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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…

Information Theory · Computer Science 2015-06-11 Junya Honda

This work considers space-time block coding for the Rayleigh fading multiple-input multiple-output (MIMO) multiple access channel (MAC). If we suppose that the receiver is performing joint maximum-likelihood (ML) decoding, optimizing a MIMO…

Information Theory · Computer Science 2015-11-16 Toni Ernvall , Jyrki Lahtonen , Hsiao-feng , Lu , Roope Vehkalahti

This paper derives an improved sphere-packing (ISP) bound targeting codes of short to moderate block lengths. We first review the 1967 sphere-packing (SP67) bound for discrete memoryless channels, and a recent improvement by Valembois and…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

Point-to-point permutation channels are useful models of communication networks and biological storage mechanisms and have received theoretical attention in recent years. Propelled by relevant advances in this area, we analyze the…

Information Theory · Computer Science 2024-07-25 William Lu , Anuran Makur

This paper studies channel coding for the discrete memoryless multiple-access channel with a given (possibly suboptimal) decoding rule. A multi-letter successive decoding rule depending on an arbitrary non-negative decoding metric is…

Information Theory · Computer Science 2017-12-08 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

We study lower bounds on the optimal error probability in classical coding over classical-quantum channels at rates below the capacity, commonly termed quantum sphere-packing bounds. Winter and Dalai have derived such bounds for…

Quantum Physics · Physics 2019-05-03 Hao-Chung Cheng , Min-Hsiu Hsieh , Marco Tomamichel

In this paper, the multiple access channel (MAC) with channel state is analyzed in a scenario where a) the channel state is known non-causally to the transmitters and b) there is perfect causal feedback from the receiver to the…

Information Theory · Computer Science 2007-07-13 Wei Wu , Sriram Vishwanath , Ari Arapostathis

Existing fixed-length feedback communication schemes are either specialized to particular channels (Schalkwijk--Kailath, Horstein), or apply to general channels but either have high coding complexity (block feedback schemes) or are…

Information Theory · Computer Science 2016-09-08 Cheuk Ting Li , Abbas El Gamal

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 revisit the problem of high-dimensional multiple packing in Euclidean space. Multiple packing is a natural generalization of sphere packing and is defined as follows. Let $ N>0 $ and $ L\in\mathbb{Z}_{\ge2} $. A multiple packing is a set…

Metric Geometry · Mathematics 2022-11-10 Yihan Zhang , Shashank Vatedka

We study the best known general inner bound[MAR '79] and outer bound[N-EG'07] for the capacity region of the two user discrete memory less channel. We prove that a seemingly stronger outer bound is identical to a weaker form of the outer…

Information Theory · Computer Science 2008-04-25 Chandra Nair , Vincent Wang Zizhou

Consider the problem of a Multiple-Input Multiple-Output (MIMO) Multiple-Access Channel (MAC) at the limit of large number of users. Clearly, in practical scenarios, only a small subset of the users can be scheduled to utilize the channel…

Information Theory · Computer Science 2018-01-16 Joseph Kampeas , Asaf Cohen , Omer Gurewitz

We propose a new inner bound on the capacity region of a memoryless multiple-access channel that is governed by a memoryless state that is known strictly causally to the encoders. The new inner bound contains the previous bounds, and we…

Information Theory · Computer Science 2011-06-03 Amos Lapidoth , Yossef Steinberg

We consider the joint constellation design problem for the two-user non-coherent multiple-access channel (MAC). Based on an analysis on the non-coherent maximum-likelihood (ML) detection error, we propose novel design criteria so as to…

Information Theory · Computer Science 2020-01-17 Khac-Hoang Ngo , Sheng Yang , Maxime Guillaud , Alexis Decurninge

A new converse bound is presented for the two-user multiple-access channel under the average probability of error constraint. This bound shows that for most channels of interest, the second-order coding rate -- that is, the difference…

Information Theory · Computer Science 2021-10-04 Oliver Kosut

In this paper, we study the multiple-antenna wireless communication networks, where a large number of devices simultaneously communicate with an access point. The capacity region of multiple-input multiple-output massive multiple access…

Information Theory · Computer Science 2019-02-13 Fan Wei , Yongpeng Wu , Wen Chen , Wei Yang , Giuseppe Caire

We consider the discrete memoryless degraded 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 function.…

Information Theory · Computer Science 2015-04-23 Yasutada Oohama

This paper considers the Gaussian multiple-access channel (MAC) in the asymptotic regime where the number of users grows linearly with the code length. We propose efficient coding schemes based on random linear models with approximate…

Information Theory · Computer Science 2022-05-04 Kuan Hsieh , Cynthia Rush , Ramji Venkataramanan

This paper focuses on the problem of separately modulating and jointly estimating two independent continuous-valued parameters sent over a Gaussian multiple-access channel (MAC) under the mean square error (MSE) criterion. To this end, we…

Information Theory · Computer Science 2016-09-28 Ayse Unsal , Raymond Knopp , Neri Merhav

The multiple access channel (MAC) capacity with feedback is considered under feedback models designed to tease out which factors contribute to the MAC feedback capacity benefit. Comparing the capacity of a MAC with ``perfect'' feedback,…

Information Theory · Computer Science 2023-05-11 Oliver Kosut , Michelle Effros , Michael Langberg