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Recently a Bayesian methodology has been introduced, enabling the construction of sliding window detectors with the constant false alarm rate property. The approach introduces a Bayesian predictive inference approach, where under the…

应用统计 · 统计学 2018-12-27 Graham V. Weinberg

We consider the problem of sequential estimation of the unknowns of state-space and deep state-space models that include estimation of functions and latent processes of the models. The proposed approach relies on Gaussian and deep Gaussian…

机器学习 · 计算机科学 2024-03-26 Yuhao Liu , Marzieh Ajirak , Petar Djuric

The detection of continuous gravitational-wave signals requires to account for the motion of the detector with respect to the solar system barycenter in the data analysis. In order to search efficiently for such signals by means of the fast…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Andrzej Krolak , Massimo Tinto

In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all…

统计方法学 · 统计学 2014-06-17 Shirin Golchi , Derek R. Bingham , Hugh Chipman , David A. Campbell

This work tackles the target detection problem through the well-known global RX method. The RX method models the clutter as a multivariate Gaussian distribution, and has been extended to nonlinear distributions using kernel methods. While…

计算机视觉与模式识别 · 计算机科学 2020-12-24 Fatih Nar , Adrián Pérez-Suay , José Antonio Padrón , Gustau Camps-Valls

Space-time adaptive processing (STAP) is an effective tool for detecting a moving target in spaceborne or airborne radar systems. Statistical-based STAP methods generally need sufficient statistically independent and identically distributed…

信息论 · 计算机科学 2010-08-26 Ke Sun , Hao Zhang , Gang Li , Huadong Meng , Xiqin Wang

Statistical properties of coherent radiation propagating in a quasi - 1D random media is studied in the framework of random matrix theory. Distribution functions for the total transmission coefficient and the angular transmission…

凝聚态物理 · 物理学 2009-10-28 Eugene Kogan , Moshe Kaveh

The approach to the theory of a relativistic random process is considered by the path integral method as Brownian motion taking into account the boundedness of speed. An attempt was made to build a relativistic analogue of the Wiener…

广义相对论与量子宇宙学 · 物理学 2024-05-30 E. A. Kurianovich , A. I. Mikhailov , I. V. Volovich

First we introduce the two tau-functions which appeared either as the $\tau$-function of the integrable hierarchy governing the Riemann mapping of Jordan curves or in conformal field theory and the universal Grassmannian. Then we discuss…

数学物理 · 物理学 2019-03-18 Takafumi Amaba , Roland Friedrich

In the present paper we develop a Bayesian analysis of radar target detection that uses the parameters of conventional radar analysis to provide a valid prediction of target presence or absence when received signals cross or fail to cross…

信号处理 · 电气工程与系统科学 2019-03-21 Philip Cassady

Target characterization is an important step in many defense missions, often relying on fitting a known target model to observed data. Optimization of model parameters can be computationally expensive depending on the model complexity, thus…

信号处理 · 电气工程与系统科学 2022-06-07 Zachary Chance , Adam Kern , Arianna Burch , Justin Goodwin

The wave propagation in random medium plays a critical role in optics and quantum physics. Multiple scattering of coherent wave in a random medium determines the transport procedure. Brownian motions of the scatterers perturb each…

光学 · 物理学 2022-01-25 Peng Miao , Yifan Zhang , Cheng Wang , Shanbao Tong

We consider the semiclassical limit of the spectral form factor $K(\tau)$ of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set out to recover the universal behavior predicted by…

混沌动力学 · 物理学 2007-05-23 Stefan Heusler , Sebastian Müller , Petr Braun , Fritz Haake

Frequency diverse (FD) radar waveforms are attractive in radar research and practice. By combining two typical FD waveforms, the frequency diverse array (FDA) and the stepped-frequency (SF) pulse train, we propose a general FD waveform…

信息论 · 计算机科学 2016-03-29 Yimin Liu , Le Xiao , Xiqin Wang , Arye Nehorai

There are so many models in the literature that it is difficult for practitioners to decide which combinations are likely to be effective for a new task. This paper attempts to address this question by capturing relationships among…

人工智能 · 计算机科学 2021-11-08 Jiaji Huang , Qiang Qiu , Kenneth Church

We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiteness (radius of convergence) as well as some important…

复变函数 · 数学 2020-11-03 Maria Rosaria Formica , Eugeny Ostrovsky , Leonid Sirota

This paper addresses a critical preliminary step in radar signal processing: detecting the presence of a radar signal and robustly estimating its bandwidth. Existing methods which are largely statistical feature-based approaches face…

信号处理 · 电气工程与系统科学 2024-03-01 Akila Pemasiri , Zi Huang , Fraser Williams , Ethan Goan , Simon Denman , Terrence Martin , Clinton Fookes

In the civilian aviation field, the radar detection of hazardous weather phenomena (winds) is very important. This detection will allow the avoidance of these phenomena and consequently will enhance the safety of flights. In this work, we…

仪器与探测器 · 物理学 2012-01-27 Mohand Lagha , Mohamed Tikhemirine , Said Bergheul , Tahar Rezoug , Maamar Bettayeb

Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier representation,…

机器学习 · 统计学 2026-02-27 Arsalan Jawaid , Abdullah Karatas , Jörg Seewig

In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model…

混沌动力学 · 物理学 2013-03-27 Gabriele Gradoni , Jen-Hao Yeh , Bo Xiao , Thomas M. Antonsen , Steven M. Anlage , Edward Ott