Abstract
SONN and MLP based detection schemes are designed for approximating the Neyman-Pearson, NP, detector for detecting fluctuating targets with unknown Doppler shift in Gaussian interference. The optimum NP detector conveys a complex integral, so sub-optimum approaches based on the Constrained Generalized Likelihood Ratio, CGLR, are proposed as reference solutions. Detectors based on a single MLP, a single SONN, and mixtures of them are studied, and their detection capabilities and computational costs evaluated. Results show that the detector based on a mixture of SONNs is able to approximate the CGLR, outperforming the other proposed solutions, with lower computational cost.
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References
Van Trees, H.L.: Detection, estimation, and modulation theory, vol. 1. Wiley (1968)
Aloisio, V., di Vito, A., Galati, G.: Optimum detection of moderately fluctuating radar targets. IEE Proc. Radar, Sonar and Navigation 141(3), 164–170 (1994)
di Vito, A., Naldi, M.: Robustness of the likelihood ratio detector for moderately fluctuating radar targets. IEE Proceedings on Radar, Sonar and Navigation 146(2), 107–112 (1999)
Nayebi, M.M., Aref, M.R., Bastani, M.H.: Detection of coherent radar signals with unknown Doppler shift. IEE Proc. Radar, Sonar and Navigation 143(2), 73–86 (1996)
Jarabo-Amores, P., Rosa-Zurera, M., Gil-Pita, R., Lopez-Ferreras, F.: Study of Two Error Functions to Approximate the Neyman-Pearson Detector Using Supervised Learning Machines. IEEE Tran. Signal Processing 57(11), 4175–4181 (2009)
Gandhi, P., Ramamurti, V.: Neural networks for signal detection in non-Gaussian noise. IEEE Trans. Signal Process. 45(11), 2846–2851 (1997)
Casasent, D., Chen, X.: Radial Basis Function Neural Network for Nonlineal Fisher Discrimination and Neyman-Pearson Classification. IEEE Trans. Aerosp. Electron. Syst. 16(56), 529–535 (2003)
Mata-Moya, D., Jarabo-Amores, P., Martin de Nicolas-Presa, J.: High Order Neural Network Based Solution for Approximating the Average Likelihood Ratio. In: Proc. of IEEE Statistical Signal Processing Workshop (SSP), pp. 657–660 (2011)
Davenport, M.A., Baraniuk, R.G., Scott, C.D.: Tuning Support Vector Machines for Minimax and Neyman-Pearson Classification. IEEE Tran. Pattern Analysis and Machine Intelligence. 32(10), 1888–1898 (2010)
de la Mata-Moya, D., Jarabo-Amores, P., Vicen-Bueno, R., Rosa-Zurera, M., López-Ferreras, F.: Neural Network Detectors for Composite Hypothesis Tests. In: Corchado, E., Yin, H., Botti, V., Fyfe, C. (eds.) IDEAL 2006. LNCS, vol. 4224, pp. 298–305. Springer, Heidelberg (2006)
Mata-Moya, D., Jarabo-Amores, P., Rosa-Zurera, M., Nieto-Borge, J.C., Lopez-Ferreras, F.: Combining MLPs and RBFNNs to Detect Signals With Unknown Parameters. IEEE Transactions on Instrumentation and Measurement 58(9), 2989–2995 (2009)
Eaves, J.L., Reedy, E.K.: Principles of modern radar. Van Nostrand Reinhold (1987)
Cybenko, G.: Approximation by supeerpositions of a sigmoidal function. Mathematics of Control, Signals and Systems 2, 303–314 (1989)
El-Jaroudi, A., Makhoul, J.: A New Error Criterion for Posterior Probability Estimation With Neural Nets. In: Proc. Int. Conf. on Nerual Networks, IJCNN, pp. 185–192 (1990)
Nguyen, D., Widrow, B.: Improving the Learning Speed of 2-Layer Neural Networks by Choosing Initial Values of the Adaptive Weights. In: Proc. of the Int. Conf. on Nerual Networks, IJCNN, pp. 21–26 (2009)
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Mata-Moya, D., Jarabo-Amores, P., del-Rey-Maestre, N., Bárcena-Humanes, J.L., Martín-de-Nicolás, J. (2013). SONN and MLP Based Solutions for Detecting Fluctuating Targets with Unknown Doppler Shift in Gaussian Interference. In: Rojas, I., Joya, G., Gabestany, J. (eds) Advances in Computational Intelligence. IWANN 2013. Lecture Notes in Computer Science, vol 7902. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38679-4_59
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DOI: https://doi.org/10.1007/978-3-642-38679-4_59
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