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Spectrum resources are facing huge demands and cognitive radio (CR) can improve the spectrum utilization. Recently, power spectral density (PSD) map is defined to enable the CR to reuse the frequency resources regarding to the area. For…

信息论 · 计算机科学 2016-12-12 Mohammad Eslami , Farah Torkamani-Azar , Esfandiar Mehrshahi

Compressed sensing (CS) is a powerful method routinely employed to accelerate image acquisition. It is particularly suited to situations when the image under consideration is sparse but can be sampled in a basis where it is non-sparse. Here…

图像与视频处理 · 电气工程与系统科学 2022-07-18 Xudong Lv , Ashok Ajoy

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

应用统计 · 统计学 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

信息论 · 计算机科学 2014-10-24 Zai Yang , Lihua Xie

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

信息论 · 计算机科学 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

数值分析 · 数学 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

Compressed sensing (CS) schemes are proposed for monostatic as well as synthetic aperture radar (SAR) imaging with chirped signals and Ultra-Narrowband (UNB) continuous waveforms. In particular, a simple, perturbation method is developed to…

数据分析、统计与概率 · 物理学 2015-06-11 Albert Fannjiang , Hsiao-Chieh Tseng

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

We consider the problem of estimating the frequency components of a mixture of s complex sinusoids from a random subset of n regularly spaced samples. Unlike previous work in compressed sensing, the frequencies are not assumed to lie on a…

信息论 · 计算机科学 2013-07-12 Gongguo Tang , Badri Narayan Bhaskar , Parikshit Shah , Benjamin Recht

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

The investigation of the effects of sparsity or sparsity constraints in signal processing problems has received considerable attention recently. Sparsity constraints refer to the a priori information that the object or signal of interest…

统计理论 · 数学 2013-11-25 Alexander Jung

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

信息论 · 计算机科学 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi

A pre-trained generator has been frequently adopted in compressed sensing (CS) due to its ability to effectively estimate signals with the prior of NNs. In order to further refine the NN-based prior, we propose a framework that allows the…

机器学习 · 计算机科学 2020-11-03 Kyung-Su Kim , Jung Hyun Lee , Eunho Yang

Phase modulation is a commonly used modulation mode in digital communication, which usually brings phase sparsity to digital signals. It is naturally to connect the sparsity with the newly emerged theory of compressed sensing (CS), which…

信息论 · 计算机科学 2015-01-05 Zhengli Xing , Jie Zhou , Jiangfeng Ye , Jun Yan , Lin Zou , Qun Wan

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

信息论 · 计算机科学 2010-01-26 Galen Reeves , Michael Gastpar

Compressive sensing is a signal acquisition framework based on the revelation that a small collection of linear projections of a sparse signal contains enough information for stable recovery. In this paper we introduce a new theory for…

信息论 · 计算机科学 2009-01-23 Dror Baron , Marco F. Duarte , Michael B. Wakin , Shriram Sarvotham , Richard G. Baraniuk

Compressed sensing (sparse signal recovery) has been a popular and important research topic in recent years. By observing that natural signals are often nonnegative, we propose a new framework for nonnegative signal recovery using…

统计方法学 · 统计学 2013-10-04 Ping Li , Cun-Hui Zhang , Tong Zhang

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

信息论 · 计算机科学 2013-11-01 Ankit Kundu , Pradosh K. Roy

Compressive Sensing (CS) is a new technique for the efficient acquisition of signals, images, and other data that have a sparse representation in some basis, frame, or dictionary. By sparse we mean that the N-dimensional basis…

信息论 · 计算机科学 2015-05-18 Chinmay Hegde , Richard G. Baraniuk

We provide two novel adaptive-rate compressive sensing (CS) strategies for sparse, time-varying signals using side information. Our first method utilizes extra cross-validation measurements, and the second one exploits extra low-resolution…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Garrett Warnell , Sourabh Bhattacharya , Rama Chellappa , Tamer Basar