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Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

信息论 · 计算机科学 2008-05-06 Thomas Blumensath , Mike E. Davies

This work focuses on the reconstruction of sparse signals from their 1-bit measurements. The context is the one of 1-bit compressive sensing where the measurements amount to quantizing (dithered) random projections. Our main contribution…

信号处理 · 电气工程与系统科学 2020-08-25 Thomas Feuillen , Mike Davies , Luc Vandendorpe , Laurent Jacques

In frequency-division duplexing (FDD) massive multiple-input multiple-output (MIMO) systems, 1-bit compressed sensing (CS)-based superimposed channel state information (CSI) feedback has shown many advantages, while still faces many…

信息论 · 计算机科学 2022-05-04 Chaojin Qing , Qing Ye , Bin Cai , Wenhui Liu , Jiafan Wang

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

信息论 · 计算机科学 2014-02-25 Yuli Sun , Jinxu Tao

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

信息论 · 计算机科学 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Sparse signal recovery algorithms like sparse Bayesian learning work well but the complexity quickly grows when tackling higher dimensional parametric dictionaries. In this work we propose a novel Bayesian strategy to address the two…

信号处理 · 电气工程与系统科学 2021-02-18 Rohan R. Pote , Bhaskar D. Rao

Diffusion models (DMs) have demonstrated to be powerful priors for signal recovery, but their application to 1-bit quantization tasks, such as 1-bit compressed sensing and logistic regression, remains a challenge. This difficulty stems from…

机器学习 · 计算机科学 2026-01-13 Youming Chen , Zhaoqiang Liu

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

The problem of super-resolution compressive sensing (SR-CS) is crucial for various wireless sensing and communication applications. Existing methods often suffer from limited resolution capabilities and sensitivity to hyper-parameters,…

信号处理 · 电气工程与系统科学 2025-08-12 Yufan Zhou , Jingyi Li , Wenkang Xu , An Liu

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

信息论 · 计算机科学 2015-07-03 Yipeng Liu

Compressed sensing has been employed to reduce the pilot overhead for channel estimation in wireless communication systems. Particularly, structured turbo compressed sensing (STCS) provides a generic framework for structured sparse signal…

信息论 · 计算机科学 2018-11-09 Xiaoyan Kuai , Lei Chen , Xiaojun Yuan , An Liu

Compressed sensing (CS) and 1-bit CS cannot directly recover quantized signals and require time consuming recovery. In this paper, we introduce \textit{Hamming compressed sensing} (HCS) that directly recovers a k-bit quantized signal of…

信息论 · 计算机科学 2011-10-11 Tianyi Zhou , Dacheng Tao

This paper considers the problem of estimating the sparse mmWave massive multiple input - multiple output (MIMO) OFDM channel from one-bit quantized measurements. Unlike previous grid-based one-bit compressive sensing approaches, we present…

信号处理 · 电气工程与系统科学 2019-11-18 Mahdi Eskandari , Hamidreza Bakhshi

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

信息论 · 计算机科学 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. This paper studies a $K \times N$ partial Fourier measurement matrix for compressed sensing which is deterministically…

信息论 · 计算机科学 2010-12-30 Nam Yul Yu

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

信息论 · 计算机科学 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Due to the ever increasing data rate demand of beyond 5G networks and considering the wide range of Orthogonal Frequency Division Multipllexing (OFDM) technique in cellular systems, it is critical to reduce pilot overhead of OFDM systems in…

信息论 · 计算机科学 2023-05-05 Mohammad Hossein Bahonar , Reza Ghaderi Zefreh , Rouhollah Amiri

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

Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional (2D) variant of compressed sensing…

量子物理 · 物理学 2012-07-17 J. N. Sanders , S. Mostame , S. K. Saikin , X. Andrade , J. R. Widom , A. H. Marcus , A. Aspuru-Guzik