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We consider the problem of high-dimensional misspecified phase retrieval. This is where we have an $s$-sparse signal vector $\mathbf{x}_*$ in $\mathbb{R}^n$, which we wish to recover using sampling vectors…

信息论 · 计算机科学 2017-12-14 Yan Shuo Tan

The constrained $\ell_p^p/\ell_q^p$ ratio model is scale invariant and is therefore attractive for sparse signal recovery. However, its nonconvex, nonsmooth, and fractional structure makes a unified theoretical and algorithmic analysis…

最优化与控制 · 数学 2026-05-26 Lang Yu , Nan-jing Huang

The Unlimited Sensing Framework (USF) is a digital acquisition protocol that allows for sampling and reconstruction of high dynamic range signals. By acquiring modulo samples, the USF circumvents the clipping or saturation problem that is a…

信息论 · 计算机科学 2022-07-28 Ayush Bhandari

Fast-flying aerial robots promise rapid inspection under limited battery constraints, with direct applications in infrastructure inspection, terrain exploration, and search and rescue. However, high speeds lead to severe motion blur in…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Rong Zou , Marco Cannici , Davide Scaramuzza

It has been found that radar returns of extended targets are not only sparse but also exhibit a tendency to cluster into randomly located, variable sized groups. However, the standard techniques of Compressive Sensing as applied in radar…

信息论 · 计算机科学 2014-11-17 Sanghamitra Dutta , Arijit De

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

Spectrum cartography aims at estimating power propagation patterns over a geographical region across multiple frequency bands (i.e., a radio map)---from limited samples taken sparsely over the region. Classic cartography methods are mostly…

信号处理 · 电气工程与系统科学 2020-10-28 Guoyong Zhang , Xiao Fu , Jun Wang , Xi-Le Zhao , Mingyi Hong

The problem of imaging extended targets (sources or scatterers) is formulated in the framework of compressed sensing with emphasis on subwavelength resolution. The proposed formulation of the problems of inverse source/scattering is…

光学 · 物理学 2009-09-15 Albert C. Fannjiang

Radar automatic target recognition (RATR) based on high-resolution range profile (HRRP) has attracted increasing attention due to its ability to capture fine-grained structural features. However, recognizing targets under electronic…

信号处理 · 电气工程与系统科学 2025-12-05 Guozheng Sun , Lei Wang , Yanhao Wang , Jie Wang , Yimin Liu

A new approach is proposed, namely CSSF MIMO radar, which applies the technique of step frequency (SF) to compressive sensing (CS) based multi-input multi-output (MIMO) radar. The proposed approach enables high resolution range, angle and…

信息论 · 计算机科学 2015-03-17 Yao Yu , Athina P. Petropulu , H. Vincent Poor

We consider high dimensional sparse regression, and develop strategies able to deal with arbitrary -- possibly, severe or coordinated -- errors in the covariance matrix $X$. These may come from corrupted data, persistent experimental…

机器学习 · 统计学 2013-01-15 Yudong Chen , Constantine Caramanis , Shie Mannor

The main function of depth completion is to compensate for an insufficient and unpredictable number of sparse depth measurements of hardware sensors. However, existing research on depth completion assumes that the sparsity -- the number of…

计算机视觉与模式识别 · 计算机科学 2024-05-01 Jinyoung Jun , Jae-Han Lee , Chang-Su Kim

In this paper the problem of blind super-resolution of sparse signals using arbitrary sampling scheme and atomic lift is discussed. After comprehensive description on blind superresolution problem, it is shown that using Prolate Spheroidal…

信号处理 · 电气工程与系统科学 2019-07-09 Hoomaan Hezaveh , Milad Javadzadeh , MohammadHossein Kahaei

In this paper, dynamic non-cooperative coexistence between a cognitive pulsed radar and a nearby communications system is addressed by applying nonlinear value function approximation via deep reinforcement learning (Deep RL) to develop a…

信号处理 · 电气工程与系统科学 2020-08-28 Charles E. Thornton , Mark A. Kozy , R. Michael Buehrer , Anthony F. Martone , Kelly D. Sherbondy

The recovery of block-sparse signals with unknown structural patterns remains a fundamental challenge in structured sparse signal reconstruction. By proposing a variance transformation framework, this paper unifies existing pattern-based…

最优化与控制 · 数学 2026-04-13 Yanhao Zhang , Zhihan Zhu , Yong Xia

Finite-rate-of-innovation (FRI) signals are ubiquitous in applications such as radar, ultrasound, and time of flight imaging. Due to their finite degrees of freedom, FRI signals can be sampled at sub-Nyquist rates using appropriate sampling…

信号处理 · 电气工程与系统科学 2021-07-02 Satish Mulleti , Haiyang Zhang , Yonina C. Eldar

In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

信息论 · 计算机科学 2011-11-18 Onur Oktay , Götz Pfander , Pavel Zheltov

Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their…

信号处理 · 电气工程与系统科学 2026-02-19 Longxin Bai , Jingchao Zhang , Liyan Qiao

Phase retrieval, a nonlinear problem prevalent in imaging applications, has been extensively studied using random models, some of which with i.i.d. sensing matrix components. While these models offer robust reconstruction guarantees, they…

光学 · 物理学 2024-09-10 Zhiyuan Hu , Julián Tachella , Michael Unser , Jonathan Dong

In this paper, we introduce a computational framework for recovering a high-resolution approximation of an unknown function from its low-resolution indirect measurements as well as high-resolution training observations by merging the…

统计理论 · 数学 2021-10-15 Milana Gataric