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Strong consistency of a family of model order selection rules for estimating 2D sinusoids in noise

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  • Kliger, Mark
  • Francos, Joseph M.

Abstract

We consider the problem of jointly estimating the number as well as the parameters of 2D sinusoidal signals, observed in the presence of an additive white Gaussian noise field. In this paper we prove the strong consistency of a large family of model order selection rules.

Suggested Citation

  • Kliger, Mark & Francos, Joseph M., 2008. "Strong consistency of a family of model order selection rules for estimating 2D sinusoids in noise," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 3075-3081, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:17:p:3075-3081
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    References listed on IDEAS

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    1. Hannan, E. J., 1981. "Estimating the dimension of a linear system," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 459-473, December.
    2. B. G. Quinn, 1989. "Estimating The Number Of Terms In A Sinusoidal Regression," Journal of Time Series Analysis, Wiley Blackwell, vol. 10(1), pages 71-75, January.
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