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Full-rate space time codes (STC) with rate = number of transmit antennas have high multiplexing gain, but high decoding complexity even when decoded using reduced-complexity decoders such as sphere or QRDM decoders. In this paper, we…

Information Theory · Computer Science 2015-05-30 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Er Yang Zhang

Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently for cooperative networks and an upper-bound on the maximal rate of such codes along with…

Information Theory · Computer Science 2007-08-31 J. Harshan , B. Sundar Rajan

Max-product Belief Propagation (BP) is a popular message-passing algorithm for computing a Maximum-A-Posteriori (MAP) assignment over a distribution represented by a Graphical Model (GM). It has been shown that BP can solve a number of…

Data Structures and Algorithms · Computer Science 2015-09-24 Sungsoo Ahn , Sejun Park , Michael Chertkov , Jinwoo Shin

The training complexity of deep learning-based channel decoders scales exponentially with the codebook size and therefore with the number of information bits. Thus, neural network decoding (NND) is currently only feasible for very short…

Information Theory · Computer Science 2017-02-23 Sebastian Cammerer , Tobias Gruber , Jakob Hoydis , Stephan ten Brink

This paper proposes a low decoding complexity, full-diversity and full-rate space-time block code (STBC) for 4 transmit and 2 receive ($4\times 2$) multiple-input multiple-output (MIMO) systems. For such systems, the best code known is the…

Information Theory · Computer Science 2008-06-12 K. Pavan Srinath , B. Sundar Rajan

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

A set of sufficient conditions to construct $\lambda$-real symbol Maximum Likelihood (ML) decodable STBCs have recently been provided by Karmakar et al. STBCs satisfying these sufficient conditions were named as Clifford Unitary Weight…

Information Theory · Computer Science 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

Spiking neural networks (SNNs) are neural networks that enable energy-efficient signal processing due to their event-based nature. This paper proposes a novel decoding algorithm for low-density parity-check (LDPC) codes that integrates SNNs…

Signal Processing · Electrical Eng. & Systems 2024-10-16 Alexander von Bank , Eike-Manuel Edelmann , Sisi Miao , Jonathan Mandelbaum , Laurent Schmalen

The decoding of Low-Density Parity-Check codes by the Belief Propagation (BP) algorithm is revisited. We check the iterative algorithm for its convergence to a codeword (termination), we run Monte Carlo simulations to find the probability…

Information Theory · Computer Science 2007-07-13 M. G. Stepanov , M. Chertkov

In this paper, we propose a full-rate full-diversity space-time block code (STBC) for 2x2 reconfigurable multiple-input multiple-output (MIMO) systems that require a low complexity maximum likelihood (ML) detector. We consider a transmitter…

Information Theory · Computer Science 2015-05-27 Vida Vakilian , Hani Mehrpouyan , Yingbo Hua , Hamid Jafarkhani

In this paper, collocated and distributed space-time block codes (DSTBCs) which admit multi-group maximum likelihood (ML) decoding are studied. First the collocated case is considered and the problem of constructing space-time block codes…

Information Theory · Computer Science 2008-11-24 G. Susinder Rajan , B. Sundar Rajan

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

Data Analysis, Statistics and Probability · Physics 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová

We propose a new method called decoupling representation to represent Pauli operators as vectors over $GF(2)$, based on which we propose partially decoupled belief propagation and fully decoupled belief propagation decoding algorithm for…

Quantum Physics · Physics 2023-12-05 Zhengzhong Yi , Zhipeng Liang , Kaixin Zhong , Yulin Wu , Zhou Fang , Xuan Wang

Space-time coding techniques have become common-place in wireless communication standards as they provide an effective way to mitigate the fading phenomena inherent in wireless channels. However, the use of Space-Time Block Codes (STBCs)…

Information Theory · Computer Science 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

The space-time bit-interleaved coded modulation (ST-BICM) is an efficient technique to obtain high diversity and coding gain on a block-fading MIMO channel. Its maximum-likelihood (ML) performance is computed under ideal interleaving…

Information Theory · Computer Science 2016-11-15 Nicolas Gresset , Loic Brunel , Joseph Boutros

This work presents a hardware-efficient and fully parallelizable decoder for quantum LDPC codes that leverages belief propagation (BP) with a speculative post-processing strategy inspired by classical Chase decoding algorithm. By monitoring…

Quantum Physics · Physics 2026-02-11 Ming Wang , Ang Li , Frank Mueller

We propose an original particle-based implementation of the Loopy Belief Propagation (LPB) algorithm for pairwise Markov Random Fields (MRF) on a continuous state space. The algorithm constructs adaptively efficient proposal distributions…

Computation · Statistics 2015-06-22 Thibaut Lienart , Yee Whye Teh , Arnaud Doucet

Recently, Guo and Xia introduced low complexity decoders called Partial Interference Cancellation (PIC) and PIC with Successive Interference Cancellation (PIC-SIC), which include the Zero Forcing (ZF) and ZF-SIC receivers as special cases,…

Information Theory · Computer Science 2011-04-29 Lakshmi Prasad Natarajan , B. Sundar Rajan

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

We consider near maximum-likelihood (ML) decoding of short linear block codes. In particular, we propose a novel decoding approach based on neural belief propagation (NBP) decoding recently introduced by Nachmani et al. in which we allow a…

Information Theory · Computer Science 2020-11-30 Andreas Buchberger , Christian Häger , Henry D. Pfister , Laurent Schmalen , Alexandre Graell i Amat