Posterior Cramer-Rao bound for adaptive harmonic retrieval

  • Authors:
  • P. Tichavsky

  • Affiliations:
  • Inst. of Inf. Theory & Autom., Prague

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1995

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Abstract

The problem of adaptive parameter estimation for a single nonstationary noisy cisoid, where the sinusoidal frequency evolves according to Gaussian random walks, is studied. The lower bound on the minimum mean-square estimation error, which was derived by van Trees (1968), is evaluated for the problem. It is shown that two estimation methods attain this lower bound