One-vs-One Multiclass Least Squares Support Vector Machines for Direction of Arrival Estimation

Authors

  • Judd A. Rohwer Sandia National Laboratories, P.O. Box 5800 MS-0986, Albuquerque, NM, 87185-0986
  • Chaouki T. Abdallah Department of Electrical and Computer Engineering, MSC01 1100 University of New Mexico, Albuquerque, NM, 87131-001

Keywords:

One-vs-One Multiclass Least Squares Support Vector Machines for Direction of Arrival Estimation

Abstract

This paper presents a multiclass, multilabel implementation of Least Squares Support Vector Machines (LSSVM) for DOA estimation in a CDMA system. For any estimation or classification system the algorithm’s capabilities and performance must be evaluated. This paper includes a vast ensemble of data supporting the machine learning based DOA estimation algorithm. Accurate performance characterization of the algorithm is required to justify the results and prove that multiclass machine learning methods can be successfully applied to wireless communication problems. The learning algorithm presented in this paper includes steps for generating statistics on the multiclass evaluation path. The error statistics provide a confidence level of the classification accuracy.

Downloads

Download data is not yet available.

References

J.C. Liberti, Jr. and T.S. Rappaport, Smart Antennas for Wireless

Communications: IS-95 and Third Generation CDMA Applications,

Prentice Hall, Upper Saddle River, NJ, 1999.

J.H. Winters, “Signal Acquisition and Tracking with Adaptive Arrays

in the Digital Mobile Radio System IS-54 with Flat Fading,” IEEE

Transactions on Vehicular Technology, Vol. 42, No. 4, 377-384,

November 1993.

Z. Raida, “Steering an Adaptive Antenna Array by the Simplified

Kalman Filter,” IEEE Transactions on Antennas and Propagation, Vol.

, No. 6, 627-629, June 1995.

A.H. El Zooghby, C.G. Christodoulou, and M. Georgiopoulos, “A

Neural Network-Based Smart Antenna For Multiple Source Tracking”,

IEEE Transactions On Antennas and Propagation, vol. 48, no. 5, pp.

-776, May 2000

A.H. El Zooghby, C.G. Christodoulou, and M. Georgiopoulos, “Per-

formance of Radial-Basis Function Networks for Direction of Arrival

Estimation with Antenna Arrays”, IEEE Transactions On Antennas

and Propagation, vol. 45, no. 11, pp. 1611-1617, November 1997

Ahmed H. El Zooghby, Christos G. Christodoulou, and Michael

Georgiopoulos, “Neural Network-Based Adaptive Beamforming for

One- and Two- Dimensional Antenna Arrays”, IEEE Transactions On

Antennas and Propagation, vol. 46, no. 12, pp. 1891-1893, December

Richard O. Duda, Perter E. Hart, and David G. Stork, Pattern Classi-

fication, Second Edition John Wiley & Sons, New York, NY, 2001.

F. Rashid-Farrokhi, L. Tassiulas, K.J. Ray Liu, “Joint Optimum

Power Control and Beamforming in Wireless Networks Using Antenna

Arrays”, IEEE Transactions On Communications, vol. 46, no. 10, pp.

-1324, October 1998.

D.J. Sebald and J.A. Bucklew, “Support Vector Machine Techniques

for Nonlinear Equalization”, IEEE Transactions On Signal Processing,

vol. 48, no. 11, pp. 3217-3226, November 2000.

N. Cristianini and J. Shawe-Taylor, An Introduction to Support Vector

Machines , Cambridge University Press, New York, 2000.

J.A.K. Suykens, “Support Vector Machines: A Nonlinear Modelling

and Control Perspective”, European Journal of Control, vol 7, pp. 311-

, 2001

J.C. Platt, N.Christianini, and J. Shawe-Taylor, “Large Margin DAGs

for Multiclass Classification”, in Advances in Neural Information

Processing Systems, vol. 12, pp. 547-553, Cambridge, MA, MIT Press,

J.A.K. Suykens, L. Lukas, P. Van Dooren, B. DeMoor, and J. Van-

dewalle, “Least Squares Support Vector Machine Classifiers: a Large

Scale Algorithm”, ECCTD’99 European Conf. on Circuit Theory and

Design, pp. 839-842, August 1999.

J.A.K. Suykens, T. Van Gestel, J. De Brabanter, B. De Moor, and J.

Vandewalle, Least Squares Support Vector Machines World Scientific,

New Jersey, 2002.

R.O. Schmidt, “Multiple Emitter Location and Signal Parameter Esti-

mation”, IEEE Transactions on Antennas and Propagation, AP-34, pp.

-280, March 1986.

R.H. Roy, and T. Kailath, “ESPRIT-Estimation of Signal Parameters

Via Rotational Invariance Techniques”, IEEE Transactions On Acous-

tics, Speech, and Signal Processing, vol. 37, no. 7, pp. 984-995, July

B. Yang, “Projection Approximation Subspace Tracking”, IEEE Trans-

actions on Signal Processing, vol. 43, no. 1, pp. 95-107, January 1995.

G. Guo, S.Z. Li, and K.L. Chan, “Support Vector Machines for Face

Recognition”, Image and Vision Computing, vol 19, pp. 631-638,

Downloads

Published

2022-06-18

How to Cite

[1]
J. A. . Rohwer and C. T. . Abdallah, “One-vs-One Multiclass Least Squares Support Vector Machines for Direction of Arrival Estimation”, ACES Journal, vol. 18, no. 2, pp. 34–45, Jun. 2022.

Issue

Section

General Submission