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A framework for linear-programming (LP) decoding of nonbinary linear codes over rings is developed. This framework facilitates linear-programming based reception for coded modulation systems which use direct modulation mapping of coded…

Information Theory · Computer Science 2016-11-15 Mark F. Flanagan , Vitaly Skachek , Eimear Byrne , Marcus Greferath

A coding scheme is proposed for the memoryless Gaussian broadcast channel with correlated noises and feedback. For all noise correlations other than -1, the gap between the sum-rate the scheme achieves and the full-cooperation bound…

Information Theory · Computer Science 2015-03-13 Michael Gastpar , Amos Lapidoth , Yossef Steinberg , Michele Wigger

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…

Information Theory · Computer Science 2015-04-15 Jonathan Scarlett , Vincent Y. F. Tan

This paper considers error probabilities of random codes for memoryless channels in the fixed-rate regime. Random coding is a fundamental scheme to achieve the channel capacity and many studies have been conducted for the asymptotics of the…

Information Theory · Computer Science 2017-07-17 Junya Honda

We propose index codes, based on multidimensional QAM constellations, for the Gaussian broadcast channel, where every receiver demands all the messages from the source. The efficiency with which an index code exploits receiver side…

Information Theory · Computer Science 2016-11-18 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

Constellation shaping is a well-established method to improve upon a regular quadrature amplitude modulation (QAM). It is known that the gain achieved by any shaping method for an additive white Gaussian noise (AWGN) channel is…

Information Theory · Computer Science 2025-04-28 Kirill Ivanov , Wei Yang , Jing Jiang

We investigate the maximum coding rate achievable on a two-user broadcast channel for the case where a common message is transmitted with feedback using either fixed-blocklength codes or variable-length codes. For the fixed-blocklength-code…

Information Theory · Computer Science 2018-09-03 Kasper Fløe Trillingsgaard , Wei Yang , Giuseppe Durisi , Petar Popovski

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also feedback channel with independent additive Gaussian noise, and the transmitter observes without delay all outputs of the…

Information Theory · Computer Science 2012-08-15 M. V. Burnashev , H. Yamamoto

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-17 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We consider hard-decision iterative decoders for product codes over the erasure channel, which employ repeated rounds of decoding rows and columns alternatingly. We derive the exact asymptotic probability of decoding failure as a function…

Information Theory · Computer Science 2007-07-16 Moshe Schwartz , Paul H. Siegel , Alexander Vardy

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We consider a peak-power-limited single-antenna block-stationary Gaussian fading channel where neither the transmitter nor the receiver knows the channel state information, but both know the channel statistics. This model subsumes most…

Information Theory · Computer Science 2016-11-17 Jun Chen , Venugopal V. Veeravalli

In this paper we consider regular low-density parity-check codes over a binary-symmetric channel in the decoding regime. We prove that up to a certain noise threshold the bit-error probability of the bit-sampling decoder converges in mean…

Information Theory · Computer Science 2015-09-21 Marc Vuffray , Theodor Misiakiewicz

The subject of this paper is transmission over a general class of binary-input memoryless symmetric channels using error correcting codes based on sparse graphs, namely low-density generator-matrix and low-density parity-check codes. The…

Information Theory · Computer Science 2009-03-12 Shrinivas Kudekar , Nicolas Macris

Analog (uncoded) transmission provides a simple and robust scheme for communicating a Gaussian source over a Gaussian channel under the mean squared error (MSE) distortion measure. Unfortunately, its performance is usually inferior to the…

Information Theory · Computer Science 2010-06-03 Yuval Kochman , Ram Zamir

We study the two-user broadcast channel with degraded message sets and derive second-order achievability rate regions. Specifically, the channel noises are not necessarily Gaussian and we use spherical codebooks for both users. The weak…

Information Theory · Computer Science 2024-10-24 Zhuangfei Wu , Lin Bai , Jinpeng Xu , Lin Zhou , Mehul Motani

We address the problem of bounding below the probability of error under maximum likelihood decoding of a binary code with a known distance distribution used on a binary symmetric channel. An improved upper bound is given for the maximum…

Information Theory · Computer Science 2007-07-16 Alexander Barg , Andrew McGregor

Transmission of a Gaussian source over a time-varying Gaussian channel is studied in the presence of time-varying correlated side information at the receiver. A block fading model is considered for both the channel and the side information,…

Information Theory · Computer Science 2015-05-27 Iñaki Estella Aguerri , Deniz Gündüz

We consider the transmission of a memoryless bivariate Gaussian source over an average-power-constrained one-to-two Gaussian broadcast channel. The transmitter observes the source and describes it to the two receivers by means of an…

Information Theory · Computer Science 2009-03-20 Shraga Bross , Amos Lapidoth , Stephan Tinguely

We propose two types of universal codes that are suited to two asymptotic regimes when the output alphabet is possibly continuous. The first class has the property that the error probability decays exponentially fast and we identify an…

Information Theory · Computer Science 2024-09-10 Masahito Hayashi