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Doubly-stochastic point processes model the occurrence of events over a spatial domain as an inhomogeneous Poisson process conditioned on the realization of a random intensity function. They are flexible tools for capturing spatial…

Methodology · Statistics 2024-06-28 Si Cheng , Jon Wakefield , Ali Shojaie

Given the necessity of connecting the unconnected, covering blind spots has emerged as a critical task in the next-generation wireless communication network. A direct solution involves obtaining a coverage manifold that visually showcases…

Networking and Internet Architecture · Computer Science 2023-12-12 Ruibo Wang , Washim Uddin Mondal , Mustafa A. Kishk , Vaneet Aggarwal , Mohamed-Slim Alouini

The maximum likelihood method is often used for parameter estimation in gravitational wave astronomy. Recently, an interesting approach was proposed by Vallisneri to evaluate the distributions of parameter estimation errors expected for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Naoki Seto , Koutarou Kyutoku

We use random matrix theory to study the spectrum of random geometric graphs, a fundamental model of spatial networks. Considering ensembles of random geometric graphs we look at short range correlations in the level spacings of the…

Physics and Society · Physics 2017-06-08 Carl P. Dettmann , Orestis Georgiou , Georgie Knight

This paper presents two approaches for filter design based on stochastic distances for intensity speckle reduction. A window is defined around each pixel, overlapping samples are compared and only those which pass a goodness-of-fit test are…

Information Theory · Computer Science 2013-08-21 Leonardo Torres , Alejandro C. Frery

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

The classical approach to system identification is based on stochastic assumptions about the measurement error, and provides estimates that have random nature. Worst-case identification, on the other hand, only assumes the knowledge of…

Systems and Control · Computer Science 2013-06-07 Fabrizio Dabbene , Mario Sznaier , Roberto Tempo

A group of cooperative aerial robots can be deployed to efficiently patrol a terrain, in which each robot flies around an assigned area and shares information with the neighbors periodically in order to protect or supervise it. To ensure…

We present methodology for estimating the stochastic intensity of a doubly stochastic Poisson process. Statistical and theoretical analyses of traffic traces show that these processes are appropriate models of high intensity traffic…

Machine Learning · Statistics 2020-07-24 Ruixin Wang , Prateek Jaiwal , Harsha Honnappa

In this paper, we characterize the worst-case interference for a finite-area TV white space heterogeneous network using the tools of stochastic geometry. We derive closed-form expressions on the probability distribution function (PDF) and…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Madhukar Deshmukh , S. M. Zafaruddin , Albena Mihovska , Ramjee Prasad

Radar odometry is crucial for robust localization in challenging environments; however, the sparsity of reliable returns and distinctive noise characteristics impede its performance. This paper introduces geometrically-constrained…

Robotics · Computer Science 2026-04-06 Wooseong Yang , Dongjae Lee , Minwoo Jung , Ayoung Kim

We propose a method to efficiently compute the forward stochastic reach (FSR) set and its probability measure for nonlinear systems with an affine disturbance input, that is stochastic and bounded. This method is applicable to systems with…

Systems and Control · Computer Science 2016-10-12 Baisravan HomChaudhuri , Abraham P. Vinod , Meeko M. K. Oishi

This letter considers a network where nodes share a wireless channel to work in turn as pulse radars for target detection and as transmitters for data exchange. Radar detection range and network throughput are studied using stochastic…

Networking and Internet Architecture · Computer Science 2018-05-31 Ping Ren , Andrea Munari , Marina Petrova

This paper develops a framework to study multi-hop relaying in a vehicular network consisting of vehicles and Road Side Units (RSUs), and the effect of this relaying on the network coverage and the communication delay. We use a stochastic…

Information Theory · Computer Science 2020-06-23 Hussein A. Ammar , Abdel-karim Ajami , Hassan Artail

Nowadays, mutual interference among automotive radars has become a problem of wide concern. In this paper, a decentralized spectrum allocation approach is presented to avoid mutual interference among automotive radars. Although…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Pengfei Liu , Yimin Liu , Tianyao Huang , Yuxiang Lu , Xiqin Wang

A general stochastic model is developed for the total interference in wideband systems, denoted as the PNSC(alpha) Interference Model. It allows one to obtain, analytic representations in situations where (a) interferers are distributed…

Applications · Statistics 2012-07-09 Gareth W. Peters , Ido Nevat , Francois Septier , Laurent Clavier

Automotive radar is a key component in an ADAS. The increasing number of radars implemented in vehicles makes interference between them a noteworthy issue. One method of interference mitigation is to limit the TBP of radar waveforms.…

Signal Processing · Electrical Eng. & Systems 2021-10-01 Hang Ruan , Yimin Liu , Tianyao Huang , Xiqin Wang

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

In this paper, we consider an underlay radar-massive MIMO spectrum sharing scenario in which massive MIMO base stations (BSs) are allowed to operate outside a circular exclusion zone centered at the radar. Modeling the locations of the…

Networking and Internet Architecture · Computer Science 2019-07-24 Raghunandan M. Rao , Harpeet S. Dhillon , Vuk Marojevic , Jeffrey H. Reed

We introduce a dynamic vehicle routing problem in which a single vehicle seeks to guard a circular perimeter against radially inward moving targets. Targets are generated uniformly as per a Poisson process in time with a fixed arrival rate…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Shivam Bajaj , Shaunak D. Bopardikar