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The goal of this paper is to present a non-iterative and more importantly an extremely fast algorithm to reconstruct images from compressively sensed (CS) random measurements. To this end, we propose a novel convolutional neural network…

计算机视觉与模式识别 · 计算机科学 2016-03-09 Kuldeep Kulkarni , Suhas Lohit , Pavan Turaga , Ronan Kerviche , Amit Ashok

Recently efforts have been made to use generalized sinc functions to perfectly reconstruct various kinds of non-bandlimited signals. As a consequence, perfect reconstruction sampling formulas have been established using such generalized…

信息论 · 计算机科学 2012-12-18 Youfa Li , Qiuhui Chen , Tao Qian , Yi Wang

We use compressed sensing to demonstrate theoretically the reconstruction of sub-wavelength features from measured far-field, and provide experimental proof-of-concept. The methods can be applied to non-optical microscopes, provided the…

光学 · 物理学 2015-05-14 Snir Gazit , Alexander Szameit , Yonina C. Eldar , Mordechai Segev

This paper addresses the topic of robust Bayesian compressed sensing over finite fields. For stationary and ergodic sources, it provides asymptotic (with the size of the vector to estimate) necessary and sufficient conditions on the number…

信息论 · 计算机科学 2014-01-20 Wenjie Li , Francesca Bassi , Michel Kieffer

This work deals with the problem of distributed data acquisition under non-linear communication constraints. More specifically, we consider a model setup where $M$ distributed nodes take individual measurements of an unknown structured…

信息论 · 计算机科学 2020-01-09 Martin Genzel , Peter Jung

Many analytic results for the connectivity, coverage, and capacity of wireless networks have been reported for the case where the number of nodes, $n$, tends to infinity (large-scale networks). The majority of these results have not been…

信息论 · 计算机科学 2012-11-12 Ali Eslami , Mohammad Nekoui , Hossein Pishro-Nik , F. Fekri

Line spectral estimation is the problem of recovering the frequencies and amplitudes of a mixture of a few sinusoids from equispaced samples. However, in a variety of signal processing problems arising in imaging, radar, and localization we…

信息论 · 计算机科学 2016-09-28 Reinhard Heckel , Mahdi Soltanolkotabi

This paper introduces an innovative approach for signal reconstruction using data acquired through multi-input-multi-output (MIMO) sampling. First, we show that it is possible to perfectly reconstruct a set of periodic band-limited signals…

信息论 · 计算机科学 2024-09-09 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

Light field reconstruction from images captured by focal plane sweeping can achieve high lateral resolution comparable to the modern camera sensor. This is impossible for the conventional micro-lenslet based light field capture systems.…

计算机视觉与模式识别 · 计算机科学 2017-02-15 Ni Chen , Zhenbo Ren , Dayan Li , Edmund Y. Lam , Guohai Situ

Abstract-One-bit compressive sensing (CS) is known to be particularly suited for resource-constrained wireless sensor networks (WSNs). In this paper, we consider 1-bit CS over noisy WSNs subject to channel-induced bit flipping errors, and…

信息论 · 计算机科学 2015-06-05 Ching-Hsien Chen , Jwo-Yuh Wu

Even though image signals are typically defined on a regular two-dimensional grid, there also exist many scenarios where this is not the case and the amplitude of the image signal only is available for a non-regular subset of pixel…

图像与视频处理 · 电气工程与系统科学 2022-04-28 Jürgen Seiler , Markus Jonscher , Michael Schöberl , André Kaup

This paper presents a performance analysis framework for linear detection in fast-fading channels with possibly correlated channel and noise. The framework is both accurate and adaptable, making it well-suited for analyzing a wide range of…

信号处理 · 电气工程与系统科学 2025-07-09 Almutasem Bellah Enad , Jihad Fahs , Hadi Sarieddeen , Hakim Jemaa , Tareq Y. Al-Naffouri

In modern applications multi-sensor arrays are subject to an ever-present demand to accommodate signals with higher bandwidths. Standard methods for broadband beamforming, namely digital beamforming and true-time delay, are difficult and…

信号处理 · 电气工程与系统科学 2022-06-16 Coleman DeLude , Santhosh Karnik , Mark Davenport , Justin Romberg

Sound field reconstruction refers to the problem of estimating the acoustic pressure field over an arbitrary region of space, using only a limited set of measurements. Physics-informed neural networks have been adopted to solve the problem…

音频与语音处理 · 电气工程与系统科学 2025-06-05 Stefano Damiano , Toon van Waterschoot

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

We address the problem of reconstructing a multi-band signal from its sub-Nyquist point-wise samples. To date, all reconstruction methods proposed for this class of signals assumed knowledge of the band locations. In this paper, we develop…

元胞自动机与格子气 · 物理学 2007-09-12 Moshe Mishali , Yonina C. Eldar

The detection and estimation of sinusoids is a fundamental signal processing task for many applications related to sensing and communications. While algorithms have been proposed for this setting, quantization is a critical, but often…

信号处理 · 电气工程与系统科学 2022-10-05 Ryan Dreifuerst , Robert W. Heath

Multi-view image acquisition systems with two or more cameras can be rather costly due to the number of high resolution image sensors that are required. Recently, it has been shown that by covering a low resolution sensor with a non-regular…

图像与视频处理 · 电气工程与系统科学 2022-04-11 Markus Jonscher , Jürgen Seiler , Thomas Richter , Michel Bätz , André Kaup

In this paper, we present an approach to the reconstruction of signals exhibiting sparsity in a transformation domain, having some heavily disturbed samples. This sparsity-driven signal recovery exploits a carefully suited random sampling…

信息论 · 计算机科学 2020-03-30 Ljubisa Stankovic , Milos Brajovic , Isidora Stankovic , Jonatan Lerga , Milos Dakovic

Reconstructing noise-driven nonlinear networks from time series of output variables is a challenging problem, which turns to be very difficult when nonlinearity of dynamics, strong noise impacts and low measurement frequencies jointly…

统计力学 · 物理学 2017-10-20 Rundong Shi , Gang Hu , Shihong Wang