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Direction–of–Arrival Estimation in Nonuniform Noise Fields: A Frisch Scheme Approach

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Advances in Systems Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 240))

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Abstract

This paper proposes a two-step identification procedure for the direction-of-arrival estimation problem in the presence of nonuniform white noise. The first step consists in estimating the unknown sensor noise variances by exploiting the properties of the Frisch scheme. Once that the noise covariance matrix has been identified, the angles of arrival are computed by using the classical ESPRIT algorithm. The effectiveness of the whole procedure is tested by means of Monte Carlo simulations.

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References

  1. Schmidt, R.O.: Multiple emitter location and signal parameter estimation. IEEE Transactions on Antennas and Propagation 34, 276–280 (1986)

    Article  Google Scholar 

  2. Bresler, Y., Macovski, A.: Exact maximum likelihood parameter estimation of superimposed exponential signals in noise. IEEE Transactions on Acoustics, Speech and Signal Processing 34, 1081–1089 (1986)

    Article  Google Scholar 

  3. Stoica, P., Nehorai, A.: MUSIC, maximum-likelihood and Cramer-Rao bound. IEEE Transactions on Acoustics, Speech and Signal Processing 37, 720–741 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  4. Roy, R., Kailath, T.: ESPRIT–Estimation of signal parameters via rotational invariance techniques. IEEE Transactions on Acoustics, Speech and Signal Processing 37, 984–995 (1989)

    Article  Google Scholar 

  5. Wax, M., Ziskind, I.: On unique localization of multiple sources by passive sensor arrays. IEEE Transactions on Acoustics, Speech and Signal Processing 37, 996–1000 (1989)

    Article  Google Scholar 

  6. Stoica, P., Nehorai, A.: Performance study of conditional and unconditional direction-of-arrival estimation. IEEE Transactions on Acoustics, Speech and Signal Processing 38, 1783–1795 (1990)

    Article  MATH  Google Scholar 

  7. Gershman, A.B., Matveyev, A.L., Böhme, J.F.: Maximum likelihood estimation of signal power in sensor array in the presence of unknown noise field. IEE Proceedings Radar, Sonar and Navigation 142, 218–224 (1995)

    Article  Google Scholar 

  8. Pesavento, M., Gershman, A.B.: Maximum-likelihood direction-of-arrival estimation in the presence of unknown nonuniform noise. IEEE Transactions on Signal Processing 49, 1310–1324 (2001)

    Article  Google Scholar 

  9. Chen, C.-E., Lorenzelli, F., Hudson, R.E., Yao, K.: Stochastic maximum-likelihood DOA estimation in the presence of unknown nonuniform noise. IEEE Transactions on Signal Processing 56, 3038–3044 (2008)

    Article  MathSciNet  Google Scholar 

  10. Guidorzi, R., Diversi, R., Soverini, U.: The Frisch scheme in algebraic and dynamic identification problems. Kybernetika 44, 585–616 (2008)

    MATH  MathSciNet  Google Scholar 

  11. Beghelli, S., Guidorzi, R., Soverini, U.: The Frisch scheme in dynamic system identification. Automatica 26, 171–176 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  12. Guidorzi, R.: Certain models from uncertain data: the algebraic case. Systems & Control Letters 17, 415–424 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  13. Guidorzi, R.: Identification of the maximal number of linear relations from noisy data. Systems & Control Letters 24, 159–166 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  14. Kalman, R.E.: Nine lectures on identification. LNEMS. Springer, Berlin

    Google Scholar 

  15. Schachermayer, W., Deistler, M.: The set of observationally equivalent errors–in–variables models. Systems & Control Letters 34, 101–104 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  16. Guidorzi, R., Pierantoni, M.: A new parametrization of Frisch scheme solutions. In: Proc. of the XII Int. Conf. on Systems Science, Wroclaw, Poland, pp. 114–120 (1995)

    Google Scholar 

  17. Soverini, U., Beghelli, S.: Identification of static errors–in–variables models: the rank reducibility problem. Automatica 37, 1079–1084 (2001)

    Article  MATH  Google Scholar 

  18. Stoica, P., Moses, R.: Introduction to Spectral Analysis. Prentice Hall, Upper Saddle River (1997)

    MATH  Google Scholar 

  19. Van Huffel, S., Vandewalle, J.: The Total Least Squares Problem: Computational Aspects and Analysis. SIAM, Philadelphia (1991)

    Book  MATH  Google Scholar 

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Correspondence to Roberto Diversi .

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Diversi, R., Guidorzi, R., Soverini, U. (2014). Direction–of–Arrival Estimation in Nonuniform Noise Fields: A Frisch Scheme Approach. In: Swiątek, J., Grzech, A., Swiątek, P., Tomczak, J. (eds) Advances in Systems Science. Advances in Intelligent Systems and Computing, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-01857-7_73

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  • DOI: https://doi.org/10.1007/978-3-319-01857-7_73

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01856-0

  • Online ISBN: 978-3-319-01857-7

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