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Showing 1 to 16 of 16 for “"generalized likelihood ratio test"”.
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Optimal Inference for Distributed Detection
… of a given decision strategy, such as a generalized likelihood ratio test, is often difficult or even impossible.</p> <p>In this thesis we develop a novel detection network optimization technique that can be used to determine necessary and sufficient conditions for optimality in …
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Communications over fading channels with partial channel information : performance and design criteria
… the information rates for low signal-to-noise ratio (SNR), and the optimal duty cycle is expressed as a function of the fading rate and SNR. It is demonstrated that the resource allocations and duty cycles developed for Gaussian signals can also be applied to systems using other signaling …
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Computationally efficient Gaussian Process changepoint detection and regression
… online GP framework, GP-NBC, that leverages the generalized likelihood ratio test to detect changepoints and learn multiple Gaussian Process models from streaming data. Furthermore, GP-NBC can quickly recognize and reuse previously seen models. The algorithm is shown to be theoretically sample …
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A Framework for Spectrally Efficient Noncoherent Communication
… noncoherent detection, which may be viewed as a generalized likelihood ratio test (GLRT) for joint channel and data estimation, does not require separate training. The goal of this thesis is to provide a framework for designing spectrally efficient noncoherent communication systems, analogous to …
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Optimal and Suboptimal Signal Detection-On the Relationship Between Estimation and Detection Theory
… consider a general binary and M-ary hypothesis testing problems with unknown parameters. In a hypothesis testing problem, we assume that the probability density function (pdf) of observation is given while some unknown parameters exit in the structure of the pdf and the set of unknowns under …
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Spectrum Sensing in Cognitive Radio Networks
… detection of OFDM signals in low-signal-to-noise-ratio scenario is studied. It is shown that the cyclic prefix correlation coefficient (CPCC)-based spectrum sensing algorithm, which was previously introduced as a simple and computationally efficient spectrum-sensing method for OFDM signals, is a …
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Spectrum sensing, spectrum monitoring, and security in cognitive radios
… In this dissertation, we formulate and solve the generalized likelihood ratio test (GLRT) for spectrum sensing when both primary user transmitter and the secondary user receiver are equipped with multiple antennas. We do not assume any prior information about the channel statistics or the primary …
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Decision-making under statistical uncertainty
… cases. For the problem of universal hypothesis testing, we study tests that improve upon the known optimal solution in two different aspects. Firstly, we study the generalized likelihood ratio test (GLRT) that exploits partial knowledge about the alternate distribution to improve finite-sample …
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Functional regression models in the frame work of reproducing kernel Hilbert space
… linear regression model, the focus is on testing the nullity of the slope function, and a generalized likelihood ratio test based on easily implementable data-driven estimate is proposed. The quality of the test is measured by the minimal distance between the null and the alternative space …
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Chemical identification under a poisson model for Raman spectroscopy
… methods are analyzed for computing the maximum-likelihood (ML) estimates of the mixing coefficients under our data model. The performance of these algorithms is compared against the Cramer-Rao lower bound (CRLB). Next, the Raman detection problem is formulated as one of multiple hypothesis …
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Detection of multiple correlated time series and its application in synthetic aperture sonar imagery
… are needed. This work considers the problem of testing for the independence among multiple (≥ 2) random vectors. The solution is attained by considering a Generalized Likelihood Ratio Test (GLRT) that tests the null hypothesis that the composite covariance matrix of the channels, a matrix …
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Locally optimal detection and randomization defenses against universal adversarial perturbations
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01
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Decision-Making with Heterogeneous Sensors - A Copula Based Approach
… especially in the context of binary hypothesis testing problems. Both, the training-testing paradigm, where a training set is assumed to be available for learning the copula models prior to system deployment, as well as generalized likelihood ratio test (GLRT) based fusion rule for the online …
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Statistical Hypothesis Testing Under Model Uncertainty
Statistical testing is one of the main problems in statistics and finds applications in a number of fields, including engineering, signal processing, medicine, and finance among others. Traditionally in hypothesis testing problem, the hypothesis distributions subject to testing are known. However, …
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Data-efficient quickest change detection
… of the classical single-threshold tests are asymptotically optimal for the proposed formulations. The nature of optimality is strong in the sense that the false alarm rates of the two-threshold tests are at least as good as the false alarm rates of their classical counterparts. …
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Advancements in test security: preventive test assembly methods and change-point detection of compromised items in adaptive testing
Chapter 1: Test security is as longstanding as testing itself. The broad issues are introduced very briefly, then the specific matters pertaining to computerized adaptive testing (CAT) are discussed. The framework of CAT is established in detail, then the vital security concerns of item exposure …