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Joint Voltage and Phase Unbalance Detector for Three Phase Power Systems
2013
IEEE Signal Processing Letters
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We first obtain an approximate maximum likelihood estimate (MLE) of the system frequency and then use it to substitute the true unknown frequency in the GLRT. ...
We first obtain an approximate maximum likelihood estimate (MLE) of the system frequency and then use it to substitute the true unknown frequency in the GLRT. ...
: The exact detection performance of a GLRT for a classical linear problem is given in [9] by (16) where denotes the right-tail probability for a chi-squared random variable with degrees of freedom ...
doi:10.1109/lsp.2012.2226717
fatcat:ganfzxc35rcahlwdnzc3oom7x4
Adaptive subspace detectors
2001
IEEE Transactions on Signal Processing
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In this paper, we use the theory of generalized likelihood ratio tests (GLRTs) to adapt the matched subspace detectors (MSDs) of [1] and [2] to unknown noise covariance matrices. ...
matched filter, the nonadaptive cosine or -statistic, and three other statistically independent random variables that account for the performance-degrading effects of limited training data. ...
Reed, which encouraged them to clarify the significance of arbitrary scaling between test and training data. ...
doi:10.1109/78.890324
fatcat:sevcj5oj7bbafefmxrv6xohkum
A SIRV-CFAR adaptive detector exploiting persymmetric clutter covariance structure
2008
2008 IEEE Radar Conference
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In many applications, it is possible to assume a particular structure for the clutter covariance matrix: this is the case for instance for active systems using a symmetrically spaced linear array or pulse ...
This paper deals with covariance matrix estimation for radar detection in non-Gaussian noise modeled by Spherically Invariant Random Vector (SIRV). ...
-with the square root of a positive random variable -called texture [ 2] , [3] . ...
doi:10.1109/radar.2008.4720921
fatcat:hclbw3mvpfg6bnpp4hex2so44a
Persymmetric Adaptive Radar Detectors
2011
IEEE Transactions on Aerospace and Electronic Systems
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This matrix commonly exhibits a particular structure: for instance, this is the case for active systems using a symmetrically spaced linear array with constant pulse repetition interval. ...
In this context, this work provides two new adaptive detectors for Gaussian additive noise and non-Gaussian additive noise which is modeled by the spherically invariant random vector (SIRV). ...
random variables. ...
doi:10.1109/taes.2011.6034639
fatcat:sj6nh5tt6jakrntyluuifiopqm
Locally Most Powerful Invariant Tests for Correlation and Sphericity of Gaussian Vectors
2013
IEEE Transactions on Information Theory
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is given by the Frobenius norm of a normalized version of the sample covariance matrix. ...
In this paper we study the existence of locally most powerful invariant tests (LMPIT) for the problem of testing the covariance structure of a set of Gaussian random vectors. ...
He is currently serving as a member of the Machine Learning for Signal Processing Technical Committee of the IEEE Signal Processing Society. ...
doi:10.1109/tit.2012.2232705
fatcat:hb3w7gk2yja3pn3xy5r7gltaoi
MIMO Radar Detection in Non-Gaussian and Heterogeneous Clutter
2010
IEEE Journal on Selected Topics in Signal Processing
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The GLRT-LQ detector has been derived based on the Spherically Invariant Random Vector (SIRV) model and is constant false alarm rate (CFAR) with respect to the clutter power fluctuations (also known as ...
The new MIMO detector is then shown to be texture-CFAR as well. The theoretical performance of this new detector is first analytically derived and then validated using Monte Carlo simulations. ...
According to [26] , the GLRT-LQ detector can be expressed in terms of an -statistics where is a centralized F-distributed random variable with parameters and . ...
doi:10.1109/jstsp.2009.2038980
fatcat:yuh6kvzp5jcfncgutw3kqpbema
Page 2102 of Mathematical Reviews Vol. , Issue 86e
[page]
1986
Mathematical Reviews
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This paper develops a new test for the assessment of the joint hypothesis of normality and homoscedasticity concerning
k (k > 2) random variables (r.v.’s) with unknown parameters. ...
Several applications are treated,
especially one to the random effects model for n varieties with r
replications. ...
Moving Target Detection Using Distributed MIMO Radar in Clutter With Nonhomogeneous Power
2011
IEEE Transactions on Signal Processing
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The GLRT is shown to be a constant false alarm rate (CFAR) detector, and the test statistic is a central and noncentral Beta variable under the null and alternative hypotheses, respectively. ...
To account for these issues, a new nonhomogeneous clutter model, where the clutter resides in a low-rank subspace with different subspace coefficients (and hence different clutter power) for different ...
