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In this paper, we consider the asymptotic and finite-length performance of block Markov superposition transmission~(BMST) of short codes, which can be viewed as a new class of spatially coupled~(SC) codes with the generator matrices of…

Information Theory · Computer Science 2015-04-14 Kechao Huang , Xiao Ma

In this paper, we present the block Markov superposition transmission of BCH (BMST-BCH) codes, which can be constructed to obtain a very low error floor. To reduce the implementation complexity, we design a low complexity iterative…

Information Theory · Computer Science 2017-08-22 Suihua Cai , Nina Lin , Xiao Ma

In this paper, we propose a simple procedure to construct (decodable) good codes with any given alphabet (of moderate size) for any given (rational) code rate to achieve any given target error performance (of interest) over additive white…

Information Theory · Computer Science 2015-10-19 Chulong Liang , Xiao Ma , Baoming Bai

In this paper, we propose systematic block Markov superposition transmission of repetition~(BMST-R) codes, which can support a wide range of code rates but maintain essentially the same encoding/decoding hardware structure. The systematic…

Information Theory · Computer Science 2016-01-21 Xiao Ma , Kechao Huang , Baoming Bai

Hadamard transform~(HT) as over the binary field provides a natural way to implement multiple-rate codes~(referred to as {\em HT-coset codes}), where the code length $N=2^p$ is fixed but the code dimension $K$ can be varied from $1$ to…

Information Theory · Computer Science 2023-07-19 Chulong Liang , Jingnan Hu , Xiao Ma , Baoming Bai

In this paper, a modified extrinsic information transfer (EXIT) chart analysis that takes into account the relation between mutual information (MI) and bit-error-rate (BER) is presented to study the convergence behavior of block Markov…

Information Theory · Computer Science 2015-02-03 Kechao Huang , Xiao Ma , Daniel J. Costello

For any given short code (referred to as the basic code), block Markov superposition transmission (BMST) provides a simple way to obtain predictable extra coding gain by spatial coupling the generator matrix of the basic code. This paper…

Information Theory · Computer Science 2014-05-13 Chulong Liang , Xiao Ma , Qiutao Zhuang , Baoming Bai

This paper is concerned with block Markov superposition transmission (BMST) of tail-biting convolutional code (TBCC). We propose a new decoding algorithm for BMST-TBCC, which integrates a serial list Viterbi algorithm (SLVA) with a soft…

Information Theory · Computer Science 2019-02-27 Xiao Ma , Wenchao Lin , Suihua Cai , Baodian Wei

We propose in this paper a new coding scheme called twisted-pair superposition transmission (TPST). The encoding is to "mix together" a pair of basic codes by superposition, while the decoding can be implemented as a successive cancellation…

Information Theory · Computer Science 2021-01-25 Suihua Cai , Xiao Ma

This paper studies the transmission of Gaussian sources through additive white Gaussian noise (AWGN) channels in bandwidth expansion regime, i.e., the channel bandwidth is greater than the source bandwidth. To mitigate the error propagation…

Information Theory · Computer Science 2016-03-08 Shancheng Zhao , Xiao Ma

In this work, a new fast-decodable space-time block code (STBC) is proposed. The code is full-rate and full-diversity for 4x2 multiple-input multiple-output (MIMO) transmission. Due to the unique structure of the codeword, the proposed code…

Information Theory · Computer Science 2014-01-08 Ming Liu , Maryline Hélard , Jean-François Hélard , Matthieu Crussière

In this paper, we present a belief propagation (BP) based algorithm for decoding non-orthogonal space-time block codes (STBC) from cyclic division algebras (CDA) having {\em large dimensions}. The proposed approach involves message passing…

Information Theory · Computer Science 2009-01-14 Madhekar Suneel , Pritam Som , A. Chockalingam , B. Sundar Rajan

State space models (SSMs) have shown impressive results on tasks that require modeling long-range dependencies and efficiently scale to long sequences owing to their subquadratic runtime complexity. Originally designed for continuous…

Computation and Language · Computer Science 2023-10-31 Mahan Fathi , Jonathan Pilault , Orhan Firat , Christopher Pal , Pierre-Luc Bacon , Ross Goroshin

We investigate error propagation in sliding window decoding of braided convolutional codes (BCCs). Previous studies of BCCs have focused on iterative decoding thresholds, minimum distance properties, and their bit error rate (BER)…

Information Theory · Computer Science 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

We investigate the properties of a Block Decomposition Method (BDM), which extends the power of a Coding Theorem Method (CTM) that approximates local estimations of algorithmic complexity based upon Solomonoff-Levin's theory of algorithmic…

Information Theory · Computer Science 2018-06-20 Hector Zenil , Santiago Hernández-Orozco , Narsis A. Kiani , Fernando Soler-Toscano , Antonio Rueda-Toicen

We introduce a new method for decoding short and moderate length linear block codes with dense parity-check matrix representations of cyclic form, termed multiple-bases belief-propagation (MBBP). The proposed iterative scheme makes use of…

Information Theory · Computer Science 2016-11-15 Thorsten Hehn , Johannes B. Huber , Olgica Milenkovic , Stefan Laendner

Scheduling to avoid packet collisions is a long-standing challenge in networking, and has become even trickier in wireless networks with multiple senders and multiple receivers. In fact, researchers have proved that even {\em perfect}…

Information Theory · Computer Science 2019-04-24 Steffen Bondorf , Binbin Chen , Jonathan Scarlett , Haifeng Yu , Yuda Zhao

We present a new decoder for the surface code, which combines the accuracy of the tensor-network decoders with the efficiency and parallelism of the belief-propagation algorithm. Our main idea is to replace the expensive tensor-network…

Quantum Physics · Physics 2024-04-17 Aviad Kaufmann , Itai Arad

The fundamental performance limits of space-time block code (STBC) designs when perfect channel information is available at the transmitter (CSIT) are studied in this report. With CSIT, the transmitter can perform various techniques such as…

Information Theory · Computer Science 2015-03-19 Liangbin Li , Hamid Jafarkhani

Efficient constellation design is important for improving performance in communication systems. The problem of multidimensional constellation design has been studied extensively in the literature in the context of multidimensional coded…

Information Theory · Computer Science 2020-04-14 Bharath Shamasundar , A. Chockalingam
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