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We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cram\'er-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of…

Optics · Physics 2013-10-31 Shan Zheng Ang , Glen I. Harris , Warwick P. Bowen , Mankei Tsang

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

We consider the problem of parameter estimation, based on noisy chaotic signals, from the viewpoint of twisted modulation for waveform communication. In particular, we study communication systems where the parameter to be estimated is…

Information Theory · Computer Science 2023-08-02 Neri Merhav

We present a method to determine the relative parameter mismatch in a collection of nearly identical chaotic oscillators by measuring large deviations from the synchronized state. We demonstrate our method with an ensemble of slightly…

Chaotic Dynamics · Physics 2016-09-08 Jupiter Bagaipo , Juan G. Restrepo

In this letter we study the design of algorithms for estimation of phase noise (PN) with colored noise sources. A soft-input maximum a posteriori PN estimator and a modified soft-input extended Kalman smoother are proposed. The performance…

Information Theory · Computer Science 2014-07-18 M. Reza Khanzadi , Rajet Krishnan , Thomas Eriksson

We present a new method for parameter identification of ODE system descriptions based on data measurements. Our method works by splitting the system into a number of subsystems and working on each of them separately, thereby being easily…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Anastasis Georgoulas , Allan Clark , Andrea Ocone , Stephen Gilmore , Guido Sanguinetti

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

We present an optimization-based method for the joint estimation of system parameters and noise covariances of linear time-variant systems. Given measured data, this method maximizes the likelihood of the parameters. We solve the…

Optimization and Control · Mathematics 2023-03-21 Léo Simpson , Andrea Ghezzi , Jonas Asprion , Moritz Diehl

This paper focuses on securely estimating the state of a nonlinear dynamical system from a set of corrupted measurements. In particular, we consider two broad classes of nonlinear systems, and propose a technique which enables us to perform…

Systems and Control · Computer Science 2016-03-23 Qie Hu , Dariush Fooladivanda , Young Hwan Chang , Claire J. Tomlin

Motivated by the need to secure cyber-physical systems against attacks, we consider the problem of estimating the state of a noisy linear dynamical system when a subset of sensors is arbitrarily corrupted by an adversary. We propose a…

Optimization and Control · Mathematics 2015-04-24 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada

This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of…

Information Theory · Computer Science 2017-05-23 Jinchi Chen , Yulong Liu

Standard noise radars, as well as noise-type radars such as quantum two-mode squeezing radar, are characterized by a covariance matrix with a very specific structure. This matrix has four independent parameters: the amplitude of the…

Signal Processing · Electrical Eng. & Systems 2022-08-10 David Luong , Bhashyam Balaji , Sreeraman Rajan

The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

Statistics Theory · Mathematics 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar

Noise parameters are a set of four measurable quantities which determine the noise performance of a radio-frequency device under test. The noise parameters of a 2-port device can be extracted by connecting a set of 4 or more source…

Instrumentation and Methods for Astrophysics · Physics 2023-03-22 Danny C. Price , Cheuk-Yu Edward Tong , Adrian T. Sutinjo , Lincoln J. Greenhill , Nipanjana Patra

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · Physics 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We…

We address the problem of robust state estimation of a class of discrete-time nonlinear systems with positive-slope nonlinearities when the sensors are corrupted by (potentially unbounded) attack signals and bounded measurement noise. We…

Signal Processing · Electrical Eng. & Systems 2018-09-21 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

Information Theory · Computer Science 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz
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