Support Vector Machines (SVM) are a good candidate for the solution of antenna array processing problems such as beamforming, estimation of angle of arrival or Ultra-Wide Band (UWB) electromagnetic design, because these algorithms provide superior performance in generalization ability and computational complexity. In this work we revise some applications of the SVM for antenna array processing and for target detection in UWB sea surface surveillance radar return profiles
The first presented approach is based on the use of linear and nonlinear regressor schemes applied to antenna array processing, in particular to beamforming. The last one is related to the application of nonlinear multiclass Support Vector classification applied to radar object detection. Comparisons with conventional strategies and simulation results are provided to demonstrate the advantages of the Support Vector Machine approaches
Since the 1990s there has been a significant activity in the theoretical development and applications of SVM. The first applications of machine learning have been related to data mining, text categorization, and other classical pattern recognition tasks. Recently, however, SVM have been applied to signal processing3, wireless communication problems, notably spread spectrum receiver design and channel equalization.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
V. Vapnik, Statistical Learning Theory, Adaptive and Learning Systems for Signal Processing, Communications, and Control, John Wiley & Sons, 1998.
M. Martínez-Ramón, C. Christodoulou, Support Vector Machines for Antenna Array Processing and Electromagnetics, Morgan & Claypool Publishers, CO, USA, 2006.
G. Camps-Valls, J. L. Rojo-Álvarez and M. Martínez-Ramón (Eds.), Kernel Methods in Bioengineering, Communications and Image Processing”, Idea Group, PA, USA, 2006.
A. Smola and B. Schoelkopf, “A tutorial on support vector regression,” NeuroCOLT, Technical Report NC-TR-98-030, Royal Holloway College, University of London, UK,1988.
A. Smola, B. Schoelkopf, and K. R. Mueller, “General cost functions for support vector regression,” in Proceedings of the Ninth Australian Conference on Neural Networks, Brisbane, Australia, 1998, pp. 79-83.
J. L. Rojo-Álvarez, G. Camps-Valls, M. Martínez-Ramón, A. Navia-Vazquez, A. R. Figueiras-Vidal, “Support Vector Machines Framework for Linear Signal Processing”, Signal Processing, Vol 85, No 12, pp. 2316-2326 , 2005.
M. Martínez-Ramón, C. G. Christodoulou, “Support Vector Array Processing”, Antenas and Propagation Society Internacional Symposium, July9-14,2006, Albuquerque, NM, USA.
P. J. Huber, Robust Statistics: a review, vol. 43, Ann. Statistics, 1972.
J. Platt, Advances in Kernel Methods: Support Vector Learning (B. Schoelkopf, C. J. C. Burgues and A. J. Smola, Eds.), chapter Fast Training of Support Vector Machines Using Sequential Minimal Optimization, pp. 185-208, MIT Press, 1999.
M. A. Aizerman, É. M. Braverman, and L. I. Rozonoér, “Theoretical foundations of the potential function method in pattern recognition learning,” Automation and Remote,Control, vol. 25, pp. 821-837, 1964.
J. Capon, “High Resolution Frequency-Wavenumber Spectrum Analysis”, Proceedings of the IEEE, Vol. 57, No. 8, pp. 1408-1418, Aug, 1969.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Martínez-Ramón, M., Xu, N., Christodoulou, C.G. (2007). Antenna Array Processing for Radar Applications with Support Vector Machines. In: Baum, C.E., Stone, A.P., Tyo, J.S. (eds) Ultra-Wideband Short-Pulse Electromagnetics 8. Springer, New York, NY. https://doi.org/10.1007/978-0-387-73046-2_20
Download citation
DOI: https://doi.org/10.1007/978-0-387-73046-2_20
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-73045-5
Online ISBN: 978-0-387-73046-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)