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In this paper three different scenarios in wide band spectrum sensing have been studied. While the signal and noise statistics are supposed to be unspecified, random matrixes have been utilized in order to estimate the noise variance. These…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Sajjad Imani , Amin Banitalebi-Dehkordi , Mehdi Cheraghi

A sensor was developed to quantitatively measure perturbations which change the volume of a wave chaotic cavity while leaving its shape intact. The sensors work in the time domain by using either scattering fidelity of the transmitted…

The problem of parameter estimation by the continuous time observations of a deterministic signal in white gaussian noise is considered. The asymptotic properties of the maximul likelihood estimator are described in the asymptotics of small…

Statistics Theory · Mathematics 2015-09-10 Oleg Chernoyarov , Yury Kutoyants , Andrei Trifonov

Dynamical behaviors of a dissipative particle in a periodic potential subject to chaotic noise are reported. We discovered a macroscopic symmetry breaking effect of chaotic noise on a dissipative particle in a multi-stable systems emerging,…

chao-dyn · Physics 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

The synchronization of rhythms is ubiquitous in both natural and engineered systems, and the demand for data-driven analysis is growing. When rhythms arise from limit cycles, phase reduction theory shows that their dynamics are universally…

Chaotic Dynamics · Physics 2026-02-20 Haruma Furukawa , Takashi Imai , Toshio Aoyagi

Parameter estimation in linear errors-in-variables models typically requires that the measurement error distribution be known (or estimable from replicate data). A generalized method of moments approach can be used to estimate model…

Methodology · Statistics 2018-12-04 Linh Nghiem , Michael Byrd , Cornelis Potgieter

The problem of scheduling sensor transmissions for the detection of correlated random fields using spatially deployed sensors is considered. Using the large deviations principle, a closed-form expression for the error exponent of the miss…

Information Theory · Computer Science 2007-07-16 Youngchul Sung , Lang Tong , H. Vincent Poor

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

This article describes a procedure for measuring and evaluating radio impulsive noise (IN) from a specific source. A good knowledge of the noise caused by different sources is essential to plan radio services and to ensure good quality of…

Signal Processing · Electrical Eng. & Systems 2025-01-27 Marta Fernandez , Iratxe Landa , Amaia Arrinda , Ruben Torre , Manuel Velez

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible…

Data Analysis, Statistics and Probability · Physics 2016-10-11 J. Phillip Bailey , Aubrey N. Beal , Robert N. Dean , Michael C. Hamilton

Simultaneous estimation of multiple parameters in quantum metrological models is complicated by factors relating to the (i) existence of a single probe state allowing for optimal sensitivity for all parameters of interest, (ii) existence of…

Quantum Physics · Physics 2019-02-01 Sammy Ragy , Marcin Jarzyna , Rafal Demkowicz-Dobrzanski

We investigate mismatched estimation in the context of the distance geometry problem (DGP). In the DGP, for a set of points, we are given noisy measurements of pairwise distances between the points, and our objective is to determine the…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Mahmoud Abdelkhalek , Dror Baron , Chau-Wai Wong

In this paper, based on real-time nonlinear receding horizon control methodology, a novel approach is developed for parameter estimation of time invariant and time varying nonlinear dynamical systems in chaotic environments. Here, the…

Optimization and Control · Mathematics 2016-11-21 Fei Sun , Kamran Turkoglu

In this article, we derive concentration inequalities for the spectral norm of two classical sample estimators of large dimensional Toeplitz covariance matrices, demonstrating in particular their asymptotic almost sure consistence. The…

Information Theory · Computer Science 2015-10-28 Julia Vinogradova , Romain Couillet , Walid Hachem

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

Optimization and Control · Mathematics 2019-08-21 Chanying Li

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · Physics 2009-10-31 Thomas Schreiber , Andreas Schmitz

Chaotic oscillators have gained significant attention in the research community because of their ability to reproduce and investigate the complex dynamics of real-world phenomena. Recent advances in the design of chaotic oscillator…

Chaotic Dynamics · Physics 2026-03-19 Toni Ivas , Georgios Violakis , Roland Richter , Patrik Hoffmann , Sergey Shevchik

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

Methodology · Statistics 2021-01-19 Manuel M. Eichenlaub

Nearly all 3D displays need calibration for correct rendering. More often than not, the optical elements in a 3D display are misaligned from the designed parameter setting. As a result, 3D magic does not perform well as intended. The…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Hyoseok Hwang , Hyun Sung Chang , Dongkyung Nam , In So Kweon