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Through refined asymptotic analysis based on the normal approximation, we study how higher-order coding performance depends on the mean power as well as on finer statistics of the input power. We introduce a multifaceted power model in…

Information Theory · Computer Science 2026-05-13 Adeel Mahmood , Aaron B. Wagner

A significant hurdle for quantum information and processing using bosonic systems is stochastic phase errors which occur as the photons propagate through a channel. These errors will reduce the purity of states passing through the channel…

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

Yield curve forecasting is an important problem in finance. In this work we explore the use of Gaussian Processes in conjunction with a dynamic modeling strategy, much like the Kalman Filter, to model the yield curve. Gaussian Processes…

Machine Learning · Statistics 2017-03-07 Rajiv Sambasivan , Sourish Das

We consider the distributional connection between the lossy compressed representation of a high-dimensional signal $X$ using a random spherical code and the observation of $X$ under an additive white Gaussian noise (AWGN). We show that the…

Information Theory · Computer Science 2021-12-14 Alon Kipnis , Galen Reeves

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Orthogonal Time-Frequency Space modulation stands out as a promising waveform for 6G and beyond wireless communication systems, offering superior performance over conventional methods, particularly in high-mobility scenarios and dispersive…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Emir Aslandogan , Haci Ilhan

Sequential Bayesian Filtering aims to estimate the current state distribution of a Hidden Markov Model, given the past observations. The problem is well-known to be intractable for most application domains, except in notable cases such as…

Machine Learning · Statistics 2024-02-16 Théophile Cantelobre , Carlo Ciliberto , Benjamin Guedj , Alessandro Rudi

Estimation of the response probability distributions of computer simulators in the presence of randomness is a crucial task in many fields. However, achieving this task with guaranteed accuracy remains an open computational challenge,…

Computation · Statistics 2024-09-04 Chao Dang , Marcos A. Valdebenito , Nataly A. Manque , Jun Xu , Matthias G. R. Faes

Fraudulent activities are an expensive problem for many financial institutions, costing billions of dollars to corporations annually. More commonly occurring activities in this regard are credit card frauds. In this context, the credit card…

Machine Learning · Computer Science 2024-06-27 Harshit Sharma , Harsh K. Gandhi , Apoorv Jain

In the context of wireless communications, we propose a deep learning approach to learn the mapping from the instantaneous state of a frequency selective fading channel to the corresponding frame error probability (FEP) for an arbitrary set…

Signal Processing · Electrical Eng. & Systems 2017-11-01 Vidit Saxena , Joakim Jaldén , Mats Bengtsson , Hugo Tullberg

In this letter, we present a closed-form approximation of the outage probability for the multi-hop amplify-and-forward (AF) relaying systems with fixed gain in Rayleigh fading channel. The approximation is derived from the outage event for…

Performance · Computer Science 2008-12-05 Jun Kyoung Lee , Janghoon Yang , Dong Ku Kim

The average symbol error probability (SEP) of a 1-bit quantized single-input multiple-output (SIMO) system is analyzed under Rayleigh fading channels and quadrature phase-shift keying (QPSK) modulation. Previous studies have partially…

Signal Processing · Electrical Eng. & Systems 2025-10-03 Amila Ravinath , Minhua Ding , Bikshapathi Gouda , Italo Atzeni , Antti Tölli

To facilitate the numerical analysis of particle methods, we derive truncation error estimates for the approximate operators in a generalized particle method. Here, a generalized particle method is defined as a meshfree numerical method…

Numerical Analysis · Mathematics 2019-07-09 Yusuke Imoto

In this work, we consider the problem of distributed approximation of functions over multiple-access channels with additive noise. In contrast to previous works, we take fast fading into account and give explicit probability bounds for the…

Information Theory · Computer Science 2021-03-01 Igor Bjelakovic , Matthias Frey , Slawomir Stanczak

In this paper, new techniques are presented to either simplify or improve most existing upper bounds on the maximum-likelihood (ML) decoding performance of the binary linear codes over additive white Gaussian noise (AWGN) channels. Firstly,…

Information Theory · Computer Science 2015-03-19 Xiao Ma , Jia Liu , Baoming Bai

Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix.…

Classical Physics · Physics 2017-08-01 Alexandre V. Tishchenko , Alexey A. Shcherbakov

Fitting experiment data onto a curve is a common signal processing technique to extract data features and establish the relationship between variables. Often, we expect the curve to comply with some analytical function and then turn data…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Kai Wu , J. Andrew Zhang , Y. Jay Guo

Orthogonal frequency-division multiplexing with index modulation (OFDM-IM) has become a high-profile candidate for the modulation scheme in next generation networks, and many works have been published to analyze it in recent years. Error…

Information Theory · Computer Science 2019-02-19 Shuping Dang , Guoqing Ma , Basem Shihada , Mohamed-Slim Alouini

The emergence of WIMAX has attracted significant interests from all fields of wireless communications including students, researchers, system engineers and operators. The WIMAX can also be considered to be the main technology in the…

Networking and Internet Architecture · Computer Science 2012-11-20 Nuzhat Tasneem Awon , Md. Ashraful Islam , Md. Mizanur Rahman , A. Z. M. Touhidul Islam