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We develop a theory based on quasi-geometric (QG) approach to transform a small number of qubits into a larger number of error-correcting qubits by considering four different cases. More precisely, we use the 2-dimensional quasi-orthogonal…

In the evolving landscape of 5G and 6G networks, the demands extend beyond high data rates, ultra-low latency, and extensive coverage, increasingly emphasizing the need for reliability. This paper proposes an ultra-reliable multiple-input…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Pedro Benevenuto Valadares , Jonathan Aguiar Soares , Kayol Mayer , Dalton Soares Arantes

In this paper we propose a new construction method for rate-1 Fast-Group-Decodable (FGD) Space-Time-Block Codes (STBC)s for 2^a transmit antennas. We focus on the case of a=2 and we show that the new FGD rate-1 code has the lowest…

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

The computational complexity of optimum decoding for an orthogonal space-time block code G satisfying the orthogonality property that the Hermitian transpose of G multiplied by G is equal to a constant c times the sum of the squared symbols…

Information Theory · Computer Science 2009-10-13 Ender Ayanoglu , Erik G. Larsson , Eleftherios Karipidis

In this paper, we investigate symbol-level precoding (SLP) and efficient decoding techniques for downlink transmission, where we focus on scenarios where the base station (BS) transmits multiple QAM constellation streams to users equipped…

Signal Processing · Electrical Eng. & Systems 2024-10-30 X. Tong , A. Li , L. Lei , X. Hu , F. Dong , S. Chatzinotas , C. Masouros

Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decomposing these rings into local rings by the Chinese Remainder…

Information Theory · Computer Science 2017-02-02 Cem Güneri , Ferruh Özbudak , Buket Özkaya , Elif Saçıkara , Zahra Sepasdar , Patrick Solé

The problem of designing good Space-Time Block Codes (STBCs) with low maximum-likelihood (ML) decoding complexity has gathered much attention in the literature. All the known low ML decoding complexity techniques utilize the same approach…

Information Theory · Computer Science 2015-03-19 Lakshmi Prasad Natarajan , B. Sundar Rajan

In this paper, we deal with the design of high-rate, full-diversity, low maximum likelihood (ML) decoding complexity space-time block codes (STBCs) with code rates of 2 and 1.5 complex symbols per channel use for multiple-input multiple…

Information Theory · Computer Science 2009-07-07 Ertugrul Basar , Umit Aygolu

In this paper, we propose a spatial modulation (SM) scheme referred to as complex quadrature spatial modulation (CQSM). In contrast to quadrature spatial modulation (QSM), CQSM transmits two complex signal constellation symbols on the real…

Information Theory · Computer Science 2017-06-01 Manar Mohaisen , Saetbyeol Lee

We introduce a novel framework for implementing error-correction in constrained systems. The main idea of our scheme, called Quantized-Constraint Concatenation (QCC), is to employ a process of embedding the codewords of an error-correcting…

Information Theory · Computer Science 2023-02-07 Dor Elimelech , Tom Meyerovitch , Moshe Schwartz

Orthogonal geometric constructions are the basis of many many quantum error-correcting codes (QEC), but strict orthogonality constraints limit design flexibility and resource efficiency. We introduce a quasi-orthogonal geometric framework…

The main objective of this project is to design the full-rate Space-Time-Frequency Trellis code (STFTC), which is based on Quasi-Orthogonal designs for Multiple-Input Multiple-Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM)…

Information Theory · Computer Science 2012-07-03 J. Robinson Ebi Elias , R. Rajesh

We propose a general framework for decoding quantum error-correcting codes with generative modeling. The model utilizes autoregressive neural networks, specifically Transformers, to learn the joint probability of logical operators and…

Quantum Physics · Physics 2023-07-19 Hanyan Cao , Feng Pan , Yijia Wang , Pan Zhang

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

Quasi-cyclic (QC) low-density parity-check (LDPC) codes which are known as QC-LDPC codes, have many applications due to their simple encoding implementation by means of cyclic shift registers. In this paper, we construct QC-LDPC codes from…

Information Theory · Computer Science 2017-01-03 Hassan Khodaiemehr , Dariush Kiani

This paper presents two new space time block codes (STBCs) with quasi orthogonal structure for an open loop multi-input single-output (MISO) systems. These two codes have been designed to transmit from three or four antennas at the…

Information Theory · Computer Science 2016-05-20 Ali Lotfi-Rezaabad , Siamak Talebi , Ata Chizari

As the research on beyond 5G heats up, we survey and explore power and bandwidth efficient modulation schemes in details. In the existing publications and in various communication standards, initially square quadrature amplitude modulation…

Signal Processing · Electrical Eng. & Systems 2020-05-01 Praveen Kumar Singya , Parvez Shaik , Nagendra Kumar , Vimal Bhatia , Mohamed-Slim Alouini

Despite of the known gap from the Shannon's capacity, several standards are still employing QAM or star shape constellations, mainly due to the existing low complexity detectors. In this paper, we investigate the low complexity detection…

Information Theory · Computer Science 2017-04-19 Farbod Kayhan

Space-Time Block Codes (STBCs) suffer from a prohibitively high decoding complexity unless the low-complexity decodability property is taken into consideration in the STBC design. For this purpose, several families of STBCs that involve a…

Information Theory · Computer Science 2013-01-03 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

A partial interference cancellation (PIC) group decoding based space-time block code (STBC) design criterion was recently proposed by Guo and Xia, where the decoding complexity and the code rate trade-off is dealt when the full diversity is…

Information Theory · Computer Science 2010-01-04 Wei Zhang , Tianyi Xu , Xiang-Gen Xia