• DocumentCode
    768327
  • Title

    Asymptotic maximum likelihood estimator performance for chaotic signals in noise

  • Author

    Kay, Steven

  • Author_Institution
    Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
  • Volume
    43
  • Issue
    4
  • fYear
    1995
  • fDate
    4/1/1995 12:00:00 AM
  • Firstpage
    1009
  • Lastpage
    1012
  • Abstract
    The performance of the maximum likelihood estimator for a 1-D chaotic signal in white Gaussian noise is derived. It is found that the estimator is inconsistent and therefore the usual asymptotic distribution (large data record length) is invalid. However, for high signal-to-noise ratios (SNRs), the maximum likelihood estimator is asymptotically unbiased and attains the Cramer-Rao lower bound.<>
  • Keywords
    Gaussian noise; chaos; maximum likelihood estimation; signal processing; white noise; Cramer-Rao lower bound; asymptotic distribution; asymptotic maximum likelihood estimator performance; chaos; high signal-to-noise ratios; white Gaussian noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.378033
  • Filename
    378033