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Related papers: Space-Time Codes from Structured Lattices

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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…

Information Theory · Computer Science 2007-07-13 Naftali Sommer , Meir Feder , Ofir Shalvi

Full-rate space-time block codes (STBCs) achieve high spectral-efficiency by transmitting linear combinations of information symbols through every transmit antenna. However, the coefficients used for the linear combinations, if not chosen…

Information Theory · Computer Science 2013-03-18 J. Harshan , Emanuele Viterbo

Recently, rate-1/n zero-terminated (ZT) and tail-biting (TB) convolutional codes (CCs) with cyclic redundancy check (CRC)-aided list decoding have been shown to closely approach the random-coding union (RCU) bound for short blocklengths.…

Information Theory · Computer Science 2023-10-11 Wenhui Sui , Brendan Towell , Ava Asmani , Hengjie Yang , Holden Grissett , Richard D. Wesel

This article introduces a 3D space-time-space block code for future terrestrial digital TV in single frequency networks. The proposed 3D code is based on a double layer structure designed for inter-cell and intra-cell space time coded…

Networking and Internet Architecture · Computer Science 2008-09-30 Youssef Nasser , Jean-François Hélard , Matthieu Crussière , Oudomsack Pasquero

This paper presents a low-ML-decoding-complexity, full-rate, full-diversity space-time block code (STBC) for a 2 transmit antenna, 2 receive antenna multiple-input multiple-output (MIMO) system, with coding gain equal to that of the best…

Information Theory · Computer Science 2016-11-15 K. Pavan Srinath , B. Sundar Rajan

Lattice and special nonlattice multilevel constellations constructed from binary codes, such as Constructions A, C, and D, have relevant applications in Mathematics (sphere packing) and in Communication (multi-stage decoding and efficient…

Information Theory · Computer Science 2019-06-10 Maiara Francine Bollauf , Ram Zamir , Sueli Irene Rodrigues Costa

Code based Language Models (LMs) have shown very promising results in the field of software engineering with applications such as code refinement, code completion and generation. However, the task of time and space complexity classification…

Software Engineering · Computer Science 2023-05-26 Kaushik Moudgalya , Ankit Ramakrishnan , Vamsikrishna Chemudupati , Xing Han Lu

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

Two new rate-one full-diversity space-time block codes (STBC) are proposed. They are characterized by the \emph{lowest decoding complexity} among the known rate-one STBC, arising due to the complete separability of the transmitted symbols…

Information Theory · Computer Science 2016-11-17 Dung Ngoc Dao , Chau Yuen , Chintha Tellambura , Yong Liang Guan , Tjeng Thiang Tjhung

In this paper, we introduce the notion of perfect space-time block codes (STBC). These codes have full rate, full diversity, non-vanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy…

Information Theory · Computer Science 2007-07-16 F. Oggier , G. Rekaya-Ben Othman , J. -C. Belfiore , E. Viterbo

This paper introduces a novel framework for constructing algebraic lattices based on Construction-D, leveraging nested linear codes and prime ideals from algebraic number fields. We focus on the application of these lattices in block-fading…

Information Theory · Computer Science 2025-04-16 Maryam Sadeghi , Hassan Khodaiemehr , Chen Feng

In this paper, we present a low-complexity algorithm for detection in high-rate, non-orthogonal space-time block coded (STBC) large-MIMO systems that achieve high spectral efficiencies of the order of tens of bps/Hz. We also present a…

Information Theory · Computer Science 2015-05-13 Saif K. Mohammed , Ahmed Zaki , A. Chockalingam , B. Sundar Rajan

We consider explicit constructions of multi-level lattice codes that universally approach the capacity of the compound block-fading channel. Specifically, building on algebraic partitions of lattices, we show how to construct codes with…

Information Theory · Computer Science 2017-05-09 Antonio Campello , Ling Liu , Cong Ling

The perfect space-time block codes (STBCs) are based on four design criteria - full-rateness, non-vanishing determinant, cubic shaping and uniform average transmitted energy per antenna per time slot. Cubic shaping and transmission at…

Information Theory · Computer Science 2012-12-12 K. Pavan Srinath , B. Sundar Rajan

We consider in this paper the design of full diversity and high rate space-time codes with moderate decoding complexity for arbitrary number of transmit and receive antennas and arbitrary input alphabets. We focus our attention to codes…

Information Theory · Computer Science 2010-01-21 Mohamed Oussama Damen , Hesham El Gamal , Ahmed A. Badr

Necessary conditions for asymptotically optimal sliding-block or stationary codes for source coding and rate-constrained simulation of memoryless sources are presented and used to motivate a design technique for trellis-encoded source…

Information Theory · Computer Science 2011-02-24 Mark Z. Mao , Robert M. Gray , Tamas Linder

Accurate channel state information (CSI) is essential for attaining beamforming gains in single-user (SU) multiple-input multiple-output (MIMO) and multiplexing gains in multi-user (MU) MIMO wireless communication systems. State-of-the-art…

Information Theory · Computer Science 2014-03-28 Junil Choi , Zachary Chance , David J. Love , Upamanyu Madhow

With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

Information Theory · Computer Science 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

An efficient, low-complexity, soft-output detector for general lattices is presented, based on their Tanner graph (TG) representations. Closest-point searches in lattices can be performed as non-binary belief propagation on associated TGs;…

Information Theory · Computer Science 2012-05-29 Dumitru Mihai Ionescu , Haidong Zhu
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