Journal ArticleDOI
A new multilevel coding method using error-correcting codes
Hideki Imai,S. Hirakawa +1 more
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TLDR
A new multilevel coding method that uses several error-correcting codes that makes effective use of soft-decisions to improve the performance of decoding and is superior to other multileVEL coding systems.Abstract:
A new multilevel coding method that uses several error-correcting codes is proposed. The transmission symbols are constructed by combining symbols of codewords of these codes. Usually, these codes are binary error-correcting codes and have different error-correcting capabilities. For various channels, efficient systems can be obtained by choosing these codes appropriately. Encoding and decoding procedures for this method are relatively simple compared with those of other multilevel coding methods. In addition, this method makes effective use of soft-decisions to improve the performance of decoding. The decoding error probability is analyzed for multiphase modulation, and numerical comparisons to other multilevel coding systems are made. When equally complex systems are compared, the new system is superior to other multilevel coding systems.read more
Citations
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Journal ArticleDOI
Multidimensional OAM-Based Secure High-Speed Wireless Communications
TL;DR: This work proposes an orbital angular momentum (OAM)-based, secure, energy-efficient multidimensional coded modulation, and proposes employing the Slepian sequences as either basis functions in baseband or impulse responses of antenna arrays in passband to further increase the dimensionality of the wireless system and enable beyond 1-Tb/s wireless transmission.
Proceedings ArticleDOI
Multishot Codes for Network Coding: Bounds and a Multilevel Construction
TL;DR: This paper explores the idea of using the subspace channel more than once and investigates the so called multishot subspace codes, and presents definitions for the problem, a motivating example, lower and upper bounds for the size of Codes, and a multilevel construction of codes based on block-coded modulation.
Patent
Adaptive coding and modulation for synchronous connections
Jonathan Friedmann,Ran Soffer +1 more
TL;DR: In this paper, a method for communication includes accepting input data from two or more data sources, one or more of which include continuous synchronous tributaries, for transmission over a wireless communication link having a variable data rate.
Journal ArticleDOI
On the Origin of Polar Coding
TL;DR: Polar coding was originally designed to be a low-complexity recursive channel combining and splitting operation of this type, to be used as the inner code in a concatenated scheme with outer convolutional coding and sequential decoding as discussed by the authors.
Journal ArticleDOI
Multidimensional Modulation and Coding in Optical Transport
Magnus Karlsson,Erik Agrell +1 more
TL;DR: This paper reviews the performance of optimized modulation formats in two, four, and eight dimensions by exploiting known performance of binary block codes and exemplifies how these metrics can be used for system performance as well as to quantify the performance differences between four types of systems.
References
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Journal ArticleDOI
Convolutional Codes and Their Performance in Communication Systems
TL;DR: This tutorial paper begins with an elementary presentation of the fundamental properties and structure of convolutional codes and proceeds with the development of the maximum likelihood decoder, which yields for arbitrary codes both the distance properties and upper bounds on the bit error probability.
Journal ArticleDOI
Short convolutional codes with maximal free distance for rates 1/2, 1/3, and 1/4 (Corresp.)
TL;DR: In this paper, the authors gave a tabulation of binary convolutional codes with maximum free distance for rates of 1/2, 1/3, and 1/4 for all constraint lengths up to and including nu = 14.
Journal ArticleDOI
Short binary convolutional codes with maximal free distance for rates 2/3 and 3/4 (Corresp.)
TL;DR: In this paper, a search procedure was developed to find good short binary (N,N - 1) convolutional codes using simple rules to discard from the complete ensemble of codes a large fraction whose free distance d{free} either cannot achieve the maximum value or is equal to d_{free} of some code in the remaining set.
Journal ArticleDOI
Correction of errors in multilevel Gray coded data
TL;DR: Certain classes of low-rate binary codes that have simple decoding algorithms can be used as underlying codes in the construction of high-rate easily decodable i -compressed codes, which have higher rates than binary codes of comparable length and number of correctable errors.