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Sampling a signal below the Shannon-Nyquist rate causes aliasing, meaning different frequencies to become indistinguishable. It is also well-known that recovering spectral information from a signal using a parametric method can be ill-posed…

Numerical Analysis · Mathematics 2018-10-09 Annie Cuyt , Wen-shin Lee

Undersampled images, such as those produced by the HST WFPC-2, misrepresent fine-scale structure intrinsic to the astronomical sources being imaged. Analyzing such images is difficult on scales close to their resolution limits and may…

Astrophysics · Physics 2009-10-31 Tod R. Lauer

Compressive sampling has shown great potential for making wideband spectrum sensing possible at sub-Nyquist sampling rates. As a result, there have recently been research efforts that aimed to develop techniques that leverage compressive…

Networking and Internet Architecture · Computer Science 2018-06-06 Bassem Khalfi , Bechir Hamdaoui , Mohsen Guizani , Nizar Zorba

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

Weak spectral responses in hyperspectral images are often obscured by dominant endmembers and sensor noise, resulting in inaccurate abundance estimation. This paper introduces WS-Net, a deep unmixing framework specifically designed to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Zekun Long , Ali Zia , Guanyiman Fu , Vivien Rolland , Jun Zhou

This paper discusses sample allocation problem (SAP) in frequency-domain Compressive Sampling (CS) of time-domain signals. An analysis that is relied on two fundamental CS principles; the Uniform Random Sampling (URS) and the Uncertainty…

Information Theory · Computer Science 2014-12-22 Andriyan B. Suksmono

Near-field integrated sensing and communication (ISAC) leverages distance-dependent channel variations for joint distance and angle estimation. However, full-digital architectures have prohibitive hardware costs, making hybrid…

Information Theory · Computer Science 2025-12-05 Jiasi Zhou , Chintha Tellambura , Geoffrey Ye Li

With joint learning of sampling and recovery, the deep learning-based compressive sensing (DCS) has shown significant improvement in performance and running time reduction. Its reconstructed image, however, losses high-frequency content…

Computer Vision and Pattern Recognition · Computer Science 2018-09-19 Thuong Nguyen Canh , Byeungwoo Jeon

Visual detection of Micro Air Vehicles (MAVs) has attracted increasing attention in recent years due to its important application in various tasks. The existing methods for MAV detection assume that the training set and testing set have the…

Robotics · Computer Science 2024-03-26 Yin Zhang , Jinhong Deng , Peidong Liu , Wen Li , Shiyu Zhao

The growing scarcity of spectrum resources, wideband spectrum sensing is required to process a prohibitive volume of data at a high sampling rate. For some applications, spectrum estimation only requires second-order statistics. In this…

Signal Processing · Electrical Eng. & Systems 2023-11-27 Kaili Jiang , Dechang Wang , Kailun Tian , Hancong Feng , Yuxin Zhao , Junyu Yuan , Bin Tang

High-bandwidth signals are needed in many applications like radar, sensing, measurement and communications. Especially in optical networks, the sampling rate and analog bandwidth of digital-to-analog converters (DACs) is a bottleneck for…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Mohamed I. Hosni , Janosch Meier , Younus Mandalawi , Karanveer Singh , Paulomi Mandal , Ahmed H. Elghandour , Thomas Schneider

We study the problem of sampling a random signal with sparse support in frequency domain. Shannon famously considered a scheme that instantaneously samples the signal at equispaced times. He proved that the signal can be reconstructed as…

Information Theory · Computer Science 2012-11-22 Adel Javanmard , Andrea Montanari

A bidirectional integrated sensing and communication (ISAC) system is proposed, in which a pair of transceivers carry out two-way communication and mutual sensing. Both full-duplex and half-duplex operations in narrowband and wideband…

Information Theory · Computer Science 2024-01-05 Zhaolin Wang , Xidong Mu , Yuanwei Liu

We survey a new paradigm in signal processing known as "compressive sensing". Contrary to old practices of data acquisition and reconstruction based on the Shannon-Nyquist sampling principle, the new theory shows that it is possible to…

History and Overview · Mathematics 2009-03-13 Olga Holtz

Recently, several array radar structures combined with sub-Nyquist techniques and corresponding algorithms have been extensively studied. Carrier frequency and direction-of-arrival (DOA) estimations of multiple narrow-band signals received…

Signal Processing · Electrical Eng. & Systems 2018-10-29 Zhan Zhang , Ping Wei , Lijuan Deng , Huaguo Zhang

Snapshot mosaic multispectral imagery acquires an undersampled data cube by acquiring a single spectral measurement per spatial pixel. Sensors which acquire $p$ frequencies, therefore, suffer from severe $1/p$ undersampling of the full data…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Giancarlo A. Antonucci , Simon Vary , David Humphreys , Robert A. Lamb , Jonathan Piper , Jared Tanner

We propose several sampling architectures for the efficient acquisition of an ensemble of correlated signals. We show that without prior knowledge of the correlation structure, each of our architectures (under different sets of assumptions)…

Information Theory · Computer Science 2018-01-03 Ali Ahmed , Justin Romberg

This paper investigates total variation minimization in one spatial dimension for the recovery of gradient-sparse signals from undersampled Gaussian measurements. Recently established bounds for the required sampling rate state that uniform…

Information Theory · Computer Science 2022-04-12 Martin Genzel , Maximilian März , Robert Seidel

Analog-to-digital converters (ADCs) allow physical signals to be processed using digital hardware. The power consumed in conversion grows with the sampling rate and quantization resolution, imposing a major challenge in power-limited…

Signal Processing · Electrical Eng. & Systems 2020-07-17 Neha Jain , Nir Shlezinger , Bhawna Tiwari , Yonina C. Eldar , Anubha Gupta , Vivek Ashok Bohara , Pydi Ganga Bahubalindruni

Microwave reflectometry is a non-intrusive plasma diagnostic tool which is widely applied in many fusion devices. In 2014, the microwave reflectometry on Experimental Advanced Superconducting Tokamak (EAST) had been upgraded to measure…

Instrumentation and Detectors · Physics 2016-11-17 Fei Wen , Tao Zhang , Shoubiao Zhang , Defeng Kong , Yuming Wang , Xiang Han , Hao Qu , Xiang Gao