Abstract
We propose a novel strategy to generate initial candidate solutions for bio-inspired algorithms applied to the direction of arrival estimation problem. The idea, which aims to improve the efficiency of the estimator, consists in using the frequency response of a well-known optimum noise reduction filter as the probability density function of the set of candidate solutions. In accordance to this approach, we also employ a modified likelihood function to reduce the estimation error. Simulation results considering an immune-inspired algorithm confirm a significant improvement of its performance and efficiency, and the new estimator reaches the conditional Cramér–Rao lower bound.
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References
L. Boccato, R. Krummenauer, R. Attux, A. Lopes, Application of natural computing algorithms to maximum likelihood estimation of direction of arrival. Signal Process. 92(5), 1338–1352 (2012)
L.N. de Castro, F.J. Von Zuben, Learning and optimization using the clonal selection principle. IEEE Trans. Evol. Comput. 6(3), 239–251 (2002)
A. Gershman, P. Stoica, MODE with extra-roots (MODEX): a new DOA estimation algorithm with an improved threshold performance, in IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, vol. 5, (1999), pp. 2833–2836
R. Krummenauer, M. Cazarotto, A. Lopes, P. Larzabal, P. Forster, Improving the threshold performance of maximum likelihood estimation of direction of arrival. Signal Process. 90(5), 1582–1590 (2010)
P. Larrañaga, J.A. Lozano, Estimation of Distribution Algorithms: a New Tool for Evolutionary Computation. Genetic Algorithms and Evolutionary Computation. (Kluwer Academic, Norwell, 2002)
A. Lopes, I.S. Bonatti, P.L.D. Peres, C.A. Alves, Improving the MODEX algorithm for direction estimation. Signal Process. 83(9), 2047–2051 (2003). doi:10.1016/S0165-1684(03)00146-4
K.C. Sharman, G.D. McGlurkin, Genetic algorithms for maximum likelihood parameter estimation, in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, (1989), pp. 2716–2719
P. Stoica, A.B. Gershman, Maximum-likelihood DOA estimation by data-supported grid search, in IEEE Signal Processing Letters, (1999), pp. 273–275
P. Stoica, A. Nehorai, Performance study of conditional and unconditional direction-of-arrival estimation. IEEE Trans. Acoust. Speech Signal Process. 38(10), 1783–1795 (1990)
P. Stoica, K.C. Sharman, Novel eigenanalysis method for direction estimation, in IEE Proceedings part F (Radar and Signal Processing), vol. 137, (1990)
H.L. Van Trees, Optimum Array Processing. Part IV of Detection, Estimation and Modulation Theory (Wiley, New York, 2001)
D.N. Vizireanu, A fast, simple and accurate time-varying frequency estimation method for single-phase electric power systems. Measurement 45(5), 1331–1333 (2012)
D.N. Vizireanu, S.V. Halunga, Simple, fast and accurate eight points amplitude estimation method of sinusoidal signals for dsp based instrumentation. J. Instrum. (2012). doi:10.1088/1748-0221/7/04/P04001
Acknowledgements
This work was sponsored by CNPq and FAPESP (2008/56937-2, 2010/51027-8), Brazil.
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Appendix
Appendix
In the following, we provide the pseudocode of the algorithm CLONALG, described in Sect. 4.
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Boccato, L., Krummenauer, R., Attux, R. et al. Improving the Efficiency of Natural Computing Algorithms in DOA Estimation Using a Noise Filtering Approach. Circuits Syst Signal Process 32, 1991–2001 (2013). https://doi.org/10.1007/s00034-012-9538-3
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DOI: https://doi.org/10.1007/s00034-012-9538-3