2013
DOI: 10.1186/1687-6180-2013-44
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Radar detection with the Neyman–Pearson criterion using supervised-learning-machines trained with the cross-entropy error

Abstract: The application of supervised learning machines trained to minimize the Cross-Entropy error to radar detection is explored in this article. The detector is implemented with a learning machine that implements a discriminant function, which output is compared to a threshold selected to fix a desired probability of false alarm. The study is based on the calculation of the function the learning machine approximates to during training, and the application of a sufficient condition for a discriminant function to be … Show more

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Cited by 28 publications
(16 citation statements)
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References 42 publications
(57 reference statements)
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“…In these papers, learning machines trained in a supervised manner using a suitable loss function are proved to approximate the NP detector. As a representative example, in [12], a neural network is trained to implement a radar detector assuming unknown statistical models for the radar channel using supervised learning. In such case, a conventional NP detector is intractable, since the likelihood ratio cannot be computed.…”
Section: Introductionmentioning
confidence: 99%
“…In these papers, learning machines trained in a supervised manner using a suitable loss function are proved to approximate the NP detector. As a representative example, in [12], a neural network is trained to implement a radar detector assuming unknown statistical models for the radar channel using supervised learning. In such case, a conventional NP detector is intractable, since the likelihood ratio cannot be computed.…”
Section: Introductionmentioning
confidence: 99%
“…Note that the number of samples used during the adaptation phase could be much smaller than that used during the offline training phase. The standard cross-entropy [9] is adopted as the loss function for the receiver. For any dataset D 0 = z (q) ∼ p(z|H i (q) ), i (q) ∈ {0, 1} Q0 q=1 containing Q 0 pairs of received signal z and target state indicator i, the empirical cross-entropy loss is a function of the trainable parameter vector φ, and is given by…”
Section: Two-stage Design Of Fast Adaptive Receivermentioning
confidence: 99%
“…Deep learning has been successfully applied in a variety of fields to solve problems for which reliable mathematical models are unavailable or too complex to yield feasible optimal solutions [8]. In the radar field, deep learning-based approaches have been proposed for implementing NP detectors [9]. These approaches rely on the assumption that the training and the actual operating environments have similar statistical properties.…”
Section: Introductionmentioning
confidence: 99%
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“…If the value in the cell C T exceeds the threshold value T, the comparator declares that an impulse is located in the cell C T . The P f a is chosen to satisfy the Neyman-Pearson theorem for detection [27]…”
Section: Burst Detection Use Enhance Constant Fault Alarm Ratementioning
confidence: 99%