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This paper is devoted to the performance analysis of the detectors proposed in the companion paper where a comprehensive design framework is presented for the adaptive detection of subspace signals. The framework addresses four variations…

信号处理 · 电气工程与系统科学 2022-11-23 Pia Addabbo , Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

This paper addresses the standard generalized likelihood ratio test (GLRT) detection problem of weak signals in background noise. In so doing, we consider a nonfluctuating target embedded in complex white Gaussian noise (CWGN), in which the…

This paper investigates distributed detection of sparse stochastic signals with quantized measurements under Byzantine attacks. Under this type of attack, sensors in the networks might send falsified data to degrade system performance. The…

信号处理 · 电气工程与系统科学 2023-05-01 Chen Quan , Yunghsiang S. Han , Baocheng Geng , Pramod K. Varshney

In this paper, we reconsider the problem of detecting a matrix-valued rank-one signal in unknown Gaussian noise, which was previously addressed for the case of sufficient training data. We relax the above assumption to the case of limited…

信号处理 · 电气工程与系统科学 2021-05-28 Weijian Liu , Zhaojian Zhang , Jun Liu , Zheran Shang , Yong-Liang Wang

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

信号处理 · 电气工程与系统科学 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

In this paper we present two new approaches to efficiently solve large-scale compressed sensing problems. These two ideas are independent of each other and can therefore be used either separately or together. We consider all possibilities.…

机器学习 · 统计学 2013-12-17 Robert Vanderbei , Han Liu , Lie Wang , Kevin Lin

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

机器学习 · 计算机科学 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Based on $\alpha$-stable random projections with small $\alpha$, we develop a simple algorithm for compressed sensing (sparse signal recovery) by utilizing only the signs (i.e., 1-bit) of the measurements. Using only 1-bit information of…

统计方法学 · 统计学 2015-11-12 Ping Li

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

信息论 · 计算机科学 2015-10-28 Sohail Bahmani , Justin Romberg

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

信息论 · 计算机科学 2013-02-07 Lixin Shen , Bruce W. Suter

Let $x\in\mathbb{C}^n$ be a spectrally sparse signal consisting of $r$ complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is about reconstructing $x$ from its partial revealed entries. By…

最优化与控制 · 数学 2017-08-01 Jian-Feng Cai , Tianming Wang , Ke Wei

A new variant of the Compressed Sensing problem is investigated when the number of measurements corrupted by errors is upper bounded by some value l but there are no more restrictions on errors. We prove that in this case it is enough to…

信息论 · 计算机科学 2015-09-25 Grigory Kabatiansky , Cedric Tavernier , Serge Vladuts

This paper considers the problem of detecting a high dimensional signal (not necessarily sparse) based on compressed measurements with physical layer secrecy guarantees. First, we propose a collaborative compressive detection (CCD)…

应用统计 · 统计学 2015-02-19 Bhavya Kailkhura , Thakshila Wimalajeewa , Pramod K. Varshney

Wideband spectrum sensing is a significant challenge in cognitive radios (CRs) due to requiring very high-speed analog- to-digital converters (ADCs), operating at or above the Nyquist rate. Here, we propose a very low-complexity zero-block…

信息论 · 计算机科学 2015-07-06 Zeinab Zeinalkhani , Amir H. Banihashemi

As both computer vision models and biomedical datasets grow in size, there is an increasing need for efficient inference algorithms. We utilize cascade detectors to efficiently identify sparse objects in multiresolution images. Given an…

计算机视觉与模式识别 · 计算机科学 2025-05-01 Thomas L. Athey , Shashata Sawmya , Nir Shavit

In this letter, we consider the detection of sparse stochastic signals with sensor networks (SNs), where the fusion center (FC) collects 1-bit data from the local sensors and then performs global detection. For this problem, a newly…

信号处理 · 电气工程与系统科学 2019-11-06 Chengxi Li , You He , Xueqian Wang , Gang Li , Pramod K. Varshney

In this paper, based on a successively accuracy-increasing approximation of the $\ell_0$ norm, we propose a new algorithm for recovery of sparse vectors from underdetermined measurements. The approximations are realized with a certain class…

This paper addresses the classical problem of one-bit compressed sensing using a deep learning-based reconstruction algorithm that leverages a trained generative model to enhance the signal reconstruction performance. The generator, a…

机器学习 · 计算机科学 2025-02-19 Swatantra Kafle , Geethu Joseph , Pramod K. Varshney

The need of reconstructing discrete-valued sparse signals from few measurements, that is solving an undetermined system of linear equations, appears frequently in science and engineering. Whereas classical compressed sensing algorithms do…

最优化与控制 · 数学 2016-09-30 Sandra Keiper , Gitta Kutyniok , Dae Gwan Lee , Götz E. Pfander

In this paper, motivated by network inference and tomography applications, we study the problem of compressive sensing for sparse signal vectors over graphs. In particular, we are interested in recovering sparse vectors representing the…

信息论 · 计算机科学 2010-08-06 Weiyu Xu , Enrique Mallada , Ao Tang