Abstract
In this paper, we consider the problem of direction-of-arrival (DOA) estimation for code-division multiple access (CDMA) signals in the presence of sensor position errors. For array calibration with sensor position errors, the estimation of the source directions and unknown array parameters is essential. The cost function is an extension of the maximum likelihood (ML) criteria that was originally developed for DOA estimation with a perfectly calibrated array. It is shown that the ML function is a complicated nonlinear multimodal function over a high-dimensional problem space. A modified particle swarm optimization (PSO) is proposed to compute the ML functions and find the global minimum cost function for array calibration. This proposed method has no requirement for calibration sources while the sensor position errors as well as the DOA of the incident signals can be estimated at the same time. Simulation results show that the proposed estimator has better performance over other popular methods.
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References
Caffery, J.J., Stuber, G.L.: Overview of radiolocation in CDMA cellular networks. IEEE Communications Magazine 36(4), 38–45 (1998)
Schmidt, R.O.: Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas and Propagation 34(3), 276–280 (1986)
Chiang, C.T., Chang, A.C.: DOA estimation in the asynchronous DS-CDMA system. IEEE Trans. Antennas and Propagation 51(1), 40–47 (2003)
Swindlehurst, A.L., Kailath, T.: A performance analysis of subspace-based methods in the presence of model errors-Part I: The MUSIC algorithm. IEEE Trans. Signal Process. 40(7), 1758–1774 (1992)
Ng, B.C., Samson See, C.M.: Sensor-array calibration using a maximum-likelihood approach. IEEE Trans. Antennas Propagation 44(6), 827–835 (1996)
Hong, J.S.: Genetic approach to bearing estimation with sensor location uncertainties. Electronic Letters 29, 2013–2014 (1993)
Zhang, M., Zhu, Z.D.: Array shape calibration using sources in known locations. In: Proc. of the IEEE National Aerospace and Electronics Conference, NAECO, pp. 67–69 (1993)
Weiss, A.J., Friedlander, B.: Array shape calibration using eigenstructure methods. Signal Processing 22(3), 251–258 (1991)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: IEEE International Conference on Neural Networks, Path, Australia, pp. 1942–1948. IEEE Service Center, Piscataway (1995)
Shi, Y., Eberhart, R.: A modified particle swarm optimizer. In: IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, pp. 69–73 (1998)
Shi, Y., Eberhart, R.: Comparing inertia weights and constriction factors in particle swarm optimization. In: Proc. of the Congress on Evolutionary Computation, Piscataway, vol. 1, pp. 84–88 (2000)
Liao, B., Liao, G., Wen, J.: Array calibration with sensor position errors using particle swarm optimization algorithm. In: 2009 IET International Radar Conference, pp. 1–3 (2009)
Li, M., Lu, Y.: Maximum likelihood DOA estimation in unknown colored noise fields. IEEE Trans. Aerospace and Electronic Systems 44(3), 1079–1090 (2008)
Li, M., Lu, Y.: Source bearing and steering-vector estimation using partially calibrated arrays. IEEE Trans. Aerospace and Electronic Systems 45(4), 1361–1372 (2009)
Chang, J.C.: DOA estimation for local scattered CDMA signals by particle swarm optimization. Sensors 12, 3228–3242 (2012)
Ziskind, I., Wax, M.: Maximum likelihood localization of multiple sources by alternating projection. IEEE Trans. Acoustics, Speech and Signal Processing 36(10), 1553–1560 (1988)
Shi, Y., Eberhart, R.C.: Empirical study of particle swarm optimization. In: Proc. of the Congress on Evolutionary Computation, vol. 3, pp. 1945–1950 (1999)
Haykin, S.: Communication Systems, 4th edn. John Wiley & Sons, New York (2001)
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Chang, JC., Chen, CY. (2013). Maximum Likelihood DOA Estimation with Sensor Position Perturbation Using Particle Swarm Optimization. In: Chang, RS., Jain, L., Peng, SL. (eds) Advances in Intelligent Systems and Applications - Volume 1. Smart Innovation, Systems and Technologies, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35452-6_21
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DOI: https://doi.org/10.1007/978-3-642-35452-6_21
Publisher Name: Springer, Berlin, Heidelberg
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