14 papers · ranked by Valyu relevance
Fan Zhou, Brian M. Kurkoski
—Designs and methods for nested lattice codes using Construction D' lattices for coding and convolutional code lattices for shaping are described. Two encoding methods and a decoding algorithm for Construction D' coding lattices that can be used with shaping lattices for power-constrained channels are given. We…
Chengpin Luo, Brian M. Kurkoski
—A coding lattice Λc and a shaping lattice Λs forms a nested lattice code C if Λs ⊆ Λc. Under some conditions, C is a finite cyclic group formed by rectangular encoding. This paper presents the conditions for the existence of such C and provides some designs. These designs correspond to solutions to linear Diophantine…
Jiajie Xue, Brian M. Kurkoski
Decoding Authors: ['Jiajie Xue' 'Brian M. Kurkoski'] Abstract—Lattice codes with optimal decoding coefficient are capacity-achieving when dimension N → ∞. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail decoding even when R < C. This…
Maryam Sadeghi, Hassan Khodaiemehr, Chen Feng
—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 blockfading (BF) channels, which are characterized by piecewiseconstant fading across…
Jiajie Xue, Brian M. Kurkoski
—A genie-aided decoder for finite dimensional lattice codes is considered. The decoder may exhaustively search through all possible scaling factors α ∈ R. We show that this decoder can achieve lower word error rate (WER) than the oneshot decoder using αMMSE as a scaling factor. A lower bound on the WER for the decoder…
Leopold Bertholet, Chloe Makdad, Stephen Mackes, Daniel Chew + 1 more
This work introduces coset Bombe codes, a novel class of multilevel coset codes that generalize polar codes to dense lattice structures. By leveraging multilevel coding with non-binary codes designed for the lattice modulations and making use of Voronoi shaping, Bombe codes integrate the geometric strengths of dense…
Ling Liu, Junjiang Yu, Shanxiang Lyu, Baoming Bai
—This paper aims to provide a comprehensive introduction to lattices constructed based on polar-like codes and demonstrate some of their key properties, such as AWGNgoodness. We first present polar lattices directly from the perspective of their generator matrix. Next, we discuss their connection with the recently…
Rachna Srivastava, Vincent C. Gaudet, Patrick Mitran
This paper describes a field-programmable gate array (FPGA) implementation of a fixed-point low-density lattice code (LDLC) decoder where the Gaussian mixture messages that are exchanged during the iterative decoding process are approximated to a single Gaussian. A detailed quantization study is first performed to find…
María Constanza Estela, Claudio Valencia-Cordero, Luca Barletta
In this study, we work with lattice Gaussian coding for a K-user Gaussian interference channel. Following the procedure of Etkin et al., in which the capacity is found to be within 1 bit/s/Hz of the capacity of a two-user Gaussian interference channel for each type of interference using random codes, we work with…
Vadim A. Nenashev, Aleksandr R. Bestugin, Alexey V. Rabin, Sergei V. Solenyi + 2 more
'Sergei V. Solenyi' 'Sergey A. Nenashev' 'Hsiao-Chun Wu'] Currently, various applications of ultra-wideband signal-code constructions are among the most vibrant technologies, being implemented in very different fields. The purpose of this research consists of analyzing Barker codes and searching for the optimal nested…
Morteza Shoushtari, Willie Harrison, Predrag Ivanis, Goran Djordjević
'Goran Djordjević'] Nested linear coding is a widely used technique in wireless communication systems for improving both security and reliability. Some parameters, such as the relative generalized Hamming weight and the relative dimension/length profile, can be used to characterize the performance of nested linear…
Ying Chen, Jianrong Bao, Yanhai Shang, Chao Liu + 5 more
To obtain efficient channel codes with high power efficiency at moderate signal-to-noise ratios (SNRs), an efficient high-rate protograph quasi-cyclic (QC) low-density parity-check (LDPC) codes is optimally constructed. By an optimized protograph template, the code framework is firstly produced by the extensions of the…
Zihui Yan, Guanjin Qu, Xin Chen, Gang Zheng + 1 more
DNA-based data storage is a promising solution to the challenges of large-scale data storage. However, the low throughput of the mainstream inkjet-based DNA synthesis method has hindered its widespread adoption. In contrast, high-throughput electrochemical synthesis provides higher throughput but with more nucleotide…
Valéria G. Pedrosa, Max H. M. Costa, Sangun Park
The index coding problem consists of a system with a server and multiple receivers with different side information and demand sets, connected by a noiseless broadcast channel. The server knows the side information available to the receivers. The objective is to design an encoding scheme that enables all receivers to…