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The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

Information Theory · Computer Science 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

An architecture for hardware realization of a system for sparse signal reconstruction is presented. The threshold based reconstruction method is considered, which is further modified in this paper to reduce the system complexity in order to…

Information Theory · Computer Science 2016-11-29 Irena Orovic , Andjela Draganic , Nedjeljko Lekic , Srdjan Stankovic

We propose an efficient quantum state tomography method inspired by compressed sensing and threshold quantum state tomography that can drastically reduce the number of measurement settings to reconstruct the density matrix of an $N$-qudit…

Quantum Physics · Physics 2025-04-01 Giovanni Garberoglio , Maurizio Dapor , Diego Maragnano , Marco Liscidini , Daniele Binosi

We provide another framework of iterative algorithms based on thresholding, feedback and null space tuning for sparse signal recovery arising in sparse representations and compressed sensing. Several thresholding algorithms with various…

Information Theory · Computer Science 2012-11-13 Shidong Li , Yulong Liu , Tiebin Mi

Nonconvex sparse learning plays an essential role in many areas, such as signal processing and deep network compression. Iterative hard thresholding (IHT) methods are the state-of-the-art for nonconvex sparse learning due to their…

Machine Learning · Computer Science 2021-01-05 Qianqian Tong , Guannan Liang , Tan Zhu , Jinbo Bi

We explore the impact of coarse quantization on matrix completion in the extreme scenario of dithered one-bit sensing, where the matrix entries are compared with time-varying threshold levels. In particular, instead of observing a subset of…

Information Theory · Computer Science 2024-02-16 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

In this paper, we generalize Huber's criterion to multichannel sparse recovery problem of complex-valued measurements where the objective is to find good recovery of jointly sparse unknown signal vectors from the given multiple measurement…

Information Theory · Computer Science 2015-04-17 Esa Ollila

The transition to the High-Luminosity Large Hadron Collider (HL-LHC) presents a computational challenge where particle reconstruction complexity may outpace classical computing resources. While quantum computing offers potential speedups,…

We present a novel scheme allowing for 2D target localization using highly quantized 1-bit measurements from a Frequency Modulated Continuous Wave (FMCW) radar with two receiving antennas. Quantization of radar signals introduces…

Signal Processing · Electrical Eng. & Systems 2018-06-18 Thomas Feuillen , Chunlei Xu , Luc Vandendorpe , Laurent Jacques

Adaptive thresholding methods have proved to yield high SNRs and fast convergence in finding the solution to the Compressed Sensing (CS) problems. Recently, it was observed that the robustness of a class of iterative sparse recovery…

Methodology · Statistics 2016-11-08 Ashkan Esmaeili , Ehsan Asadi , Farokh Marvasti

We consider the problem of recovering a set of correlated signals (e.g., images from different viewpoints) from a few linear measurements per signal. We assume that each sensor in a network acquires a compressed signal in the form of linear…

Networking and Internet Architecture · Computer Science 2015-03-19 Alhussein Fawzi , Tamara Tosic , Pascal Frossard

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by quantization as the product of the unknown parameter and an…

Optimization and Control · Mathematics 2025-10-20 Xingrui Liu , Ying Wang , Yanlong Zhao

Compressive sensing is a signal processing technique that enables the reconstruction of sparse signals from a limited number of measurements, leveraging the signal's inherent sparsity to facilitate efficient recovery. Recent works on the…

Quantum Physics · Physics 2025-01-22 Naveed Naimipour , Collin Frink , Harry Shaw , Haleh Safavi , Mojtaba Soltanalian

For unsupervised data-dependent hashing, the two most important requirements are to preserve similarity in the low-dimensional feature space and to minimize the binary quantization loss. A well-established hashing approach is Iterative…

Computer Vision and Pattern Recognition · Computer Science 2019-11-14 Tuan Hoang , Thanh-Toan Do , Huu Le , Dang-Khoa Le-Tan , Ngai-Man Cheung

In this note, we analyze an iterative soft / hard thresholding algorithm with homotopy continuation for recovering a sparse signal $x^\dag$ from noisy data of a noise level $\epsilon$. Under suitable regularity and sparsity conditions, we…

Numerical Analysis · Mathematics 2017-05-24 Yuling Jiao , Bangti Jin , Xiliang Lu

Sparse signals can be possibly reconstructed by an algorithm which merges a traditional nonlinear optimization method and a certain thresholding technique. Different from existing thresholding methods, a novel thresholding technique…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Nan Meng , Yun-Bin Zhao

Greed is good. However, the tighter you squeeze, the less you have. In this paper, a less greedy algorithm for sparse signal reconstruction in compressive sensing, named orthogonal matching pursuit with thresholding is studied. Using the…

Information Theory · Computer Science 2015-07-03 Mingrui Yang , Frank de Hoog

One-bit compressed sensing (1bCS) is an extreme-quantized signal acquisition method that has been intermittently studied in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per sample (sign…

Information Theory · Computer Science 2021-09-15 Arya Mazumdar , Soumyabrata Pal

We consider a distributed detection problem within a wireless sensor network (WSN), where a substantial number of sensors cooperate to detect the existence of sparse stochastic signals. To achieve a trade-off between detection performance…

Signal Processing · Electrical Eng. & Systems 2024-11-07 Linlin Mao , Shefeng Yan , Zeping Sui , Hongbin Li

We consider the problem of sparse signal reconstruction from noisy one-bit compressed measurements when the receiver has access to side-information (SI). We assume that compressed measurements are corrupted by additive white Gaussian noise…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Swatantra Kafle , Thakshila Wimalajeewa , and Pramod K. Varshney
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