebi , S. Sandeep Pradhan

In this paper, we derive analytic expressions for the success probability of decoding (Partial) Unit Memory codes in memoryless channels. An applications of this result is that these codes outperform individual block codes in certain…

Information Theory · Computer Science 2017-05-25 Sven Puchinger , Sven Müelich , Martin Bossert

We study the problem of strong coordination of the actions of two nodes $X$ and $Y$ that communicate over a discrete memoryless channel (DMC) such that the actions follow a prescribed joint probability distribution. We propose two novel…

Information Theory · Computer Science 2021-06-29 Sarah A. Obead , Badri N. Vellambi , Jörg Kliewer

We study two-receiver Poisson channels using tools derived from stochastic calculus. We obtain a general formula for the mutual information over the Poisson channel that allows for conditioning and the use of auxiliary random variables. We…

Information Theory · Computer Science 2019-11-12 Nirmal V. Shende , Aaron B. Wagner

We derive a single-letter upper bound to the mismatched-decoding capacity for discrete memoryless channels. The bound is expressed as the mutual information of a transformation of the channel, such that a maximum-likelihood decoding error…

Information Theory · Computer Science 2021-02-16 Ehsan Asadi Kangarshahi , Albert Guillén i Fàbregas

This paper considers transmitting a sequence of messages (a streaming source) over a packet erasure channel. In each time slot, the source constructs a packet based on the current and the previous messages and transmits the packet, which…

Information Theory · Computer Science 2018-12-07 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

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…

Information Theory · Computer Science 2020-08-18 Yuta Sakai , Vincent Y. F. Tan , Mladen Kovačević

This work gives an explicit construction of a family of error correcting codes for the binary deletion channel and for the Poisson repeat channel. In the binary deletion channel with parameter $p$ (BDC$_p$) every bit is deleted…

Information Theory · Computer Science 2019-10-16 Roni Con , Amir Shpilka

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…

Information Theory · Computer Science 2018-07-23 Mahdi Cheraghchi , João Ribeiro

In diffusion-based molecular communications, messages can be conveyed via the variation in the concentration of molecules in the medium. In this paper, we intend to analyze the achievable capacity in transmission of information from one…

Information Theory · Computer Science 2011-05-11 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

This paper examines the maximum code rate achievable by a data-driven communication system over some unknown discrete memoryless channel in the finite blocklength regime. A class of channel codes, called learning-based channel codes, is…

Information Theory · Computer Science 2023-07-18 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans

We put forth new models for universal channel coding. Unlike standard codes which are designed for a specific type of channel, our most general universal code makes communication resilient on every channel, provided the noise level is below…

Information Theory · Computer Science 2022-12-12 Bruno Bauwens , Marius Zimand

We consider a basic joint communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends a codeword to the receiver through a discrete memoryless channel, and the receiver is interested in decoding…

Information Theory · Computer Science 2024-12-09 Han Wu , Hamdi Joudeh

Motivated by communication systems with constrained complexity, we consider the problem of input symbol selection for discrete memoryless channels (DMCs). Given a DMC, the goal is to find a subset of its input alphabet, so that the optimal…

Information Theory · Computer Science 2024-07-02 Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh , Deniz Gündüz , Nir Weinberger

We study the problem of computing the capacity of a discrete memoryless channel under uncertainty affecting the channel law matrix, and possibly with a constraint on the average cost of the input distribution. The problem has been…

Information Theory · Computer Science 2018-05-28 Krzysztof Postek , Aharon Ben-Tal

Optimal transport has numerous applications, particularly in machine learning tasks involving generative models. In practice, the transportation process often encounters an information bottleneck, typically arising from the conversion of a…

Information Theory · Computer Science 2024-12-30 Xiqiang Qu , Ruibin Li , Jun Chen , Lei Yu , Xinbing Wang

We consider the problem of joint source and channel coding of structured data such as natural language over a noisy channel. The typical approach to this problem in both theory and practice involves performing source coding to first…

Information Theory · Computer Science 2018-02-21 Nariman Farsad , Milind Rao , Andrea Goldsmith

A pure-loss bosonic channel is a simple model for communication over free-space or fiber-optic links. More generally, phase-insensitive bosonic channels model other kinds of noise, such as thermalizing or amplifying processes. Recent work…

Quantum Physics · Physics 2016-03-22 Mark M. Wilde , Joseph M. Renes , Saikat Guha