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Simulation studies are used to evaluate and compare the properties of statistical methods in controlled experimental settings. In most cases, performing a simulation study requires knowledge of the true value of the parameter, or estimand,…

Methodology · Statistics 2025-03-04 Ashley I. Naimi , David Benkeser , Jacqueline E. Rudolph

In this paper, we consider the problem of variable packet-error coding, which emerges in network communication scenarios where a source transmits information to a destination through multiple disjoint paths. The objective is to design codes…

Information Theory · Computer Science 2025-06-19 Xiangliang Kong , Xin Wang , Ron M. Roth , Itzhak Tamo

We recently showed in [1] the superiority of certain structured coding matrices ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both…

Information Theory · Computer Science 2022-07-12 YuHao Liu , Teng Fu , Jean Barbier , TianQi Hou

Monte Carlo experiments produce samples in order to estimate features of a given distribution. However, simultaneous estimation of means and quantiles has received little attention, despite being common practice. In this setting we…

Computation · Statistics 2020-04-24 Nathan Robertson , James M. Flegal , Dootika Vats , Galin L. Jones

A coded modulation system is considered in which nonbinary coded symbols are mapped directly to nonbinary modulation signals. It is proved that if the modulator-channel combination satisfies a particular symmetry condition, the codeword…

Information Theory · Computer Science 2016-11-18 Mark F. Flanagan

We examine an error-correcting coding framework in which each coded symbol is constrained to be a function of a fixed subset of the message symbols. With an eye toward distributed storage applications, we seek to design systematic codes…

Information Theory · Computer Science 2015-02-23 Wael Halbawi , Matthew Thill , Babak Hassibi

Modulo-wrapping receivers have attracted interest in several areas of digital communications, including precoding and lattice coding. The asymptotic capacity and error performance of the modulo AWGN channel have been well established.…

Information Theory · Computer Science 2021-05-21 Gizem Tabak , Andrew Singer

This dissertation considers new constructions and decoding approaches for error-correcting codes based on non-conventional polynomials, with the objective of providing new coding solutions to the applications mentioned above. With skew…

Information Theory · Computer Science 2025-01-08 Hedongliang Liu

When a Monte Carlo algorithm is used to evaluate a physical observable A, it is possible to slightly modify the algorithm so that it evaluates simultaneously A and the derivatives $\partial$ $\varsigma$ A of A with respect to each…

Computational Physics · Physics 2020-05-20 J-M Tregan , S. Blanco , J. Dauchet , M Hafi , R. Fournier , L Ibarrart , P Lapeyre , N Villefranque

Multiple correlation is a fundamental concept with broad applications. The classical multiple correlation coefficient is developed to assess how strongly a dependent variable is associated with a linear combination of independent variables.…

Methodology · Statistics 2025-04-23 Kai Yang , Yuhong Zhou , Wei Xu , Kirsten Beyer

It is well known that Monte Carlo integration with variance reduction by means of control variates can be implemented by the ordinary least squares estimator for the intercept in a multiple linear regression model. A central limit theorem…

Statistics Theory · Mathematics 2019-10-10 François Portier , Johan Segers

Bit-interleaved coded modulation (BICM) using (bi-)orthogonal signals is especially well suited for the application in impulse-radio ultra-wideband transmission systems, which typically operate in the power-limited regime and require a very…

Information Theory · Computer Science 2015-03-18 Andreas Schenk , Robert F. H. Fischer

In asynchronous physical-layer network coding (APNC) systems, the symbols from multiple transmitters to a common receiver may be misaligned. The knowledge of the amount of symbol misalignment, hence its estimation, is important to PNC…

Information Theory · Computer Science 2017-01-24 Yulin Shao , Soung Chang Liew , Lu Lu

The connection between index coding and matroid theory have been well studied in the recent past. El Rouayheb et al. established a connection between multilinear representation of matroids and wireless index coding. Muralidharan and Rajan…

Information Theory · Computer Science 2015-01-22 Anoop Thomas , B. Sundar Rajan

In this paper, we study the transmit signal optimization in a multiple-input multiple-output (MIMO) radar system for sensing the angle information of multiple targets via their reflected echo signals. We consider a challenging and practical…

Information Theory · Computer Science 2024-09-16 Jiayi Yao , Shuowen Zhang

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

The purpose of this paper is to introduce a very efficient algorithm for signal extrapolation. It can widely be used in many applications in image and video communication, e. g. for concealment of block errors caused by transmission errors…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Jürgen Seiler , André Kaup

Encoding information about continuous variables using noisy computational units is a challenge; nonetheless, asymptotic theory shows that combining multiple periodic scales for coding can be highly precise despite the corrupting influence…

Neurons and Cognition · Quantitative Biology 2013-08-22 Alexander Mathis , Andreas V. M. Herz , Martin B. Stemmler

The trace of a matrix function f(A), most notably of the matrix inverse, can be estimated stochastically using samples< x,f(A)x> if the components of the random vectors x obey an appropriate probability distribution. However such a…

Numerical Analysis · Mathematics 2021-08-26 Andreas Frommer , Mostafa Nasr Khalil , Gustavo Ramirez-Hidalgo

The Viterbi algorithm, presented in 1967, allows a maximum likelihood decoding of partial response codes. This study focuses on the duobinary code which is the first member of this family and has been specified for the digital part of…

Information Theory · Computer Science 2022-09-07 Henri Mertens , Marc Van Droogenbroeck