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Mechanical vibration monitoring often requires high sampling rates and generates large data volumes, posing challenges for storage, transmission, and power efficiency. Compressive Sensing (CS) offers a promising approach to overcome these…

信号处理 · 电气工程与系统科学 2026-03-27 Imen Tounsi , Fadi Karkafi , Mohammed El Badaoui , François Guillet

A major challenge to implement the compressed sensing method for channel state information (CSI) acquisition lies in the design of a well-performed measurement matrix to reduce the dimension of sparse channel vectors. The widely adopted…

信息论 · 计算机科学 2020-07-14 Pengxia Wu , Zichuan Liu , Julian Cheng

We propose a new scheme for the robust estimation of the millimeter wave (mmWave) channel. Our approach is based on a sparse formulation of the channel estimation problem coupled with a frame theoretic representation of the sensing…

信号处理 · 电气工程与系统科学 2019-04-09 Razvan-Andrei Stoica , Giuseppe Thadeu Freitas de Abreu , Hiroki Iimori

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

信息论 · 计算机科学 2016-11-24 Kezhi Li , Shuang Cong

In this paper, we consider channel estimation for intelligent reflecting surface (IRS)-assisted millimeter wave (mmWave) systems, where an IRS is deployed to assist the data transmission from the base station (BS) to a user. It is shown…

信号处理 · 电气工程与系统科学 2020-07-15 Peilan Wang , Jun Fang , Huiping Duan , Hongbin Li

Compressed Sensing aims to capture attributes of a sparse signal using very few measurements. Cand\`{e}s and Tao showed that sparse reconstruction is possible if the sensing matrix acts as a near isometry on all $\boldsymbol{k}$-sparse…

信息论 · 计算机科学 2009-10-18 Robert Calderbank , Stephen Howard , Sina Jafarpour

Efficient algorithms for the sparse solution of under-determined linear systems $Ax = b$ are known for matrices $A$ satisfying suitable assumptions like the restricted isometry property (RIP). Without such assumptions little is known and…

机器学习 · 计算机科学 2021-01-22 G. Welper

Hybrid massive MIMO structures with lower hardware complexity and power consumption have been considered as a potential candidate for millimeter wave (mmWave) communications. Channel covariance information can be used for designing…

信号处理 · 电气工程与系统科学 2019-06-25 Rui Hu , Jun Tong , Jiangtao Xi , Qinghua Guo , Yanguang Yu

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

信息论 · 计算机科学 2014-02-04 Yuejie Chi

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

信息论 · 计算机科学 2016-11-17 Namrata Vaswani

Compressed sensing is the art of reconstructing a sparse vector from its inner products with respect to a small set of randomly chosen measurement vectors. It is usually assumed that the ensemble of measurement vectors is in isotropic…

信息论 · 计算机科学 2014-02-25 Richard Kueng , David Gross

The expicit restricted isometry property (RIP) measurement matrices are needed in practical application of compressed sensing in signal processing. RIP matrices from Reed-Solomon codes, BCH codes, orthogonal codes, expander graphs have been…

信息论 · 计算机科学 2015-06-15 Liqing Xu , Hao Chen

In this paper, {the goal is to design deterministic sampling patterns on the sphere and the rotation group} and, thereby, construct sensing matrices for sparse recovery of band-limited functions. It is first shown that random sensing…

信息论 · 计算机科学 2020-04-22 Arya Bangun , Arash Behboodi , Rudolf Mathar

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 the area of near-field millimeter-wave imaging, the generalized sparse array synthesis (SAS) method is in great demand. The traditional methods usually employ the greedy algorithms, which may have the convergence problem. This paper…

信号处理 · 电气工程与系统科学 2022-08-10 Shuoguang Wang , Shiyong Li , Ahmad Hoorfar , Ke Miao , Guoqiang Zhao , Houjun Sun

The fields of compressed sensing (CS) and matrix completion have shown that high-dimensional signals with sparse or low-rank structure can be effectively projected into a low-dimensional space (for efficient acquisition or processing) when…

信息论 · 计算机科学 2013-05-16 Han Lun Yap , Michael B. Wakin , Christopher J. Rozell

The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity. The…

最优化与控制 · 数学 2018-12-31 Jan Kuske , Stefania Petra

In Compressive Sensing, the Restricted Isometry Property (RIP) ensures that robust recovery of sparse vectors is possible from noisy, undersampled measurements via computationally tractable algorithms. It is by now well-known that Gaussian…

信息论 · 计算机科学 2014-02-17 Armin Eftekhari , Han Lun Yap , Christopher J. Rozell , Michael B. Wakin

The article concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by $\ell_1$ norm minimization - a sparse quaternion signal from a limited number of its real linear…

泛函分析 · 数学 2016-05-26 Agnieszka Badenska , Łukasz Błaszczyk

The paper studies the problem of recovering a spectrally sparse object from a small number of time domain samples. Specifically, the object of interest with ambient dimension $n$ is assumed to be a mixture of $r$ complex multi-dimensional…

信息论 · 计算机科学 2015-01-06 Yuxin Chen , Yuejie Chi