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We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

Information Theory · Computer Science 2016-12-01 Ankur Mallick , Animesh Kumar

We study the reconstruction of bandlimited fields from samples taken at unknown but statistically distributed sampling locations. The setup is motivated by distributed sampling where precise knowledge of sensor locations can be difficult.…

Information Theory · Computer Science 2017-07-12 Animesh Kumar

Environmental monitoring is often performed through a wireless sensor network, whose nodes are randomly deployed over the geographical region of interest. Sensors sample a physical phenomenon (the so-called field) and send their…

Networking and Internet Architecture · Computer Science 2015-05-19 Alessandro Nordio , Carla-Fabiana Chiasserini

Mobile sensing has been recently proposed for sampling spatial fields, where mobile sensors record the field along various paths for reconstruction. Classical and contemporary sampling typically assumes that the sampling locations are…

Information Theory · Computer Science 2017-11-15 Charvi Rastogi , Animesh Kumar

We consider a wireless sensor network, sampling a bandlimited field, described by a limited number of harmonics. Sensor nodes are irregularly deployed over the area of interest or subject to random motion; in addition sensors measurements…

Other Computer Science · Computer Science 2009-11-13 A. Nordio , C. -F. Chiasserini , E. Viterbo

Sampling of a spatiotemporal field for environmental sensing is of interest. Traditionally, a few fixed stations or sampling locations aid in the reconstruction of the spatial field. Recently, there has been an interest in mobile sensing…

Information Theory · Computer Science 2017-12-06 Sudeep Salgia , Animesh Kumar

In numerous graph signal processing applications, data is often missing for a variety of reasons, and predicting the missing data is essential. In this paper, we consider data on graphs modeled as bandlimited graph signals. Predicting or…

Signal Processing · Electrical Eng. & Systems 2023-03-14 Ajinkya Jayawant , Antonio Ortega

This paper addresses the problem of optimizing sensor deployment locations to reconstruct and also predict a spatiotemporal field. A novel deep learning framework is developed to find a limited number of optimal sampling locations and based…

Signal Processing · Electrical Eng. & Systems 2019-10-30 Jiahong Chen , Teng Li , Jing Wang , Clarence W. de Silva

In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstruction algorithms for simple hardware implementations, and…

Data Analysis, Statistics and Probability · Physics 2015-04-27 Hans G. Feichtinger , José C. Príncipe , José Luis Romero , Alexander Singh Alvarado , Gino Angelo Velasco

Wireless sensor networks are among the most promising technologies of the current era because of their small size, lower cost, and ease of deployment. With the increasing number of wireless sensors, the probability of generating missing…

Signal Processing · Electrical Eng. & Systems 2022-12-27 Anindya Mondal , Mayukhmali Das , Aditi Chatterjee , Palaniandavar Venkateswaran

In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical…

Numerical Analysis · Mathematics 2024-10-24 Longxiu Huang , Dongyang Li , Sui Tang , Qing Yao

Sampling of physical fields with mobile sensor is an emerging area. In this context, this work introduces and proposes solutions to a fundamental question: can a spatial field be estimated from samples taken at unknown sampling locations?…

Information Theory · Computer Science 2017-07-12 Animesh Kumar

A spatially distributed system contains a large amount of agents with limited sensing, data processing, and communication capabilities. Recent technological advances have opened up possibilities to deploy spatially distributed systems for…

Information Theory · Computer Science 2015-11-30 Cheng Cheng , Yingchun Jiang , Qiyu Sun

We consider the problem of reconstructing wideband frequency spectra from distributed, compressive measurements. The measurements are made by a network of nodes, each independently mixing the ambient spectra with low frequency, random…

Information Theory · Computer Science 2015-06-25 Thomas Kealy , Oliver Johnson , Robert Piechocki

Spatial sampling is traditionally studied in a static setting where static sensors scattered around space take measurements of the spatial field at their locations. In this paper we study the emerging paradigm of sampling and reconstructing…

Multimedia · Computer Science 2015-06-12 Jayakrishnan Unnikrishnan , Martin Vetterli

In most work to date, graph signal sampling and reconstruction algorithms are intrinsically tied to graph properties, assuming bandlimitedness and optimal sampling set choices. However, practical scenarios often defy these assumptions,…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

We give an overview of recent developments in the problem of reconstructing a band-limited signal from non-uniform sampling from a numerical analysis view point. It is shown that the appropriate design of the finite-dimensional model plays…

Numerical Analysis · Mathematics 2025-10-20 Thomas Strohmer

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from samples taken on a random periodic set. We show that such a…

Functional Analysis · Mathematics 2023-10-13 Jorge Antezana , Diana Carbajal , José Luis Romero
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