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In this paper, we employ the thoughts and methodologies of Shannon's information theory to solve the problem of the optimal radar parameter estimation. Based on a general radar system model, the \textit{a posteriori} probability density…

Information Theory · Computer Science 2025-09-30 Dazhuan Xu , Han Zhang , Nan Wang

Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage, however, relies on refined data postprocessing, assessed based on the variance of the estimated…

Magnetic resonance microscopy images at cellular resolution (< 10 microns) are limited by diffusion. SNR and spatial resolution suffer from the dephasing of transverse magnetization caused by diffusion of spins in strong gradients. Such…

Quantum information theory sets the ultimate limits for any information-processing task. In rangefinding and LIDAR, the presence or absence of a target can be tested by detecting different states at the receiver. In this Letter, we use…

Quantum Physics · Physics 2022-05-02 Lior Cohen , Mark M. Wilde

We demonstrate a novel approach to obtain resonance linewidth below that limited by coherence lifetime. Cross correlation between induced intensity modulation of two lasers coupling the target resonance exhibits a narrow spectrum. 1/30 of…

Atomic Physics · Physics 2012-12-07 Feng Lei , Pengxiong Li , Liang Jiang , Jianming Wen , Yanhong Xiao

We consider the problem of estimating the spatial separation between two mutually incoherent point light sources using the super-resolution imaging technique based on spatial mode demultiplexing with noisy detectors. We show that in the…

Quantum Physics · Physics 2020-03-26 Yink Loong Len , Chandan Datta , Michał Parniak , Konrad Banaszek

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates and therefore expensive and energy-hungry analogto-digital converters (ADCs). In applications where cost and…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

We aim at investigating the impact of low resolution digital-to-analog converters (DACs) at the transmitter and low resolution analog-to-digital converters (ADCs) at the receiver on the required bandwidth and the required signalto- noise…

Information Theory · Computer Science 2017-06-28 Hela Jedda , Amine Mezghani , Josef A. Nossek

A persistent challenge in astronomical machine learning is a systematic bias where predictions compress the dynamic range of true values-high values are consistently predicted too low while low values are predicted too high. Understanding…

Instrumentation and Methods for Astrophysics · Physics 2025-07-17 Yuan-Sen Ting

Spectrum sharing is a critical strategy for meeting escalating user demands via commercial wireless services, yet its effective regulation and technological enablement, particularly concerning coexistence with incumbent systems, remain…

Networking and Internet Architecture · Computer Science 2025-10-14 Shafi Ullah Khan , Michel Kulhandjian , Debashri Roy

One of the challenges of quantum technologies is realising the quantum advantage, predicted for ideal systems, in real applications, which have to cope with decoherence and inefficiencies. In quantum metrology, sub-shot-noise imaging (SSNI)…

Quantum Physics · Physics 2020-06-18 I. Ruo Berchera , A. Meda , E. Losero , A. Avella , N. Samantaray , M. Genovese

The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk. Such circular Radon transform arises in several contemporary imaging techniques, as…

General Mathematics · Mathematics 2007-05-23 Gaik Ambartsoumian , Peter Kuchment

Mobile communication networks were designed to mainly support ubiquitous wireless communications, yet they are expected to also achieve radio sensing capabilities in the near future. Most prior studies on radar sensing focus on distant…

Signal Processing · Electrical Eng. & Systems 2021-06-11 Huizhi Wang , Yong Zeng

This paper derives a general expression for the Cram\'er-Rao bound (CRB) of wireless localization algorithms using range measurements subject to bias corruption. Specifically, the a priori knowledge about which range measurements are…

Information Theory · Computer Science 2011-11-10 Tao Wang

The range of stimulated Raman scattering (SRS) frequencies covers a domain which at the low end abuts half the laser frequency, omega_0 / 2, according to the simplest SRS theories, corresponding to scatter from electron densities near 1/4…

Plasma Physics · Physics 2015-05-20 Harvey A. Rose , Philippe Mounaix

Many components used in signal processing and communication applications, such as power amplifiers and analog-to-digital converters, are nonlinear and have a finite dynamic range. The nonlinearity associated with these devices distorts the…

Information Theory · Computer Science 2014-10-29 Kai Ying , Zhenhua Yu , Robert J. Baxley , G. Tong Zhou

The laws of quantum mechanics allow to perform measurements whose precision supersedes results predicted by classical parameter estimation theory. That is, the precision bound imposed by the central limit theorem in the estimation of a…

We derive the fundamental limit to the resolution of far-field optical imaging, and demonstrate that, while a bound to the resolution of a fundamental nature does exit, contrary to the conventional wisdom it is neither exactly equal to nor…

Optics · Physics 2019-03-14 Evgenii Narimanov

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), then we can transmit a sufficiently "incoherent"…

Numerical Analysis · Mathematics 2015-05-13 Matthew A. Herman , Thomas Strohmer

The stepped-frequency (SF) waveform is an effective way to achieve high range resolution (HRR) in modern radars. In this paper, we determine some fundamental limits of SF waveforms on ambiguity, stability and accuracy of stable targets…

Information Theory · Computer Science 2018-08-29 Yimin Liu , Xiqin Wang , Tianyao Huang