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In this work, a new lower bound for the maximal error probability of a two-user discrete memoryless (DM) multiple-access channel (MAC) is derived. This is the first bound of this type that explicitly imposes independence of the users' input…

信息论 · 计算机科学 2008-03-27 Ali Nazari , Sandeep Pradhan , Achilleas Anastasopoulos

In this work, a new upper bound for average error probability of a two-user discrete memoryless (DM) multiple-access channel (MAC) is derived. This bound can be universally obtained for all discrete memoryless MACs with given input and…

信息论 · 计算机科学 2009-01-09 Ali Nazari , Achilleas Anastasopoulos , S. Sandeep Pradhan

A unified framework to obtain all known lower bounds (random coding, typical random coding and expurgated bound) on the reliability function of a point-to-point discrete memoryless channel (DMC) is presented. By using a similar idea for a…

信息论 · 计算机科学 2010-10-08 Ali Nazari , Achilleas Anastasopoulos , S. Sandeep Pradhan

We derive a sphere-packing error exponent for coded transmission over discrete memoryless channels with a fixed decoding metric. By studying the error probability of the code over an auxiliary channel, we find a lower bound to the…

信息论 · 计算机科学 2022-12-29 Ehsan Asadi Kangarshahi , Albert Guillén i Fàbregas

The reliability function of a channel is the maximum achievable exponential rate of decay of the error probability as a function of the transmission rate. In this work, we derive bounds on the reliability function of discrete memoryless…

信息论 · 计算机科学 2023-06-13 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

We consider a generalization of the discrete memoryless channel, in which the channel probability distribution is replaced by a uniform distribution over clouds of channel output sequences. For a random ensemble of such channels, we derive…

信息论 · 计算机科学 2022-09-22 Sergey Tridenski , Anelia Somekh-Baruch

In this paper, we investigate the signal shaping in a two-user discrete time memoryless Gaussian multiple-access channel (MAC) with computation. It is shown that by optimizing input probability distribution, the transmission rate per…

信息论 · 计算机科学 2017-01-26 Zhiyong Chen , Hui Liu

We derive a lower and upper bound on the reliability function of discrete memoryless multiple-access channel (MAC) with noiseless feedback and variable-length codes (VLCs). For the upper-bound, we use proof techniques of Burnashev for the…

信息论 · 计算机科学 2018-07-02 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

This paper studies the second-order asymptotics of the discrete memoryless multiple-access channel with degraded message sets. For a fixed average error probability $\epsilon\in(0,1)$ and an arbitrary point on the boundary of the capacity…

信息论 · 计算机科学 2015-04-15 Jonathan Scarlett , Vincent Y. F. Tan

In the study of the capacity problem for multiple access channels (MACs), a lower bound on the error probability obtained by Han plays a crucial role in the converse parts of several kinds of channel coding theorems in the…

信息论 · 计算机科学 2016-01-20 Takuya Kubo , Hiroshi Nagaoka

In this paper, we propose a new upper bound on the error probability performance of maximum-likelihood (ML) detection. The proposed approach provides a much tighter upper bound when compared to the traditionally used union bound, especially…

信息论 · 计算机科学 2022-08-01 Tian Han , Rajitha Senanayake , Peter Smith , Jamie Evans

Random coding, expurgated and sphere packing bounds are derived by method of types and method of graph decomposition for $E$-capacity of discrete memoryless channel (DMC). Three decoding rules are considered, the random coding bound is…

信息论 · 计算机科学 2007-07-13 Evgueni A. Haroutunian

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

We derive a new upper bound on the reliability function for channel coding over discrete memoryless channels. Our bounding technique relies on two main elements: (i) adding an auxiliary genie-receiver that reveals to the original receiver a…

信息论 · 计算机科学 2022-09-05 Anelia Somekh-Baruch

In this work we show how an improved lower bound to the error exponent of the memoryless multiple-access (MAC) channel is attained via the use of linear codes, thus demonstrating that structure can be beneficial even in cases where there is…

信息论 · 计算机科学 2016-11-18 Eli Haim , Yuval Kochman , Uri Erez

This paper provides a numerical framework for computing the achievable rate region of memoryless multiple access channel (MAC) with a continuous alphabet from data. In particular, we use recent results on variational lower bounds on mutual…

信息论 · 计算机科学 2021-11-30 Farhad Mirkarimi , Nariman Farsad

Error probabilities of random codes for memoryless channels are considered in this paper. In the area of communication systems, admissible error probability is very small and it is sometimes more important to discuss the relative gap…

信息论 · 计算机科学 2015-06-11 Junya Honda

This paper studies a two-user state-dependent Gaussian multiple-access channel (MAC) with state noncausally known at one encoder. Two scenarios are considered: i) each user wishes to communicate an independent message to the common…

信息论 · 计算机科学 2017-05-05 Wei Yang , Yingbin Liang , Shlomo Shamai , H. Vincent Poor

We consider the problem of modulation and estimation of a random parameter $U$ to be conveyed across a discrete memoryless channel. Upper and lower bounds are derived for the best achievable exponential decay rate of a general moment of the…

信息论 · 计算机科学 2016-11-17 Neri Merhav

The performance of integer-forcing equalization for communication over the compound multiple-input multipleoutput channel is investigated. An upper bound on the resulting outage probability as a function of the gap to capacity has been…

信息论 · 计算机科学 2017-12-05 Elad Domanovitz , Uri Erez
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