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We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been shown that, in the asymmetric setting with asymptotically vanishing type I error…

Quantum Physics · Physics 2024-03-28 Bjarne Bergh , Nilanjana Datta , Robert Salzmann , Mark M. Wilde

Channel state information (CSI) in the interference channel can be used to precode, align, and reduce the dimension of interference at the receivers, to achieve the channel's maximum multiplexing gain, through what is known as interference…

Information Theory · Computer Science 2015-06-03 Omar El Ayach , Robert W. Heath

In many practical applications, signals and environments are time- varying, which makes fixed filters unreliable. Adaptive filtering, on the other hand, updates in real time to suppress noise, track nonstationary signals, and identify…

General Mathematics · Mathematics 2026-03-12 Keshav Raj Acharya , Pitambar Acharya

Current quantum computers suffer from non-stationary noise channels with high error rates, which undermines their reliability and reproducibility. We propose a Bayesian inference-based adaptive algorithm that can learn and mitigate quantum…

Quantum Physics · Physics 2023-08-30 Samudra Dasgupta , Arshag Danageozian , Travis S. Humble

We consider a nonlinear filtering problem of multiscale non-Gaussian signal processes and observation processes with jumps. Firstly, we prove that the dimension for the signal system can be reduced by a homogenized approach. Secondly,…

Probability · Mathematics 2019-10-21 Huijie Qiao

We study filtering of multiscale dynamical systems with model error arising from unresolved smaller scale processes. The analysis assumes continuous-time noisy observations of all components of the slow variables alone. For a linear model…

Dynamical Systems · Mathematics 2014-12-03 Tyrus Berry , John Harlim

We consider the problem of learning a Gaussian variational approximation to the posterior distribution for a high-dimensional parameter, where we impose sparsity in the precision matrix to reflect appropriate conditional independence…

Computation · Statistics 2019-04-23 Linda S. L. Tan , David J. Nott

This paper presents adaptive bidirectional minimum mean-square error parameter estimation algorithms for fast-fading channels. The time correlation between successive channel gains is exploited to improve the estimation and tracking…

Information Theory · Computer Science 2015-10-14 P. Clarke , R. C. de Lamare

A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the…

Chaotic Dynamics · Physics 2009-11-07 K. Svozil , D. Felix , K. Ehrenberger

We consider the design of a pattern recognition that matches templates to images, both of which are spatially sampled and encoded as temporal sequences. The image is subject to a combination of various perturbations. These include ones that…

Computer Vision and Pattern Recognition · Computer Science 2009-05-22 Ivan Tyukin , Tatiana Tyukina , Cees van Leeuwen

In interference channels, channel state information (CSI) can be exploited to reduce the interference signal dimensions and thus achieve the optimal capacity scaling, i.e. degrees of freedom, promised by the interference alignment…

Information Theory · Computer Science 2017-01-03 Zhinan Xu , Markus Hofer , Thomas Zemen

Non-orthogonal communications play an important role in future communication architectures. In such scenarios, the received signal is corrupted by an interfering signal which is typically cyclostationary in continuous-time. If the period of…

Information Theory · Computer Science 2019-10-18 Nir Shlezinger , Emeka Abakasanga , Ron Dabora , Yonina C. Eldar

An achievable rate region, based on lattice interference alignment, is derived for a class of time-invariant Gaussian interference channels with more than two users. The result is established via a new coding theorem for the two-user…

Information Theory · Computer Science 2011-06-21 Or Ordentlich , Uri Erez

Many multichannel systems use a linear filter to retrieve a signal of interest corrupted by noise whose statistics are partly unknown. The optimal filter in Gaussian noise requires knowledge of the noise covariance matrix $\Sigma$ and in…

Signal Processing · Electrical Eng. & Systems 2021-08-30 Olivier Besson

We consider the optical fiber channel modelled by the nonlinear Schr\"{o}dinger equation with additive white Gaussian noise and with large signal-to-noise ratio. For the small dispersion case we present the approach to analyze the…

Information Theory · Computer Science 2019-05-22 A. V. Reznichenko , I. S. Terekhov

We study the properties of nonlinear interference noise (NLIN) in fiber-optic communications systems with large accumulated dispersion. Our focus is on settling the discrepancy between the results of the Gaussian noise (GN) model (according…

Optics · Physics 2015-06-16 Ronen Dar , Meir Feder , Antonio Mecozzi , Mark Shtaif

The problem of suboptimality under bounded disturbances for the adaptive systems based on speed-graadient approach is discussed. A formulation of the estimated optimality of nonlinear nonlinearly parametrized adaptive control systems is…

Optimization and Control · Mathematics 2025-03-27 Alexander Fradkov

We introduce a neural network conformal prediction method for time series that enhances adaptivity in non-stationary environments. Our approach acts as a neural controller designed to achieve desired target coverage, leveraging auxiliary…

Machine Learning · Computer Science 2024-12-25 Ruipu Li , Alexander Rodríguez

The success of nonlinear noise reduction applied to a single channel recording of human voice is measured in terms of the recognition rate of a commercial speech recognition program in comparison to the optimal linear filter. The overall…

Data Analysis, Statistics and Probability · Physics 2007-06-20 Krzysztof Urbanowicz , Holger Kantz

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

Optimization and Control · Mathematics 2019-10-23 Taeyoung Lee