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We propose Matrix ALPS for recovering a sparse plus low-rank decomposition of a matrix given its corrupted and incomplete linear measurements. Our approach is a first-order projected gradient method over non-convex sets, and it exploits a…

信息论 · 计算机科学 2012-06-22 Anastasios Kyrillidis , Volkan Cevher

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

信号处理 · 电气工程与系统科学 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

信息论 · 计算机科学 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

We consider the problem of range-Doppler imaging using one-bit automotive LFMCW1 or PMCW radar that utilizes one-bit ADC sampling with time-varying thresholds at the receiver. The one-bit sampling technique can significantly reduce the cost…

信号处理 · 电气工程与系统科学 2021-07-07 Xiaolei Shang , Jian Li , Petre Stoica

We present a compressive radar design that combines multitone linear frequency modulated (LFM) waveforms in the transmitter with a classical stretch processor and sub-Nyquist sampling in the receiver. The proposed compressive illumination…

信息论 · 计算机科学 2022-04-13 Nithin Sugavanam , Siddharth Baskar , Emre Ertin

A common problem that arises in radar imaging systems, especially those mounted on mobile platforms, is antenna position ambiguity. Approaches to resolve this ambiguity and correct position errors are generally known as radar autofocus.…

计算机视觉与模式识别 · 计算机科学 2018-05-10 Hassan Mansour , Dehong Liu , Ulugbek S. Kamilov , Petros T. Boufounos

This paper introduces a method based on a deep neural network (DNN) that is perfectly capable of processing radar data from extremely thinned radar apertures. The proposed DNN processing can provide both aliasing-free radar imaging and…

信号处理 · 电气工程与系统科学 2023-07-12 Christian Schuessler , Marcel Hoffmann , Martin Vossiek

This paper investigates recovery of an undamped spectrally sparse signal and its spectral components from a set of regularly spaced samples within the framework of spectral compressed sensing and super-resolution. We show that the existing…

信息论 · 计算机科学 2021-01-19 Zai Yang , Xunmeng Wu

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

This paper explores robust recovery of a superposition of $R$ distinct complex exponential functions from a few random Gaussian projections. We assume that the signal of interest is of $2N-1$ dimensional and $R<<2N-1$. This framework covers…

信息论 · 计算机科学 2015-03-11 Jian-Feng Cai , Xiaobo Qu , Weiyu Xu , Gui-Bo Ye

Rotating Synthetic Aperture Radar (ROSAR) can generate a 360$^\circ$ image of its surrounding environment using the collected data from a single moving track. Due to its non-linear track, the Back-Projection Algorithm (BPA) is commonly used…

信号处理 · 电气工程与系统科学 2023-09-18 Wei Zhao , Cai Wen , Quan Yuan , Rong Zheng

This paper considers the design of tunable decision schemes capable of rejecting with high probability mismatched signals embedded in Gaussian interference with unknown covariance matrix. To this end, a sparse recovery technique is…

信号处理 · 电气工程与系统科学 2020-04-29 Sudan Han , Luca Pallotta , Xiaotao Huang , Gaetano Giunta , Danilo Orlando

Many signals are modeled as a superposition of exponential functions in spectroscopy of chemistry, biology and medical imaging. This paper studies the problem of recovering exponential signals from a random subset of samples. We exploit the…

信号处理 · 电气工程与系统科学 2018-10-17 Jiaxi Ying , Jian-Feng Cai , Di Guo , Gongguo Tang , Zhong Chen , Xiaobo Qu

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

One-bit compressive sensing is concerned with the accurate recovery of an underlying sparse signal of interest from its one-bit noisy measurements. The conventional signal recovery approaches for this problem are mainly developed based on…

信号处理 · 电气工程与系统科学 2022-09-23 Yiming Zeng , Shahin Khobahi , Mojtaba Soltanalian

Speckle noise, inherent in synthetic aperture radar (SAR) images, degrades the performance of the various SAR image analysis tasks. Thus, speckle noise reduction is a critical preprocessing step for smoothing homogeneous regions while…

计算机视觉与模式识别 · 计算机科学 2018-01-16 Fatih Nar

Due to challenging applications such as collaborative filtering, the matrix completion problem has been widely studied in the past few years. Different approaches rely on different structure assumptions on the matrix in hand. Here, we focus…

机器学习 · 统计学 2019-10-14 Vincent Cottet , Pierre Alquier

Target parameter estimation in active sensing, and particularly radar signal processing, is a long-standing problem that has been studied extensively. In this paper, we propose a novel approach for target parameter estimation in cases where…

信号处理 · 电气工程与系统科学 2022-08-10 Aria Ameri , Arindam Bose , Jian Li , Mojtaba Soltanalian

Recovery of low-rank matrices has recently seen significant activity in many areas of science and engineering, motivated by recent theoretical results for exact reconstruction guarantees and interesting practical applications. A number of…

机器学习 · 统计学 2011-09-12 S. Derin Babacan , Martin Luessi , Rafael Molina , Aggelos K. Katsaggelos

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

信息论 · 计算机科学 2021-09-21 Elad Romanov , Or Ordentlich