• DocumentCode
    1790710
  • Title

    On the CRB for frequency estimation of superimposed multidimensional sinusoids

  • Author

    Letzepis, N.

  • Author_Institution
    Defence Sci. & Technol. Organ., Edinburgh, SA, Australia
  • fYear
    2014
  • fDate
    June 29 2014-July 2 2014
  • Firstpage
    97
  • Lastpage
    100
  • Abstract
    The Cramér-Rao bound (CRB) is derived for frequency estimation of the superposition of multidimensional complex sinusoids assuming the complex gains are known. The Fisher information matrix is derived in terms of the Dirichlet kernel, a kernel well-known for its use in Fourier series. In general, it is shown that the frequency estimation error variance for a particular sinusoid can be lower bounded by its isolated (single) multidimensional sinusoid CRB times a scaling factor that is dependent on its frequency separation from each sinusoid.
  • Keywords
    Fourier series; frequency estimation; matrix algebra; CRB; Cramér-Rao bound; Dirichlet kernel; Fisher information matrix; Fourier series; frequency estimation error variance; frequency separation; multidimensional complex sinusoids; scaling factor; superimposed multidimensional sinusoids; Estimation error; Frequency estimation; Kernel; Maximum likelihood estimation; Nickel; OFDM;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Statistical Signal Processing (SSP), 2014 IEEE Workshop on
  • Conference_Location
    Gold Coast, VIC
  • Type

    conf

  • DOI
    10.1109/SSP.2014.6884584
  • Filename
    6884584
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1790710