Proof of Theorem 1 Under Similar to the case of and from Lemma 2, the GLRT test variable (18) Also from Lemma 2, is the ratio of a central Chi-square random variable with degrees of freedom to a non-central ...
doi:10.1109/tsp.2011.2160861
fatcat:24hbtkjjbbddbk4wtdxqfzqfdi
Fractional QCQP With Applications in ML Steering Direction Estimation for Radar Detection
2011
IEEE Transactions on Signal Processing
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In order to solve it, we first relax the problem into a constrained fractional semidefinite programming (SDP) problem which is shown equivalent, via the Charnes-Cooper transformation, to an SDP problem ...
This paper deals with the problem of estimating the steering direction of a signal, embedded in Gaussian disturbance, under a general quadratic inequality constraint, representing the uncertainty region ...
ACKNOWLEDGMENT The authors thank the Associate Editor and the Reviewers for their constructive comments toward the improvement of the original submitted paper. U ...
doi:10.1109/tsp.2010.2087327
fatcat:w6e4niuus5fpbhd7kfu6aqjtla
Additive Watermark Detectors Based on a New Hierarchical Spatially Adaptive Image Model
2007
2007 IEEE International Conference on Image Processing
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Based on this model we derive a class of detectors for the additive watermark detection problem, including the generalized likelihood ratio test (GLRT) and Rao detectors. ...
In this paper we propose a new family of watermark detectors for additive watermarks in digital images. ...
For this purpose we model ( ) k a i as random variables, and define a hyper-prior on them. ...
doi:10.1109/icip.2007.4379865
dblp:conf/icip/MairgiotisGY07
fatcat:ffmodxxpmrdnrm2l4c6ogmi6ca
Asymptotic regime for impropriety tests of complex random vectors
[article]
2020
arXiv
pre-print
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This characterization in the asymptotic regime allows also to identify a phase transition in Roy's test with potential application in detection of complex-valued low-rank subspace corrupted by proper noise ...
Limiting distributions for these statistics are derived, together with those of the Generalized Likelihood Ratio Test (GLRT) and Roy's test, in the Gaussian case. ...
Our contribution is thus a way to overcome this and to provide new insights on the impropriety problem. ...
arXiv:1904.12810v3
fatcat:xupqoqmbvbh5phutr3z7gtkll4
Detection of random transient signals via hyperparameter estimation
1999
IEEE Transactions on Signal Processing
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parameters, it is possible to obtain a new formulation of the GLRT that avoids enumeration and is computationally feasible. ...
The performance of this new approach appears to be competitive with that of a scheme of emerging acceptance: the "power-law" detector. RI. ...
Statistically, this amounts to unit-exponential random variables under or unit-exponentials and exponentials with increased scale parameter under . 3 All random variables are assumed independent, and ...
doi:10.1109/78.771032
fatcat:s5bbuhrpmvefhozdb4of56kvra
An Asymptotically Equivalent GLRT Test for Distributed Detection in Wireless Sensor Networks
[article]
2023
arXiv
pre-print
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Furthermore, the GLRT-like algorithm has a low computational complexity and demands low communication resources, as compared to the GLRT. ...
We model the radio source as a stochastic signal and deal with spatially statistically dependent measurements, whose probability density function (PDF) has unknown positive parameters when the radio source ...
Then, the first term of (23) converges in distribution to a normal random variable (c.f. ( 26 )). Second, we have that [52, App . 7B] 1 L B(z 1:L ) → i(0) = (M + 2)I N in probability, as L → ∞. ...
arXiv:2304.14898v1
fatcat:wbxnynnay5gmfkvl54bztb4cnm
Detection by Time Reversal: Single Antenna
2007
IEEE Transactions on Signal Processing
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In time reversal, the backscatter of a signal transmitted into a scattering environment is recorded, delayed, energy normalized, and retransmitted through the medium. ...
Experiments with real-world electromagnetic data for two channels (free space with a target immersed in 20 scatterers and a duct channel) confirm the analytical results and show that time reversal detection ...
ACKNOWLEDGMENT The authors thank Prof. D. Stancil, Prof. J. Zhu, A. Cepni, Y. Jiang and B. Henty for the discussions held and for providing the electromagnetic data for channels I and II. ...
doi:10.1109/tsp.2006.882114
fatcat:u5qvhs4terhofcsisymzsiwiwe
Matched subspace detectors
1994
IEEE Transactions on Signal Processing
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This means that the GLR test (GLRT) is the uniformly most powerful invariant detector. ...
In each case, the GLR is a maximal invariant statistic, and the distribution of the maximal invariant statistic is monotone. ...
This makes D a t-distributed random variable with parameters (1, Nt -1) and noncentrality parameter A. ...
doi:10.1109/78.301849
fatcat:zdxy6nevc5cm3oqmp5pt2ssnse
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