Asymptotic Cramßr-Rao bounds for two closely spaced damped cisoids

  • Authors:

  • Ersen Yilmaz;Erdoǧan Dilaveroǧlu

  • Affiliations:

  • Department of Electronic Engineering, Uludaǧ University, Bursa, Turkey;Department of Electronic Engineering, Uludaǧ University, Bursa, Turkey

  • Venue:
  • Signal Processing - Special section: Distributed source coding
  • Year:
  • 2006

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Abstract

Simple closed-form expressions are presented for the Cramér-Rao bounds (CRBs) for estimating the parameters of two closely spaced damped cisoids in complex additive white Gaussian noise in the case of low damping and a sufficiently large number of data samples. The expressions provide useful insight into the behaviour of the CRBs with the frequency separation and the damping factors of the cisoids.