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Near Shannon limit error-correcting coding and decoding

by Claude Berrou, Alain Glavieux, Punya Thitimajshima , 1993
"... Abstract- This paper deals with a new class of convolutional codes called Turbo-codes, whose performances in terms of Bit Error Rate (BER) are close to the SHANNON limit. The Turbo-Code encoder is built using a parallel concatenation of two Recursive Systematic Convolutional codes and the associated ..."
Abstract - Cited by 1776 (6 self) - Add to MetaCart
Abstract- This paper deals with a new class of convolutional codes called Turbo-codes, whose performances in terms of Bit Error Rate (BER) are close to the SHANNON limit. The Turbo-Code encoder is built using a parallel concatenation of two Recursive Systematic Convolutional codes

Physics of the Shannon Limits

by Neri Merhav , 903
"... Abstract — We provide a simple physical interpretation, in the context of the second law of thermodynamics, to the information inequality (a.k.a. the Gibbs ’ inequality, which is also equivalent to the log–sum inequality), asserting that the relative entropy between two probability distributions can ..."
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cannot be negative. Since this inequality stands at the basis of the data processing theorem (DPT), and the DPT in turn is at the heart of most, if not all, proofs of converse theorems in Shannon theory, it is observed that conceptually, the roots of fundamental limits of Information Theory can actually

Physics of the Shannon Limits

by Irwin, Joan Jacobs, Neri Merhav, Neri Merhav , 2009
"... Abstract—We provide a simple physical interpretation, in the context of the second law of thermodynamics, to the information inequality (a.k.a. the Gibbs ’ inequality, which is also equivalent to the log–sum inequality), asserting that the relative entropy between two probability distributions canno ..."
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cannot be negative. Since this inequality stands at the basis of the data processing theorem (DPT), and the DPT in turn is at the heart of most, if not all, proofs of converse theorems in Shannon theory, it is observed that conceptually, the roots of fundamental limits of Information Theory can actually

On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit

by Sae-young Chung, G. David Forney, Jr., Thomas J. Richardson, Rüdiger Urbanke - IEEE COMMUNICATIONS LETTERS , 2001
"... We develop improved algorithms to construct good low-density parity-check codes that approach the Shannon limit very closely. For rate 1/2, the best code found has a threshold within 0.0045 dB of the Shannon limit of the binary-input additive white Gaussian noise channel. Simulation results with a ..."
Abstract - Cited by 306 (6 self) - Add to MetaCart
We develop improved algorithms to construct good low-density parity-check codes that approach the Shannon limit very closely. For rate 1/2, the best code found has a threshold within 0.0045 dB of the Shannon limit of the binary-input additive white Gaussian noise channel. Simulation results with a

Near-Shannon-limit Linear-timeencodable Nonbinary Irregular LDPC Codes

by Jie Huang, Shengli Zhou, Peter Willett - in Proceedings of the 28th IEEE GLOBECOM. Piscataway , 2009
"... Abstract—In this paper, we present a novel method to construct nonbinary irregular LDPC codes whose parity check matrix has only column weights of 2 and t, where t ≥ 3. The constructed codes can be encoded in linear time and in a parallel fashion. Also, they can achieve near-Shannon-limit performanc ..."
Abstract - Cited by 2 (2 self) - Add to MetaCart
Abstract—In this paper, we present a novel method to construct nonbinary irregular LDPC codes whose parity check matrix has only column weights of 2 and t, where t ≥ 3. The constructed codes can be encoded in linear time and in a parallel fashion. Also, they can achieve near-Shannon-limit

Near Shannon Limit Performance of Low DensityParity Check Codes

by unknown authors , 1996
"... Indexing terms: Error-correction codes, probabilistic decoding. Abstract We report the empirical performance of Gallager's low density parity check codes on Gaussian channels. We show that performance substantially better than that of standard convolutional and concatenated codes can be achieve ..."
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be achieved; indeed the performance is almost as close to the Shannon limit as that of Turbo codes.

Nonlinear communication channels with capacity above the linear Shannon limit

by Konstantin S. Turitsyn, Sergei K. Turitsyn , 2012
"... We prove that, under certain conditions, the capacity of an optical communication channel with in-line, nonlinear filtering (regeneration) elements can be higher than the Shannon capacity for the corresponding linear Gaussian white noise channel. © 2012 Optical Society of America OCIS codes: 060.233 ..."
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]. The information capacity of a linear channel with additive white Gaussian noise (AWGN) is often called the Shannon limit, stressing the fact that it is the maximum error-free data rate achievable in such channel [1] and in any channels sub optimal to AWGN. The optical fiber channel character-ized by additive

Implementation of near Shannon Limit error-correcting codes using reconfigurable hardware

by Benjamin Levine, R. Reed Taylor, Herman Schmit - Proc. IEEE Symp. on Field-Prog. Cust. Comput. Mach , 2000
"... Abstract | Error correcting codes (ECCs) are widely used in digital communications. Recently, new types of ECCs have been proposed which permit error-free data transmission over noisy channels at rates which approach the Shannon capacity. For wireless communication, these new codes allow more data t ..."
Abstract - Cited by 9 (0 self) - Add to MetaCart
(LDPCs), another ECC, also provide near Shannon limit error correction ability. However, LDPCs use a decoding scheme which is much more amenable to hardware implementation. This paper will rst present an overview of these coding schemes, then discuss the issues involved in building an LDPC decoder using

Good Error-Correcting Codes based on Very Sparse Matrices

by David J.C. MacKay , 1999
"... We study two families of error-correcting codes defined in terms of very sparse matrices. "MN" (MacKay--Neal) codes are recently invented, and "Gallager codes" were first investigated in 1962, but appear to have been largely forgotten, in spite of their excellent properties. The ..."
Abstract - Cited by 750 (23 self) - Add to MetaCart
. The decoding of both codes can be tackled with a practical sum-product algorithm. We prove that these codes are "very good," in that sequences of codes exist which, when optimally decoded, achieve information rates up to the Shannon limit. This result holds not only for the binary-symmetric channel

Resource consumption in dynamic spectrum access networks: Applications and Shannon limits

by Michael B. Pursley, Thomas C. Royster Iv - in Proc. Workshop on Inform. Theory and its Applications , 2007
"... When a frequency band has been selected for a session in a dynamic spectrum access network, the initial choices for the modulation and coding must be consistent with the bandwidth that is available and the session’s quality-of-service priorities. A measure of resource consumption is developed for us ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
for use in the selection of the code-modulation combination. The resourceconsumption metric accounts for the bandwidth, datatransmission time, and transmitted power for the session. Shannon capacity limits are employed to bound the resource consumption and permit tradeoffs between the time
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