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In this paper, the proximal decoding algorithm is considered within the context of additive white Gaussian noise (AWGN) channels. An analysis of the convergence behavior of the algorithm shows that proximal decoding inherently enters an…

信息论 · 计算机科学 2024-09-12 Andreas Tsouchlos , Holger Jäkel , Laurent Schmalen

In this paper, the performance limits and the computational complexity of the lattice sequential decoder are analyzed for the unconstrained additive white Gaussian noise channel. The performance analysis available in the literature for such…

信息论 · 计算机科学 2013-04-11 Walid Abediseid , Mohamed-Slim Alouini

Information transmission over discrete-time channels with memoryless additive noise obeying a Cauchy, rather than Gaussian, distribution, are studied. The channel input satisfies an average power constraint. Upper and lower bounds to such…

信息论 · 计算机科学 2024-11-19 Shuqin Pang , Wenyi Zhang

In this paper, we perform a threshold analysis of braided convolutional codes (BCCs) on the additive white Gaussian noise (AWGN) channel. The decoding thresholds are estimated by Monte-Carlo density evolution (MC-DE) techniques and compared…

信息论 · 计算机科学 2018-03-01 Muhammad Umar Farooq , Saeedeh Moloudi , Michael Lentmaier

Starting from Shannon's celebrated 1948 channel coding theorem, we trace the evolution of channel coding from Hamming codes to capacity-approaching codes. We focus on the contributions that have led to the most significant improvements in…

信息论 · 计算机科学 2007-07-13 Daniel J. Costello , G. David Forney

We develop a new transmission scheme for additive white Gaussian noisy (AWGN) channels based on Fuchsian groups from rational quaternion algebras. The structure of the proposed Fuchsian codes is nonlinear and nonuniform, hence conventional…

信息论 · 计算机科学 2014-10-28 Iván Blanco-Chacón , Dionís Remón , Camilla Hollanti , Montserrat Alsina

In this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction…

信息论 · 计算机科学 2016-11-18 Wael Alghamdi , Walid Abediseid , Mohamed-Slim Alouini

Recent advances in deep learning for wireless communications have renewed interest in channel output feedback codes. In the additive white Gaussian broadcast channel with feedback (AWGN-BC-F), feedback can expand the channel capacity region…

信号处理 · 电气工程与系统科学 2025-12-02 Jacqueline Malayter , Yingyao Zhou , Natasha Devroye , Chih-Chun Wang , Christopher Brinton , David J. Love

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

信息论 · 计算机科学 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

A fundamental problem in coding theory is the design of an efficient coding scheme that achieves the capacity of the additive white Gaussian (AWGN) channel. The main objective of this short note is to point out that by concatenating a…

信息论 · 计算机科学 2016-08-24 Shashank Vatedka , Navin Kashyap

Covert communication over an additive white Gaussian noise (AWGN) channel with finite block length is investigated in this paper. The attention is on the covert criterion, which has not been considered in finite block length circumstance.…

信息论 · 计算机科学 2023-05-29 Xinchun Yu , Shuangqin Wei , Yuan Luo

In this paper, the problem of de-noising of an image contaminated with additive white Gaussian noise (AWGN) is studied. This subject has been continued to be an open problem in signal processing for more than 50 years. In the present paper,…

计算机视觉与模式识别 · 计算机科学 2013-10-29 Mohsen Joneidi , Mostafa Sadeghi

Low density lattice codes (LDLC) are novel lattice codes that can be decoded efficiently and approach the capacity of the additive white Gaussian noise (AWGN) channel. In LDLC a codeword x is generated directly at the n-dimensional…

信息论 · 计算机科学 2007-07-13 Naftali Sommer , Meir Feder , Ofir Shalvi

We consider the Additive White Gaussian Noise channel with Binary Phase Shift Keying modulation. Our aim is to enable an algebraic hard decision Bounded Minimum Distance decoder for a binary block code to exploit soft information obtained…

信息论 · 计算机科学 2009-05-18 Christian Senger , Vladimir Sidorenko , Victor Zyablov

This paper provides a simplified proof for the existence of nested lattice codebooks allowing to achieve the capacity of the additive white Gaussian noise channel, as well as the optimal rate-distortion trade-off for a Gaussian source. The…

信息论 · 计算机科学 2015-08-10 Or Ordentlich , Uri Erez

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

信息论 · 计算机科学 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. This list decoder is analogous to that used in random coding…

信息论 · 计算机科学 2010-10-04 Yiwei Song , Natasha Devroye

It has previously been shown that ensembles of terminated protograph-based low-density parity-check (LDPC) convolutional codes have a typical minimum distance that grows linearly with block length and that they are capable of achieving…

信息论 · 计算机科学 2015-03-19 David. G. M. Mitchell , Michael Lentmaier , Daniel J. Costello,

This paper shows that, under the average error probability formalism, the third-order term in the normal approximation for the additive white Gaussian noise channel with a maximal or equal power constraint is at least $\frac{1}{2} \log n +…

信息论 · 计算机科学 2015-04-21 Vincent Y. F. Tan , Marco Tomamichel

We study the diversity order vs rate of an additive white Gaussian noise (AWGN) channel in the whole capacity region. We show that for discrete input as well as for continuous input, Gallager's upper bounds on error probability have…

信息论 · 计算机科学 2011-10-11 Anusha Gorantla , Vinod Sharma
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