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Sökning: LAR1:cth > Viberg Mats 1961 > Refereegranskat > Larzabal P. 0

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  • Ferreol, A., 0, et al. (författare)
  • A New Expression of the Asymptotic Performances of Maximum Likelihood DOA Estimation Method With Modeling Errors
  • 2004
  • Ingår i: Proceeding EURASIP 2004, Vienna, Austria.. - 2219-5491. - 978-3-20000165-7 ; s. 2163-2166
  • Konferensbidrag (refereegranskat)abstract
    • This paper provides a new analytic expression of the RMS (Root Mean Square) error and bias of the Maximum Likelihood (ML) Direction Of Arrival (DOA) estimator in the presence of steering vectors modeling errors. The reference [4] proposes a first order approximation of these performances which is adapted to small modeling errors. In order to take into account larger modeling errors and provide tools for designing experimental set-up, a more accurate and easily usable derivation of these performances is necessary For such an investigation, the DOA estimation errors are written as an hermitean form with a stochastic vector composed by the modeling errors. Finally, a closed form expression between the performances (bias and RMS error) and statistical moments of the model error are deduced from the statistics of the hermitean form. Simulations confirm the theoretical results.
  • Ferreol, A., 0, et al. (författare)
  • Modeling error sensitivity of the MUSIC algorithm conditioned on resolved sources
  • 2008
  • Ingår i: 16th European Signal Processing Conference, EUSIPCO 2008; Lausanne; Switzerland; 25 August 2008 through 29 August 2008. - 22195491.
  • Konferensbidrag (refereegranskat)abstract
    • When the correlation matrix is known, the resolution power of subspace algorithms is infinite. In the presence of modelling errors, even if the correlation matrix is known, sources can no longer be resolved with certainty. Focusing on the MUSIC algorithm [1], the purpose of this work is to provide closed form expression of bias and variance versus the model mismatch (these errors can be different for each source). Un-like previous work, these performance measures are derived conditioned on the success of a certain source resolution test. Among the resolution definitions proposed in [2], we investigate which one is more suitable for our purposes. Numerical results support the theoretical investigations. Our findings are of a great interest for the determination of the necessary antenna calibration accuracy to achieve specifications on the estimator performance.
  • Ferrol, A., et al. (författare)
  • On the resolution probability of MUSIC in presence of modelling errors
  • 2008
  • Ingår i: Signal Processing, IEEE Transactions on, May 2008 (see also Acoustics, Speech, and Signal Processing, IEEE Transactions on). ; 56:5, s. 1945-1953
  • Tidskriftsartikel (refereegranskat)abstract
    • The problem of resolving closely spaced signal sources using an antenna array remains a difficult one, although several estimation methods are available in the literature. When the array correlation matrix is known, the resolution capability of subspace algorithms is infinitely high. However, in the presence of modeling errors the resolution deteriorates, even for a known correlation matrix. In this paper, we analyze the MUSIC method, by way of three different definitions of the resolution. Assuming Gaussian circular random modeling errors, we determine the corresponding expressions of the probability of source resolution versus the model mismatch. A first series of simulations validates the mathematical expression of the three resolution probabilities. A second series of simulations is used to select among them the tightest one to the empirical one. The results are useful, e.g., for determining the necessary antenna calibration accuracy to achieve a target performance. © 2008 IEEE.
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  • Resultat 1-5 av 5
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tidskriftsartikel (3)
konferensbidrag (2)
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Ferreol, A., 0 (2)
Ferrol, A. (2)
Ferréol, Anne (1)
Chalmers tekniska högskola (5)
Engelska (5)
Forskningsämne (UKÄ/SCB)
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