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Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is…

信息论 · 计算机科学 2016-06-16 Rajai Nasser , Emre Telatar

We show that the mismatched capacity of binary discrete memoryless channels can be improved by channel combining and splitting via Ar{\i}kan's polar transformations. We also show that the improvement is possible even if the transformed…

信息论 · 计算机科学 2014-01-24 Mine Alsan , Emre Telatar

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

信息论 · 计算机科学 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka

This paper investigates the design of precoders for single-user multiple-input multiple-output (MIMO) channels, and in particular for finite-alphabet signals. Based on an asymptotic expression for the mutual information of channels…

信息论 · 计算机科学 2017-04-18 Yongpeng Wu , Chao-Kai Wen , Derrick Wing Kwan Ng , Robert Schober , Angel Lozano

This work presents a polar coding scheme for fading channels, focusing primarily on fading binary symmetric and additive exponential noise channels. For fading binary symmetric channels, a hierarchical coding scheme is presented, utilizing…

信息论 · 计算机科学 2014-08-19 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Motivated by recent high bandwidth communication systems, Inter-Symbol Interference (ISI) channels with 1-bit quantized output are considered under an average-power-constrained continuous input. While the exact capacity is difficult to…

信息论 · 计算机科学 2015-05-05 Radha Krishna Ganti , Andrew Thangaraj , Arijit Mondal

In this paper, we investigate the design of linear precoders for the multiple-input multiple-output (MIMO) multiple access channel (MAC). We assume that statistical channel state information (CSI) is available at the transmitters and…

信息论 · 计算机科学 2016-11-15 Yongpeng Wu , Chao-Kai Wen , Chengshan Xiao , Xiqi Gao , Robert Schober

We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite dimensional output, possibly under additional constraints on the input distribution. Based on duality of…

量子物理 · 物理学 2016-01-22 David Sutter , Tobias Sutter , Peyman Mohajerin Esfahani , Renato Renner

Capacity analysis for channels with side information at the receiver has been an active area of interest. This problem is well investigated for the case of finite alphabet channels. However, the results are not easily generalizable to the…

信息论 · 计算机科学 2016-11-18 Majid Fozunbal , Steven W. McLaughlin , Ronald W. Schafer

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

信息论 · 计算机科学 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

The Poltyrev bound provides a very tight upper bound on the decoding error probability when using binary linear codes for transmission over the binary symmetric channel and the additive white Gaussian noise channel, making use of the code's…

信息论 · 计算机科学 2025-01-23 Tal Philosof , Ariel Doubchak , Amit Berman , Uri Erez

Arikan's polar coding method is extended to two-user multiple-access channels. It is shown that if the two users of the channel use the Arikan construction, the resulting channels will polarize to one of five possible extremals, on each of…

信息论 · 计算机科学 2016-11-15 Eren Sasoglu , Emre Telatar , Edmund Yeh

In this paper we consider a multiple access channel (MAC) with partial cribbing encoders. This means that each of two encoders obtains a deterministic function of the other encoder output with or without delay. The partial cribbing scheme…

信息论 · 计算机科学 2011-03-22 Haim Permuter , Himanshu Asnani

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…

信息论 · 计算机科学 2022-05-04 Kuan Hsieh , Cynthia Rush , Ramji Venkataramanan

In this paper, we investigate the design of linear precoders for multiple-input multiple-output (MIMO) multiple access channels (MAC). We assume that statistical channel state information (CSI) is available at the transmitters and consider…

信息论 · 计算机科学 2014-01-22 Yongpeng Wu , Chao-Kai Wen , Chengshan Xiao , Xiqi Gao , Robert Schober

Approximating functions by a linear span of truncated basis sets is a standard procedure for the numerical solution of differential and integral equations. Commonly used concepts of approximation methods are well-posed and convergent, by…

数值分析 · 数学 2022-12-14 Yahya Saleh , Armin Iske , Andrey Yachmenev , Jochen Küpper

We present a constraint-coding scheme to correct asymmetric magnitude-$1$ errors in multi-level non-volatile memories. For large numbers of such errors, the scheme is shown to deliver better correction capability compared to known…

信息论 · 计算机科学 2017-09-12 Evyatar Hemo , Yuval Cassuto

Achieving information-theoretic security using explicit coding scheme in which unlimited computational power for eavesdropper is assumed, is one of the main topics is security consideration. It is shown that polar codes are capacity…

Ar{\i}kan's polar coding, is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used…

信息论 · 计算机科学 2018-05-08 Mine Alsan

We consider wiretap channels with uncertainty on the eavesdropper channel under (i) noisy blockwise type II, (ii) compound, or (iii) arbitrarily varying models. We present explicit wiretap codes that can handle these models in a unified…

信息论 · 计算机科学 2022-11-03 Remi A. Chou