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When interference affecting various communication and sensor systems contains clearly identifiable outliers (e.g. an impulsive component), it can be efficiently mitigated in real time by intermittently nonlinear filters developed in our…

Signal Processing · Electrical Eng. & Systems 2019-06-05 Alexei V. Nikitin , Ruslan L. Davidchack

High-throughput data analyses are becoming common in biology, communications, economics and sociology. The vast amounts of data are usually represented in the form of matrices and can be considered as knowledge networks. Spectra-based…

Quantitative Methods · Quantitative Biology 2010-01-06 Viet-Anh Nguyen , Zdena Koukolikova-Nicola , Franco Bagnoli , Pietro Lio

This paper investigates the distributionally robust filtering of signals generated by state-space models driven by exogenous disturbances with noisy observations in finite and infinite horizon scenarios. The exact joint probability…

Optimization and Control · Mathematics 2024-07-29 Taylan Kargin , Joudi Hajar , Vikrant Malik , Babak Hassibi

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

We develop a general framework for state estimation in systems modeled with noise-polluted continuous time dynamics and discrete time noisy measurements. Our approach is based on maximum likelihood estimation and employs the calculus of…

Optimization and Control · Mathematics 2026-01-16 Griffin M. Kearney , Makan Fardad

Neural networks have become ubiquitous in audio effects modelling, especially for guitar amplifiers and distortion pedals. One limitation of such models is that the sample rate of the training data is implicitly encoded in the model weights…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-28 Alistair Carson , Vesa Välimäki , Alec Wright , Stefan Bilbao

This paper presents a new filter for state-space models based on Bellman's dynamic-programming principle, allowing for nonlinearity, non-Gaussianity and degeneracy in the observation and/or state-transition equations. The resulting Bellman…

Methodology · Statistics 2025-02-18 Rutger-Jan Lange

Ising machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by…

Optics · Physics 2020-04-28 Davide Pierangeli , Giulia Marcucci , Daniel Brunner , Claudio Conti

This paper addresses the challenging problem of parameter estimation in bilinear systems under colored noise. A novel approach, termed B-PF-RLS, is proposed, combining a particle filter (PF) with a recursive least squares (RLS) estimator.…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Khalid Abd El Mageed Hag Elamin

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

Applications · Statistics 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

A filter for inertial-based odometry is a recursive method used to estimate the pose from measurements of ego-motion and relative pose. Currently, there is no known filter that guarantees the computation of a globally optimal solution for…

Robotics · Computer Science 2024-02-08 Xinghan Li , Haoying Li , Guangyang Zeng , Qingcheng Zeng , Xiaoqiang Ren , Chao Yang , Junfeng Wu

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

We introduce neural information field filter, a Bayesian state and parameter estimation method for high-dimensional nonlinear dynamical systems given large measurement datasets. Solving such a problem using traditional methods, such as…

Machine Learning · Statistics 2024-12-17 Kairui Hao , Ilias Bilionis

The selection of penalty hyperparameters is a critical aspect in Nonnegative Matrix Factorization (NMF), since these values control the trade-off between reconstruction accuracy and adherence to desired constraints. In this work, we focus…

Machine Learning · Computer Science 2025-12-29 Laura Selicato , Flavia Esposito , Andersen Ang , Nicoletta Del Buono , Rafal Zdunek

With fluid antenna system (FAS) gradually establishing itself as a possible enabling technology for next generation wireless communications, channel estimation for FAS has become a pressing issue. Existing methodologies however face…

Signal Processing · Electrical Eng. & Systems 2025-07-09 Zhen Chen , Jianqing Li , Xiu Yin Zhang , Kai-Kit Wong , Chan-Byoung Chae , Yangyang Zhang

Infinite impulse response filters are an essential building block of many time-varying audio systems, such as audio effects and synthesisers. However, their recursive structure impedes end-to-end training of these systems using automatic…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-22 Chin-Yun Yu , Christopher Mitcheltree , Alistair Carson , Stefan Bilbao , Joshua D. Reiss , György Fazekas

The Kalman(-Bucy) filter is the natural choice for the state reconstruction of disturbed, linear dynamical systems based on flawed and incomplete measurements. Taking a deterministic viewpoint this work investigates possible extensions of…

Dynamical Systems · Mathematics 2025-06-03 Karl Kunisch , Jesper Schröder

Digital filters with variable bandwidth can be used for a variety of applications. Arbitrary change in the bandwidth of a digital Finite Impulse Response (FIR) filter can be acquired using sampling rate converters. In this paper, a sampling…

Signal Processing · Electrical Eng. & Systems 2021-09-27 Sushmitha Sajeevu , V. Sakthivel

A novel time-efficient framework is proposed for improving the robustness of a broadband multiple-input multiple-output (MIMO) system against unknown interference under rapidly-varying channels. A mean-squared error (MSE) minimization…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Jingjing Zhao , Jing Su , Kaiquan Cai , Yanbo Zhu , Yuanwei Liu , Naofal Al-Dhahir

In this paper, we propose an approach to address the problems with ambiguity in tuning the process and observation noises for a discrete-time linear Kalman filter. Conventional approaches to tuning (e.g. using normalized estimation error…

Systems and Control · Electrical Eng. & Systems 2021-08-25 Zhaozhong Chen , Christoffer Heckman , Simon Julier , Nisar Ahmed