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We propose an easy-to-implement hard-decision majority-logic decoding algorithm for Reed-Muller codes RM(r,m) with m >= 3, m/2 >= r >= 1. The presented algorithm outperforms the best known majority-logic decoding algorithms and offers…

Information Theory · Computer Science 2018-07-03 Juliane Bertram , Peter Hauck , Michael Huber

The classical persistence algorithm computes the unique decomposition of a persistence module implicitly given by an input simplicial filtration. Based on matrix reduction, this algorithm is a cornerstone of the emergent area of topological…

Algebraic Topology · Mathematics 2021-12-07 Tamal K. Dey , Cheng Xin

In this paper, we consider {\em media-based modulation (MBM)}, an attractive modulation scheme which is getting increased research attention recently, for the uplink of a massive MIMO system. Each user is equipped with one transmit antenna…

Information Theory · Computer Science 2016-11-02 Bharath Shamasundar , A. Chockalingam

A channel with continuous phase modulation and 1-bit ADC with oversampling is considered. Due to oversampling, higher-order modulations yield a higher achievable rate and this work presents a method to approach this with sophisticated…

Information Theory · Computer Science 2019-12-06 Rodrigo R. M. de Alencar , Lukas T. N. Landau , Rodrigo C. de Lamare

Binary multipliers have long been a staple component in digital circuitry, serving crucial roles in microprocessor design, digital signal processing units and many more applications. This work presents a unique design for a multiplier that…

Hardware Architecture · Computer Science 2024-09-26 Sakib Mohammad , Themistoklis Haniotakis

A method for reconstructing multiple-input multiple-output (MIMO) channel correlation matrices from lower dimensional channel measurements is presented. Exploiting the symmetry of correlation matrix structure enables reproducing higher…

Information Theory · Computer Science 2016-12-12 Rimvydas Aleksiejunas

Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which apply the algorithm under consideration modulo a number of primes and then lift…

Algebraic Geometry · Mathematics 2024-01-23 Dirk Basson , Janko Boehm , Magdaleen S. Marais , Mirko Rahn , Hobihasina P. Rakotoarisoa

Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded…

Information Theory · Computer Science 2023-08-02 S. Li , A. Mirani , M. Karlsson , E. Agrell

A modular grid is a pair of sequences $(f_m)_m$ and $(g_n)_n$ of weakly holomorphic modular forms such that for almost all $m$ and $n$, the coefficient of $q^n$ in $f_m$ is the negative of the coefficient of $q^m$ in $g_n$. Zagier proved…

Number Theory · Mathematics 2022-05-13 Michael Griffin , Paul Jenkins , Grant Molnar

Fractional polynomials are widely used for dose-response modelling, and recent Bayesian fractional polynomial work has renewed interest in this finite model class. We propose PMM-FP, a frequentist extension of Kunchenko's polynomial…

Methodology · Statistics 2026-05-26 Serhii Zabolotnii

Two new asynchronous modulation techniques for molecular timing (MT) channels are proposed. One based on modulating information on the time between two consecutive releases of indistinguishable information particles, and one based on using…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Nariman Farsad , Yonathan Murin , Weisi Guo , Chan-Byoung Chae , Andrew Eckford , Andrea Goldsmith

Computing Fourier transforms of k-sparse signals, where only k of N frequencies are non-zero, is fundamental in compressed sensing, radar, and medical imaging. While the Fast Fourier Transform (FFT) evaluates all N frequencies in $O(N \log…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Aaron R. Flouro , Shawn P. Chadwick

This paper introduces a new logic structure for reversible quantum circuit synthesis. Our synthesis method aims to minimize the quantum cost of reversible quantum circuits with decoders. In this method, multi-valued input, binary output…

Quantum Physics · Physics 2026-01-07 Sonia Yang , Ali Al-Bayaty , Marek Perkowski

Is it always necessary to compute tokens from shallow to deep layers in Transformers? The continued success of vanilla Transformers and their variants suggests an undoubted "yes". In this work, however, we attempt to break the depth-ordered…

Computation and Language · Computer Science 2024-07-10 Zhuocheng Gong , Ang Lv , Jian Guan , Junxi Yan , Wei Wu , Huishuai Zhang , Minlie Huang , Dongyan Zhao , Rui Yan

In this paper, a new multi-cell MMSE detector is proposed for massive MIMO systems. Let $K$ and $B$ denote the number of users in each cell and the number of available pilot sequences in the network, respectively, with $B = \beta K$, where…

Information Theory · Computer Science 2015-09-08 Xueru Li , Emil Björnson , Erik G. Larsson , Shidong Zhou , Jing Wang

Co-packaged optics (CPO) has emerged as a promising solution for achieving the ultra-high bandwidths, shoreline densities, and energy efficiencies required by future GPUs and network switches for AI. Microring modulators (MRMs) are well…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Dan Sturm , Marzieyh Rezaei , Alana Dee , Sajjad Moazeni

In this work faster unsigned multiplication has been achieved by using a combination of High Performance Multiplication [HPM] column reduction technique and implementing a N-bit multiplier using 4 N/2-bit multipliers (recursive…

Hardware Architecture · Computer Science 2011-10-20 V. Sreedeep , B. Ramkumar , Harish M Kittur

An algorithm for reversible logic synthesis is proposed. The task is, for a given $n$-bit substitution map $P_n: \{0,1\}^n \rightarrow \{0,1\}^n$, to find a sequence of reversible logic gates that implements the map. The gate library…

Logic in Computer Science · Computer Science 2024-07-24 Hochang Lee , Kyung Chul Jeong , Daewan Han , Panjin Kim

Massive multiple-input multiple-output (M-MIMO) architecture is the workhorse of modern communication systems. Currently, two fundamental bottlenecks, namely, power consumption and receiver saturation, limit the full potential achievement…

Information Theory · Computer Science 2022-10-20 Ziang Liu , Ayush Bhandari , Bruno Clerckx

In this paper, we propose a mixed-precision convolution unit architecture which supports different integer and floating point (FP) precisions. The proposed architecture is based on low-bit inner product units and realizes higher precision…

Hardware Architecture · Computer Science 2021-01-29 Hamzah Abdel-Aziz , Ali Shafiee , Jong Hoon Shin , Ardavan Pedram , Joseph H. Hassoun
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