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Harmonic retrieval in non-circular complex-valued multiplicative noise: Cramer-rao bound

  • University of Leeds

Research output: Contribution to journalConference articlepeer-review

8 Citations (Scopus)

Abstract

We address the problem of harmonic retrieval in the presence of multiplicative and additive noise. We derive the finite-sample Cramér Rao Bound (CRB) as well as the asymptotic (large sample) CRB when the multiplicative noise is complex-valued and non-circular. These bounds are then analyzed with respect to the signal parameters. Finally, we prove that the Square-Power based frequency estimate, which is equivalent to the so-called Nonlinear Least Square estimate, is asymptotically efficient when the multiplicative noise is white.

Original languageEnglish
Pages (from-to)II489-II492
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume2
Publication statusPublished - 7 Oct 2004
EventProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada
Duration: 17 May 200421 May 2004

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