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This letter presents a comparison of exact probability density function with the Gaussian noise approximation in optically pre-amplified DPSK receivers with optical Mach-Zehnder interferometer demodulation (MZI) and balanced detection,…

Optics · Physics 2007-05-23 Xiupu Zhang , Zhenqian Qu , Guodong Zhang , Guangxue Yang

Given a quantum system $S$ entangled with another system $I$, the entanglement testing problem arises, prompting the identification of the system $S$ within a set of $m \ge 2$ identical systems. This scenario serves as a model for the…

Quantum Physics · Physics 2023-12-27 Pengcheng Liao , Quntao Zhuang

Power network and generators state estimation are usually tackled as separate problems. We propose a dynamic scheme for the simultaneous estimation of the network and the generator states. The estimation is formulated as an optimization…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Milos Katanic , John Lygeros , Gabriela Hug

Photon-number squeezing and correlations enable measurement of absorption with an accuracy exceeding that of the shot-noise limit. However, sub-shot noise imaging and sensing based on these methods require high detection efficiency, which…

Quantum Physics · Physics 2019-03-06 E. Knyazev , F. Ya. Khalili , M. V. Chekhova

Effective resource allocation in sensor networks, IoT systems, and distributed computing is essential for applications such as environmental monitoring, surveillance, and smart infrastructure. Sensors or agents must optimize their resource…

Machine Learning · Computer Science 2024-09-26 Yu-Zhen Janice Chen , Daniel S. Menasché , Don Towsley

Linear optical quantum circuits with photon number resolving (PNR) detectors are used for both Gaussian Boson Sampling (GBS) and for the preparation of non-Gaussian states such as Gottesman-Kitaev-Preskill (GKP), cat and NOON states. They…

Quantum Physics · Physics 2023-08-30 Robbe De Prins , Yuan Yao , Anuj Apte , Filippo M. Miatto

We consider a statistical problem of detection of a signal with unknown energy in a multi-channel system, observed in a Gaussian noise. We assume that the signal can appear in the $k$-th channel with a known small prior probability…

Statistics Theory · Mathematics 2017-12-19 Evgeny Burnaev , Georgy Golubev

To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the Gauss--Newton method. But the nonconvexity of the…

Optimization and Control · Mathematics 2025-04-01 Iven Guzel , Richard Y. Zhang

Image compression and denoising represent fundamental challenges in image processing with many real-world applications. To address practical demands, current solutions can be categorized into two main strategies: 1) sequential method; and…

Image and Video Processing · Electrical Eng. & Systems 2024-03-27 Shilv Cai , Xiaoguo Liang , Shuning Cao , Luxin Yan , Sheng Zhong , Liqun Chen , Xu Zou

This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

Methodology · Statistics 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

- Both Lidars and Radars are sensors for obstacle detection. While Lidars are very accurate on obstacles positions and less accurate on their velocities, Radars are more precise on obstacles velocities and less precise on their positions.…

Robotics · Computer Science 2019-07-02 Hatem Hajri , Mohamed-Cherif Rahal

A power constrained sensor network that consists of multiple sensor nodes and a fusion center (FC) is considered, where the goal is to estimate a random parameter of interest. In contrast to the distributed framework, the sensor nodes may…

Information Theory · Computer Science 2012-07-03 Swarnendu Kar , Pramod K. Varshney

We show that the gradient estimates used in training Deep Gaussian Processes (DGPs) with importance-weighted variational inference are susceptible to signal-to-noise ratio (SNR) issues. Specifically, we show both theoretically and via an…

Machine Learning · Statistics 2021-07-22 Tim G. J. Rudner , Oscar Key , Yarin Gal , Tom Rainforth

We obtain analytical approximations for the expectation and variance of the Spectral Kurtosis estimator in the case of Gaussian and coherent transient time domain signals mixed with a quasi-stationary Gaussian background, which are suitable…

Instrumentation and Methods for Astrophysics · Physics 2016-03-23 Gelu M. Nita

The signal-to-noise ratio (SNR) is a fundamental tool to measure the performance of an image sensor. However, confusions sometimes arise between the two types of SNRs. The first one is the output-referred SNR which measures the ratio…

Image and Video Processing · Electrical Eng. & Systems 2022-06-14 Abhiram Gnanasambandam , Stanley H. Chan

Distributed estimation in the context of sensor networks is considered, where distributed agents are given a set of sensor measurements, and are tasked with estimating a target variable. A subset of sensors are assumed to be faulty. The…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Marian Temprana Alonso , Farhad Shirani , S. Sitharama Iyengar

This paper proposes a joint multi-objective optimization framework for strategic sensor placement in power systems to enhance attack detection. A novel physics-informed graph transformer network (PIGTN)-based detection model is proposed.…

Neural and Evolutionary Computing · Computer Science 2026-03-03 Mariam Elnour , Mohammad AlShaikh Saleh , Rachad Atat , Xiang Huo , Abdulrahman Takiddin , Muhammad Ismail , Hasan Kurban , Katherine R. Davis , Erchin Serpedin

High-precision measurements require optimal setups and analysis tools to achieve continuous improvements. Systematic corrections need to be modeled with high accuracy and known uncertainty to reconstruct underlying physical phenomena. To…

Data Analysis, Statistics and Probability · Physics 2022-05-31 Max Lamparth , Mattis Bestehorn , Bastian Märkisch

This work investigates the parameter estimation performance of super-resolution line spectral estimation using atomic norm minimization. The focus is on analyzing the algorithm's accuracy of inferring the frequencies and complex magnitudes…

Information Theory · Computer Science 2018-10-24 Qiuwei Li , Gongguo Tang

Efficient and accurate state estimation is essential for the optimal management of the future smart grid. However, to meet the requirements of deploying the future grid at a large scale, the state estimation algorithm must be able to…

Information Theory · Computer Science 2017-09-29 Jung-Chieh Chen , Hwei-Ming Chung , Chao-Kai Wen , Wen-Tai Li , Jen-Hao Teng