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This paper is devoted to the study of the performance of the Linear Minimum Mean-Square Error receiver for (receive) correlated Multiple-Input Multiple-Output systems. By the random matrix theory, it is well-known that the Signal-to-Noise…

Information Theory · Computer Science 2008-10-17 Abla Kammoun , Malika Kharouf , Walid Hachem , Jamal Najim

The development of new techniques to improve measurements is crucial for all sciences. By employing quantum systems as sensors to probe some physical property of interest allows the application of quantum resources, such as coherent…

Quantum Physics · Physics 2019-05-15 G. H. Aguilar , M. A. de Souza , R. M. Gomes , J. Thompson , M. Gu , L. C. Céleri , S. P. Walborn

This paper investigates the decentralized detection of Hidden Markov Processes using the Neyman-Pearson test. We consider a network formed by a large number of distributed sensors. Sensors' observations are noisy snapshots of a Markov…

Information Theory · Computer Science 2015-03-13 Joffrey Villard , Pascal Bianchi , Eric Moulines , Pablo Piantanida

Cross-correlation heterodyne detectors exhibit the potential for suppression of the detection quantum noise below shot noise without use of optical squeezing for capturing weak optical signals in low frequency bands. To understand the…

Quantum Physics · Physics 2022-11-09 Sheng Feng , Kaikai Wu

In the preceding paper [Warszawski and Wiseman] we presented a general formalism for determining the state of a quantum system conditional on the output of a realistic detector, including effects such as a finite bandwidth and electronic…

Quantum Physics · Physics 2009-11-07 P. Warszawski , H. M. Wiseman

Quantum sensors hold considerable promise for precision measurement, yet their capabilities are inherently constrained by environmental noise. A fundamental task in quantum sensing is determining the precision limit of noisy sensor devices.…

Quantum Physics · Physics 2026-04-14 Dayou Yang , Moulik Ketkar , Koenraad Audenaert , Susana F. Huelga , Martin B. Plenio

The detection and discrimination of quantum states serve a crucial role in quantum signal processing, a discipline that studies methods and techniques to process signals that obey the quantum mechanics frameworks. However, just like…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Yinan Hu , Quanyan Zhu

In the Gaussian sequence model $Y=\mu+\xi$, we study the likelihood ratio test (LRT) for testing $H_0: \mu=\mu_0$ versus $H_1: \mu \in K$, where $\mu_0 \in K$, and $K$ is a closed convex set in $\mathbb{R}^n$. In particular, we show that…

Statistics Theory · Mathematics 2021-06-22 Qiyang Han , Bodhisattva Sen , Yandi Shen

We present a maximum likelihood (ML) algorithm that is fast enough to detect gamma-ray transients in real time on low-performance processors often used for space applications. We validate the routine with simulations and find that, relative…

High Energy Astrophysical Phenomena · Physics 2023-08-09 Matthew Kerr , Wade Duvall , Neil Johnson , Richard Woolf , J. Eric Grove , Hannah Kim

In quantum metrology, one of the major applications of quantum technologies, the ultimate precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao bound. Yet, the latter is no longer guaranteed to carry an…

Quantum resources, such as entanglement, can decrease the uncertainty of a parameter-estimation procedure beyond what is classically possible. This phenomenon is well described for noiseless systems with asymptotically many measurement…

Quantum Physics · Physics 2021-08-09 Jason Saunders , Jean-Francois Van Huele

In natural language processing (NLP), the likelihood ratios (LRs) of N-grams are often estimated from the frequency information. However, a corpus contains only a fraction of the possible N-grams, and most of them occur infrequently. Hence,…

Computation and Language · Computer Science 2022-04-15 Masato Kikuchi , Mitsuo Yoshida , Kyoji Umemura , Tadachika Ozono

Quantum illumination has been proposed and demonstrated to improve the signal-to-noise ratio (SNR) in light detection and ranging (LiDAR). When relying on coincidence detection, such a quantum LiDAR is limited by the response time of the…

Quantum Physics · Physics 2023-08-02 Gewei Qian , Xingqi Xu , Shun-An Zhu , Chenran Xu , Fei Gao , V. V. Yakovlev , Xu Liu , Shi-Yao Zhu , Da-Wei Wang

The paper addresses the problem of designing radar detectors more robust than Kelly's detector to possible mismatches of the assumed target signature, but with no performance degradation under matched conditions. The idea is to model the…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Angelo Coluccia , Giuseppe Ricci , Olivier Besson

As radar systems will be equipped with thousands of antenna elements and wide bandwidth, the associated costs and power consumption become exceedingly high, and a potential solution is to adopt low-resolution quantization technology, which…

Signal Processing · Electrical Eng. & Systems 2024-08-06 Jiang Zhu , Hansheng Zhang , Ning Zhang , Jun Fang , Fengzhong Qu

The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some homeland security applications. The…

Statistics Theory · Mathematics 2015-05-28 Xiaolei Xun , Bani Mallick , Raymond J. Carroll , Peter Kuchment

In this paper, we devise adaptive decision schemes to detect targets competing against clutter and smart noise-like jammers (NLJ) which illuminate the radar system from the sidelobes. Specifically, the considered class of NLJs generates a…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Pia Addabbo , Olivier Besson , Danilo Orlando , Giuseppe Ricci

This paper deals with joint adaptive radar detection and target bearing estimation in the presence of mutual coupling among the array elements. First of all, a suitable model of the signal received by the multichannel radar is developed via…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Augusto Aubry , Antonio De Maio , Lan Lan , Massimo Rosamilia

Electromagnetic remote sensing technologies such as radar can be mislead by targets that generate spoof pulses. Typically, a would-be spoofer must make measurements to characterize a received pulse in order to design a convincing spoof…

Quantum Physics · Physics 2024-03-07 Jonathan N. Blakely , Shawn D. Pethel , Kurt Jacobs

We investigate the potential of quickest detection based on the eigenvalues of the sample covariance matrix for spectrum sensing applications. A simple phase shift keying (PSK) model with additive white Gaussian noise (AWGN), with $1$…

Information Theory · Computer Science 2015-10-14 Martijn Arts , Andreas Bollig , Rudolf Mathar