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Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

信息论 · 计算机科学 2015-07-24 Yuanxin Li , Yuejie Chi

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

信号处理 · 电气工程与系统科学 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

A new spectrum sensing detector is proposed and analytically studied, when it operates under generalized noise channels. Particularly, the McLeish distribution is used to model the underlying noise, which is suitable for both non-Gaussian…

信息论 · 计算机科学 2020-09-15 Nikolaos I. Miridakis , Theodoros A. Tsiftsis , Guanghua Yang

In compressed sensing a sparse vector is approximately retrieved from an under-determined equation system $Ax=b$. Exact retrieval would mean solving a large combinatorial problem which is well known to be NP-hard. For $b$ of the form…

最优化与控制 · 数学 2021-04-06 Marcus Carlsson , Daniele Gerosa , Carl Olsson

We consider the compressive sensing of a sparse or compressible signal ${\bf x} \in {\mathbb R}^M$. We explicitly construct a class of measurement matrices, referred to as the low density frames, and develop decoding algorithms that produce…

信息论 · 计算机科学 2009-03-05 Mehmet Akçakaya , Jinsoo Park , Vahid Tarokh

In this work, we present Detective - an attentive object detector that identifies objects in images in a sequential manner. Our network is based on an encoder-decoder architecture, where the encoder is a convolutional neural network, and…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Amine Kechaou , Manuel Martinez , Monica Haurilet , Rainer Stiefelhagen

The signal half of an entangled twin-beam, generated using spontaneous parametric downconversion, interrogates a region of space that is suspected of containing a target, and has high loss and high (entanglement-breaking) background noise.…

量子物理 · 物理学 2009-11-11 Saikat Guha , Baris I. Erkmen

In this paper, we develop a framework to design sensing matrices for compressive sensing applications that lead to good mean squared error (MSE) performance subject to sensing cost constraints. By capitalizing on the MSE of the oracle…

信息论 · 计算机科学 2021-01-28 Wei Chen , Miguel R. D. Rodrigues , Ian Wassell

In this letter, a binary sparse Bayesian learning (BSBL) algorithm is proposed to slove the one-bit compressed sensing (CS) problem in both single measurement vector (SMV) and multiple measurement vectors (MMVs). By utilising the…

信息论 · 计算机科学 2018-05-09 Jiang Zhu , Lin Han , Xiangming Meng , Zhiwei Xu

General object detectors use powerful backbones that uniformly extract features from images for enabling detection of a vast amount of object types. However, utilization of such backbones in object detection applications developed for…

计算机视觉与模式识别 · 计算机科学 2021-08-04 Alexandra Dana , Maor Shutman , Yotam Perlitz , Ran Vitek , Tomer Peleg , Roy J Jevnisek

The paper addresses the problem of designing radar detectors more robust than Kelly's detector to possible mismatches of the assumed target signature, but with no performance degradation under matched conditions. The idea is to model the…

信号处理 · 电气工程与系统科学 2019-10-02 Angelo Coluccia , Giuseppe Ricci , Olivier Besson

Compressive sensing (CS) is a data acquisition technique that measures sparse or compressible signals at a sampling rate lower than their Nyquist rate. Results show that sparse signals can be reconstructed using greedy algorithms, often…

信息论 · 计算机科学 2016-02-23 Jinye Zhang , Laming Chen , Petros T. Boufounos , Yuantao Gu

In this paper, we study sparse signal detection problems in Degree Corrected Exponential Random Graph Models (ERGMs). We study the performance of two tests based on the conditionally centered sum of degrees and conditionally centered…

统计理论 · 数学 2021-08-23 Yuanzhe Xu , Sumit Mukherjee

The probability density function (pdf) of the received signal of an ambient backscatter communication system is derived, assuming that on-off keying (OOK) is performed at the tag, and that the ambient radio frequency (RF) signal is white…

信息论 · 计算机科学 2020-10-28 Sudarshan Guruacharya , Xiao Lu , Ekram Hossain

In this paper we study sharp thresholds for detecting sparse signals in $\beta$-models for potentially sparse random graphs. The results demonstrate interesting interplay between graph sparsity, signal sparsity, and signal strength. In…

统计理论 · 数学 2017-05-30 Rajarshi Mukherjee , Sumit Mukherjee , Subhabrata Sen

Smart Grids measure energy usage in real-time and tailor supply and delivery accordingly, in order to improve power transmission and distribution. For the grids to operate effectively, it is critical to collect readings from…

信息论 · 计算机科学 2012-02-24 Sheng Cai , Jihang Ye , Minghua Chen , Jianxin Yan , Sidharth Jaggi

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

信息论 · 计算机科学 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Many communications and sensing applications hinge on the detection of a signal in a noisy, interference-heavy environment. Signal processing theory yields techniques such as the generalized likelihood ratio test (GLRT) to perform detection…

信号处理 · 电气工程与系统科学 2022-06-16 Rajeev Sahay , Swaroop Appadwedula , David J. Love , Christopher G. Brinton

Sparse signals (i.e., vectors with a small number of non-zero entries) build the foundation of most kernel (or nullspace) results, uncertainty relations, and recovery guarantees in the sparse signal processing and compressive sensing…

信息论 · 计算机科学 2015-07-13 Christoph Studer

Compressed Sensing decoding algorithms can efficiently recover an N dimensional real-valued vector x to within a factor of its best k-term approximation by taking m = 2klog(N/k) measurements y = Phi x. If the sparsity or approximate…

数值分析 · 数学 2008-12-09 Rachel Ward