• DocumentCode
    1460079
  • Title

    Optimal pulse shape for estimating positions of superimposed pulses

  • Author

    Nguyen, Thanh D. ; Reeves, Stanley J. ; Denney, Thomas S., Jr.

  • Author_Institution
    Dept. of Electr. Eng., Auburn Univ., AL, USA
  • Volume
    47
  • Issue
    1
  • fYear
    1999
  • fDate
    1/1/1999 12:00:00 AM
  • Firstpage
    210
  • Lastpage
    212
  • Abstract
    In this correspondence, we determine the optimal pulse shape for estimating positions of superimposed pulses by deriving the Cramer-Rao lower bound (CRLB) on the average estimation error variance and numerically optimizing it with respect to pulse shape. Our results show that a significant improvement in estimation error variance can be achieved relative to Gaussian and rectangular pulse shapes
  • Keywords
    estimation theory; least squares approximations; optimisation; signal processing; Cramer-Rao lower bound; Gaussian pulse shapes; average estimation error variance; estimation error variance; optimal pulse shape; positions; rectangular pulse shapes; superimposed pulses; Biomedical measurements; Chromium; Estimation error; Magnetic modulators; Pulse measurements; Pulse modulation; Pulse shaping methods; Sampling methods; Shape measurement; Tagging;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.738254
  • Filename
    738254