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A very simple linear signal predictor that uses past predicted values rather than past signal values for prediction is presented. Man-made or natural systems utilizing this predictor would not require a memory of input signal values but…

Data Analysis, Statistics and Probability · Physics 2016-08-22 Henning U. Voss

Pathwise predictability of continuous time processes is studied in deterministic setting. We discuss uniform prediction in some weak sense with respect to certain classes of inputs. More precisely, we study possibility of approximation of…

Optimization and Control · Mathematics 2009-11-13 Nikolai Dokuchaev

We propose that feedback-delayed manual tracking performance is limited by fundamental constraints imposed by the physics of negative group delay. To test this hypothesis, the results of an experiment in which subjects demonstrate both…

Adaptation and Self-Organizing Systems · Physics 2016-06-27 Henning U. Voss , Nigel Stepp

The feedforward selective fixed-filter method selects the most suitable pre-trained control filter based on the spectral features of the detected reference signal, effectively avoiding slow convergence in conventional adaptive algorithms.…

Signal Processing · Electrical Eng. & Systems 2025-08-04 Hong-Cheng Liang , Man-Wai Mak , Kong Aik Lee

The focus of this paper is the estimation of a delay between two signals. Such a problem is common in signal processing and particularly challenging when the delay is non-stationary in nature. Our proposed solution is based on an all-pass…

Signal Processing · Electrical Eng. & Systems 2021-06-17 Beth Jelfs , Shuai Sun , Kamran Ghorbani , Christopher Gilliam

This paper focuses on designing a particle filter for randomly delayed measurements with an unknown latency probability. A generalized measurement model is adopted which includes measurements that are delayed randomly by an arbitrary but…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Ranjeet Kumar Tiwari , Shovan Bhaumik , Paresh Date

Pathwise predictability and predictors for discrete time processes are studied in deterministic setting. It is suggested to approximate convolution sums over future times by convolution sums over past time. It is shown that all band-limited…

Optimization and Control · Mathematics 2012-05-04 Nikolai Dokuchaev

In this paper, we study a simple correlation-based strategy for estimating the unknown delay and amplitude of a signal based on a small number of noisy, randomly chosen frequency-domain samples. We model the output of this "compressive…

Information Theory · Computer Science 2016-11-17 Armin Eftekhari , Justin Romberg , Michael B. Wakin

Networked Predictive Control is widely used to mitigate the effect of delays and dropouts in Networked Control Systems, particularly when these exceed the sampling time. A key design choice of these methods is the delay bound, which…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Severin Beger , Yihui Lin , Katarina Stanojevic , Sandra Hirche

A generalized sampling theorem for frequency localized signals is presented. The generalization in the proposed model of sampling is twofold: (1) It applies to various prefilters effecting a "soft" bandlimitation, (2) an approximate…

Information Theory · Computer Science 2009-08-30 Edwin Hammerich

A method for constructing non-uniform filter banks is presented. Starting from a uniform system of translates, generated by a prototype filter, a non-uniform covering of the frequency axis is obtained by composition with a warping function.…

Functional Analysis · Mathematics 2019-12-23 Nicki Holighaus , Christoph Wiesmeyr , Zdeněk Průša

Real-time prediction of signals is a task often encountered in control problems as well as by living systems. Here a model-free prediction approach based on the coupling of a linear relaxation-delay system to a smooth, stationary signal is…

Adaptation and Self-Organizing Systems · Physics 2016-07-29 Henning U. Voss

We consider the Bayesian optimal filtering problem: i.e. estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and…

Machine Learning · Statistics 2023-03-16 Adrian N. Bishop , Edwin V. Bonilla

We consider the universal discrete filtering problem, where an input sequence generated by an unknown source passes through a discrete memoryless channel, and the goal is to estimate its components based on the output sequence with limited…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Pumiao Yan , Jiwon Jeong , Naomi Sagan , Tsachy Weissman

While numerous forecasters have been proposed using different network architectures, the Transformer-based models have state-of-the-art performance in time series forecasting. However, forecasters based on Transformers are still suffering…

Machine Learning · Computer Science 2024-11-06 Kun Yi , Jingru Fei , Qi Zhang , Hui He , Shufeng Hao , Defu Lian , Wei Fan

A fully analytical controller design is proposed to tackle a periodic control problem for stable linear systems with an input delay. Applying the internal model control scheme, the controller design reduces to designing a filter, which is…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Can Kutlu Yüksel , Tomáš Vyhlídal , Jaroslav Bušek , Martin Hromčík , Silviu-Iulian Niculescu

Numerous scheduling algorithms have been proposed to optimize various performance metrics like throughput, delay and utility in wireless networks. However, these algorithms often require instantaneous access to network state information,…

Performance · Computer Science 2022-12-01 Bai Liu , Eytan Modiano

We turn a given filter bank into a filtering scheme that provides perfect reconstruction, synthesis is the adjoint of the analysis part (so-called unitary filter banks), all filters have equal norm, and the essential features of the…

Functional Analysis · Mathematics 2017-09-04 Martin Ehler

Networked control systems are feedback control systems with system components distributed at different locations connected through a communication network. Since the communication network is carried out through the internet and there are…

Robotics · Computer Science 2023-03-13 Mahsa Noroozi , Lorenz Kies

It is shown that the leaky integrator, the basis for many neuronal models, possesses a negative group delay when a time-delayed recurrent inhibition is added to it. By means of this negative group delay, the leaky integrator becomes a…

Neurons and Cognition · Quantitative Biology 2016-07-29 Henning U. Voss
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