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Most communication channels are subjected to noise. One of the goals of Information Theory is to add redundancy in the transmission of information so that the information is transmitted reliably and the amount of information transmitted…

信息论 · 计算机科学 2018-03-21 David Elkouss , David Pérez-García

Shannon defined channel capacity as the highest rate at which there exists a sequence of codes of block length $n$ such that the error probability goes to zero as $n$ goes to infinity. In this definition, it is implicit that the block…

信息论 · 计算机科学 2010-06-03 Rui A. Costa , Michael Langberg , João Barros

The upper bound on the capacity of a 3-node discrete memoryless relay channel is considered, where a source X wants to send information to destination Y with the help of a relay Z. Y and Z are independent given X, and the link from Z to Y…

信息论 · 计算机科学 2012-10-26 Feng Xue

We consider the stationaly memoryless channels with input cost. We prove that for transmission rates above the capacity the correct probability of decoding tends to zero exponentially as the block length $n$ of codes tends to infinity. In…

信息论 · 计算机科学 2025-09-26 Yasutada Oohama

The problem of identification over a discrete memoryless wiretap channel is examined under the criterion of semantic effective secrecy. This secrecy criterion guarantees both the requirement of semantic secrecy and of stealthy…

We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent…

量子物理 · 物理学 2007-05-23 Alexander Barg

We consider the discrete memoryless asymmetric broadcast channels. We prove that the error probability of decoding tends to one exponentially for rates outside the capacity region and derive an explicit lower bound of this exponent…

信息论 · 计算机科学 2020-08-11 Yasutada Oohama

We consider communication over channels whose statistics are not known in full, but can be parameterized as a finite family of memoryless channels. A typical approach to address channel uncertainty is to design codes for the worst channel…

信息论 · 计算机科学 2023-06-14 Michael Langberg , Oron Sabag

In this paper, we study a model of communication under adversarial noise. In this model, the adversary makes online decisions on whether to corrupt a transmitted bit based on only the value of that bit. Like the usual binary symmetric…

信息论 · 计算机科学 2014-01-21 Arya Mazumdar

Tradeoffs between the information rate and fidelity of quantum error-correcting codes are discussed. Quantum channels to be considered are those subject to independent errors and modeled as tensor products of copies of a general completely…

量子物理 · 物理学 2016-11-18 Mitsuru Hamada

We consider channel coding for discrete memoryless channels (DMCs) with a novel cost constraint that constrains both the mean and the variance of the cost of the codewords. We show that the maximum (asymptotically) achievable rate under the…

信息论 · 计算机科学 2025-01-23 Adeel Mahmood , Aaron B. Wagner

This paper provides new insight into the classical problem of determining both the capacity of the discrete-time channel with uniform output quantization and the capacity achieving input distribution. It builds on earlier work by Gallager…

信息论 · 计算机科学 2009-01-19 Yiyue Wu , Linda M. Davis , Robert Calderbank

We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. We first provide a proof of our recent conjecture on the…

信息论 · 计算机科学 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

This work investigates the fundamental limits of communication over a noisy discrete memoryless channel that wears out, in the sense of signal-dependent catastrophic failure. In particular, we consider a channel that starts as a memoryless…

信息论 · 计算机科学 2018-08-07 Ting-Yi Wu , Lav R. Varshney , Vincent Y. F. Tan

We study commitment scheme for classical-quantum channels. To accomplish this we define various notions of commitment capacity for these channels and prove matching upper and lower bound on it in terms of the conditional entropy. Our…

信息论 · 计算机科学 2022-05-06 Masahito Hayashi , Naqueeb Ahmad Warsi

We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot converse on the minimal simulation cost for fixed error tolerance.…

信息论 · 计算机科学 2024-10-10 Michael X. Cao , Navneeth Ramakrishnan , Mario Berta , Marco Tomamichel

We consider the problem of optimal probing of states of a channel by transmitter and receiver for maximizing rate of reliable communication. The channel is discrete memoryless (DMC) with i.i.d. states. The encoder takes probing actions…

信息论 · 计算机科学 2016-11-15 Himanshu Asnani , Haim Permuter , Tsachy Weissman

We investigate properties of a channel coding scheme leading to the minimum-possible frame error ratio when transmitting over a memoryless channel with rate R>C. The results are compared to the well-known properties of a channel coding…

信息论 · 计算机科学 2009-03-21 Johannes B. Huber , Thorsten Hehn

We propose a method to increase the capacity achieved by uniform prior in discrete memoryless channels (DMC) with high input cardinality. It consists in appropriately reducing the input set. Different design criteria of the input subset are…

信息论 · 计算机科学 2010-10-28 Amine Mezghani , Michel T. Ivrlac , Josef A. Nossek

We address the capacity of a discrete-time memoryless Gaussian channel, where the channel state information (CSI) is neither available at the transmitter nor at the receiver. The optimal capacity-achieving input distribution at low…

信息论 · 计算机科学 2008-05-05 Z. Rezki , David Haccoun , François Gagnon