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This work investigates linear precoding over non-singular linear channels with additive white Gaussian noise, with lattice-type inputs. The aim is to maximize the minimum distance of the received lattice points, where the precoder is…

Information Theory · Computer Science 2012-04-10 D. Kapetanovic , H. V. Cheng , W. H. Mow , F. Rusek

Supporting ultra-reliable and low-latency communication (URLLC) is a challenge in current wireless systems. Channel codes that generate large codewords improve reliability but necessitate the use of interleavers, which introduce undesirable…

Information Theory · Computer Science 2023-07-12 Sahar Allahkaram , Francisco A. Monteiro , Ioannis Chatzigeorgiou

The question of list decoding error-correcting codes over finite fields (under the Hamming metric) has been widely studied in recent years. Motivated by the similar discrete structure of linear codes and point lattices in R^N, and their…

Information Theory · Computer Science 2012-04-10 Elena Grigorescu , Chris Peikert

It is known that, for transmission over quasi-static MIMO fading channels with n transmit antennas, diversity can be obtained by using an inner fully diverse space-time block code while coding gain, derived from the determinant criterion,…

Information Theory · Computer Science 2010-08-10 Frederique Oggier , Patrick Sole , Jean-Claude Belfiore

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

A Lattice is a partially ordered set where both least upper bound and greatest lower bound of any pair of elements are unique and exist within the set. K\"{o}tter and Kschischang proved that codes in the linear lattice can be used for error…

Discrete Mathematics · Computer Science 2021-09-30 Pranab Basu

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

For any $n_t$ transmit, $n_r$ receive antenna ($n_t\times n_r$) MIMO system in a quasi-static Rayleigh fading environment, it was shown by Elia et al. that linear space-time block code-schemes (LSTBC-schemes) which have the non-vanishing…

Information Theory · Computer Science 2013-04-30 K. Pavan Srinath , B. Sundar Rajan

Zhang et. al. recently derived upper and lower bounds on the achievable diversity of an N_R x N_T i.i.d. Rayleigh fading multiple antenna system using transmit antenna selection, spatial multiplexing and a linear receiver structure. For the…

Information Theory · Computer Science 2007-07-13 J. Jalden , B. Ottersten

The use of Space-Time Block Codes (STBCs) increases significantly the optimal detection complexity at the receiver unless the low-complexity decodability property is taken into consideration in the STBC design. In this paper we propose a…

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

Precoding for multiple-input, multiple-output (MIMO) antenna systems is considered with perfect channel knowledge available at both the transmitter and the receiver. For 2 transmit antennas and QAM constellations, an approximately optimal…

Information Theory · Computer Science 2015-03-17 K. Pavan Srinath , B. Sundar Rajan

In this paper, the inherent drawbacks of the naive lattice decoding for MIMO fading systems is investigated. We show that using the naive lattice decoding for MIMO systems has considerable deficiencies in terms of the rate-diversity…

Information Theory · Computer Science 2007-09-04 Mahmoud Taherzadeh , Amir K. Khandani

In multiple-input multiple-output (MIMO) fading channels maximum likelihood (ML) detection is desirable to achieve high performance, but its complexity grows exponentially with the spectral efficiency. The current state of the art in MIMO…

Information Theory · Computer Science 2007-07-13 Massimiliano Siti , Michael P. Fitz

We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned…

Information Theory · Computer Science 2017-01-11 Antonio Campello , Cong Ling , Jean-Claude Belfiore

In this paper, a new method is proposed to obtain full-diversity, rate-2 (rate of 2 complex symbols per channel use) space-time block codes (STBCs) that are full-rate for multiple input, double output (MIDO) systems. Using this method,…

Information Theory · Computer Science 2013-04-25 K. Pavan Srinath , B. Sundar Rajan

In this article, the first general constructions of fast-decodable, more specifically (conditionally) $g$-group decodable, space-time block codes for the Nonorthogonal Amplify and Forward (NAF) Multiple-Input Multiple-Output (MIMO) relay…

Information Theory · Computer Science 2015-12-11 Amaro Barreal , Camilla Hollanti , Nadya Markin

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

This paper deals with Low-Density Construction-A (LDA) lattices, which are obtained via Construction A from non-binary Low-Density Parity-Check codes. More precisely, a proof is provided that Voronoi constellations of LDA lattices achieve…

Information Theory · Computer Science 2016-03-10 Nicola di Pietro , Gilles Zémor , Joseph J. Boutros

Space-time block codes (STBCs) from non-square complex orthogonal designs are bandwidth efficient when compared with those from square real/complex orthogonal designs. Though there exists rate-1 ROD for any number of transmit antennas,…

Information Theory · Computer Science 2008-08-12 Smarajit Das , B. Sundar Rajan

The work identifies the first lattice decoding solution that achieves, in the general outage-limited MIMO setting and in the high-rate and high-SNR limit, both a vanishing gap to the error-performance of the (DMT optimal) exact solution of…

Information Theory · Computer Science 2016-11-18 Arun Singh , Petros Elia , Joakim Jalden