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In this paper, we solve the optimal target detection problem employing the thoughts and methodologies of Shannon's information theory. Introducing a target state variable into a general radar system model, an equivalent detection channel is…

Information Theory · Computer Science 2024-01-05 Dazhuan Xu , Nan Wang , Han Zhang , Xiaolong Kong

The minimum error entropy (MEE) criterion has been successfully used in fields such as parameter estimation, system identification and the supervised machine learning. There is in general no explicit expression for the optimal MEE estimate…

Information Theory · Computer Science 2015-04-14 Badong Chen , Guangmin Wang , Nanning Zheng , Jose C. Principe

In this paper, the general radar measurement probfilems of determining range, Doppler frequency and scatteringproperties parameters are investigated from the viewpoint of Shannons information theory. We adopt the mutual information to…

Signal Processing · Electrical Eng. & Systems 2020-11-02 Chao Shi , Dazhuan Xu , Ying Zhou , Weilin Tu

In this paper, we derive the information theoretic performance bounds on communication data rates and errors in parameter estimation, for a joint radar and communication (JRC) system. We assume that targets are semi-passive, i.e. they use…

Information Theory · Computer Science 2021-07-08 Ganesan Thiagarajan , Sanjeev Gurugopinath

Target parameter estimation performance is investigated for a radar employing a set of widely separated transmitting and receiving antenna arrays. Cases with multiple extended targets are considered under two signal model assumptions:…

Information Theory · Computer Science 2018-08-02 Peter Khomchuk , Igal Bilik , Rick S. Blum

This paper proposes a joint detection and estimation (JDE) scheme based on mutual information for the radar work, whose goal is to choose the true one between target existent and target absence, and to estimate the unknown distance…

Information Theory · Computer Science 2022-01-13 Nan Wang , Dazhuan Xu

In nonlinear deterministic parameter estimation, the maximum likelihood estimator (MLE) is unable to attain the Cramer-Rao lower bound at low and medium signal-to-noise ratios (SNR) due the threshold and ambiguity phenomena. In order to…

Applications · Statistics 2015-06-19 Achraf Mallat , Sinan Gezici , Davide Dardari , Christophe Craeye , Luc Vandendorpe

Range profiling refers to the measurement of target response along the radar slant range. It plays an important role in automatic target recognition. In this paper, we consider the design of transmit waveform to improve the range profiling…

Signal Processing · Electrical Eng. & Systems 2021-03-19 Bo Tang , Jun Liu , Hai Wang , Yihua Hu

A passive radar system uses one or more so-called Illuminators of Opportunity (IO) to detect and localize targets. In such systems, a reference channel is often used at each receiving node to capture the transmitted IO signal, while targets…

Signal Processing · Electrical Eng. & Systems 2026-03-18 Mats Viberg , Daniele Gerosa , Tomas McKelvey , Thomas Eriksson

A performance of the pseudo-random method for the radar detection is analyzed. The radar sends a pseudo-random sequence of length $N$, and receives echo from $r$ targets. We assume the natural assumptions of uniformity on the channel and of…

Information Theory · Computer Science 2016-11-17 Alexander Fish , Shamgar Gurevich

We consider the minimum error entropy (MEE) criterion and an empirical risk minimization learning algorithm in a regression setting. A learning theory approach is presented for this MEE algorithm and explicit error bounds are provided in…

Machine Learning · Computer Science 2013-02-26 Ting Hu , Jun Fan , Qiang Wu , Ding-Xuan Zhou

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most…

Quantum Physics · Physics 2010-01-28 Garry Goldstein , Mikhail D. Lukin , Paola Cappellaro

The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

Statistics Theory · Mathematics 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar

A cognitive radar adapts the transmit waveform in response to changes in the radar and target environment. In this work, we analyze the recently proposed sub-Nyquist cognitive radar wherein the total transmit power in a multi-band cognitive…

Information Theory · Computer Science 2017-01-17 Kumar Vijay Mishra , Yonina C. Eldar

This paper deals with parameter estimation from extreme measurements. While being a special case of parameter estimation from partial data, in scenarios where only one sample from a given set of K measurements can be extracted, choosing…

Signal Processing · Electrical Eng. & Systems 2018-09-25 Jonatan Ostrometzky , Hagit Messer

Using ideas from Chu and Bode/Fano theories, we characterize the maximum achievable rate over the single-input single-output wireless communication channels under a restriction on the antenna size at the receiver. By employing…

Information Theory · Computer Science 2021-07-19 Volodymyr Shyianov , Mohamed Akrout , Faouzi Bellili , Amine Mezghani , Robert W. Heath

We investigate cooperative radar and communications signaling. Each system typically considers the other system a source of interference. Consequently, the traditional solution is to isolate the two systems spectrally or spatially. By…

Information Theory · Computer Science 2014-09-25 Alex R. Chiriyath , Bryan Paul , Daniel W. Bliss

We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cram\'er-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of…

Optics · Physics 2013-10-31 Shan Zheng Ang , Glen I. Harris , Warwick P. Bowen , Mankei Tsang

The minimum error entropy (MEE) criterion has been verified as a powerful approach for non-Gaussian signal processing and robust machine learning. However, the implementation of MEE on robust classification is rather a vacancy in the…

Machine Learning · Computer Science 2025-08-07 Yuanhao Li , Badong Chen , Natsue Yoshimura , Yasuharu Koike

In this paper have written the results of the information analysis of structures. The obtained information estimation (IE) are based on an entropy measure of C. Shannon. Obtained IE is univalent both for the non-isomorphic and for the…

Information Theory · Computer Science 2007-07-16 Alexander Shaydurov
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