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Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

We optimize modulation formats for the additive white Gaussian noise channel with a nonnegative input constraint, also known as the intensity-modulated direct detection channel, with and without confining them to a lattice structure. Our…

Information Theory · Computer Science 2015-03-19 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson

In this paper, we propose a novel joint coding-modulation technique based on serial concatenation of orthogonal linear transform, such as discrete Fourier transform (DFT) or Walsh-Hadamard transform (WHT), with memoryless nonlinearity. We…

Information Theory · Computer Science 2018-01-22 Sergey V. Zhidkov

Bit-interleaved coded modulation (BICM) is a practical approach for reliable communication over the AWGN channel in the bandwidth limited regime. For a signal point constellation with 2^m points, BICM labels the signal points with bit…

Information Theory · Computer Science 2012-06-04 Georg Böcherer , Fabian Altenbach , Alex Alvarado , Steven Corroy , Rudolf Mathar

This paper presents a remarkable advance for the understanding of MIMO capacity limits with insufficient RF chains. The capacity is characterized by the maximum mutual information given any vector inputs subject to not only an average power…

Signal Processing · Electrical Eng. & Systems 2019-02-08 Shuaishuai Guo , Haixia Zhang , Mohamed-Slim Alouini

With the complication of future communication scenarios, most conventional signal processing technologies of multi-user multiple-input multiple-output (MU-MIMO) become unreliable, which are designed based on ideal assumptions, such as…

Information Theory · Computer Science 2022-06-27 Yuhao Chi , Lei Liu , Guanghui Song , Ying Li , Yong Liang Guan , Chau Yuen

We recently proved threshold saturation for spatially coupled sparse superposition codes on the additive white Gaussian noise channel. Here we generalize our analysis to a much broader setting. We show for any memoryless channel that…

Information Theory · Computer Science 2016-03-16 Jean Barbier , Mohamad Dia , Nicolas Macris

In this work, a coding technique called cost constrained Geometric Huffman coding (ccGhc) is developed. ccGhc minimizes the Kullback-Leibler distance between a dyadic probability mass function (pmf) and a target pmf subject to an affine…

Information Theory · Computer Science 2011-06-29 Georg Böcherer , Fabian Altenbach , Martina Malsbender , Rudolf Mathar

Many data compressors regularly encode probability distributions for entropy coding - requiring minimal description length type of optimizations. Canonical prefix/Huffman coding usually just writes lengths of bit sequences, this way…

Information Theory · Computer Science 2022-07-05 Jarek Duda

Probabilistic constellation shaping (PCS) has been widely applied to amplified coherent optical transmissions owing to its shaping gain over the uniform signaling and fine-grained rate adaptation to the underlying fiber channel condition.…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Di Che , Junho Cho , Xi Chen

We construct a channel coding scheme to achieve the capacity of any discrete memoryless channel based solely on the techniques of polar coding. In particular, we show how source polarization and randomness extraction via polarization can be…

Information Theory · Computer Science 2016-01-22 David Sutter , Joseph M. Renes , Frédéric Dupuis , Renato Renner

In this paper non-group permutation modulated sequences for the Gaussian channel are considered. Without the restriction to group codes rather than subsets of group codes, arbitrary rates are achievable. The code construction utilizes the…

Information Theory · Computer Science 2007-07-13 Oliver Henkel

Huffman coding finds a prefix code that minimizes mean codeword length for a given probability distribution over a finite number of items. Campbell generalized the Huffman problem to a family of problems in which the goal is to minimize not…

Information Theory · Computer Science 2007-07-16 Michael B. Baer

Let $P = \{p(i)\}$ be a measure of strictly positive probabilities on the set of nonnegative integers. Although the countable number of inputs prevents usage of the Huffman algorithm, there are nontrivial $P$ for which known methods find a…

Information Theory · Computer Science 2016-11-17 Michael B. Baer

The majority of modern communication systems adopts quadrature amplitude modulation (QAM) constellations as transmission schemes. Due to their square structure, however, QAM do not provide satisfying protection to phase noise effects as the…

Information Theory · Computer Science 2018-12-07 Paul Ferrand , Marco Maso , Valerio Bioglio

The pragmatic approach to coded continuous-phase modulation (CPM) is proposed as a capacity-achieving low-complexity alternative to the serially-concatenated CPM (SC-CPM) coding scheme. In this paper, we first perform a selection of the…

Information Theory · Computer Science 2016-11-17 Alberto Perotti , Alberto Tarable , Sergio Benedetto , Guido Montorsi

Energy-efficient communication using a class of spatial modulation (SM) that encodes the source information entirely in the antenna indices is considered in this paper. The energy-efficient modulation design is formulated as a convex…

Information Theory · Computer Science 2023-07-19 Ronald Y. Chang , Sian-Jheng Lin , Wei-Ho Chung

Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM…

Information Theory · Computer Science 2017-02-27 Georg Böcherer , Patrick Schulte , Fabian Steiner

Deep learning-based joint source-channel coding (JSCC) has shown excellent performance in image and feature transmission. However, the output values of the JSCC encoder are continuous, which makes the constellation of modulation complex and…

Information Theory · Computer Science 2022-07-13 Mengyang Wang , Jiahui Li , Mengyao Ma , Xiaopeng Fan