• DocumentCode
    1409832
  • Title

    Estimating the number of signals and signal resolution

  • Author

    Huaijin Gu

  • Author_Institution
    Dept. of Math. & Stat., Louisiana Tech. Univ., Ruston, LA
  • Volume
    46
  • Issue
    8
  • fYear
    1998
  • fDate
    8/1/1998 12:00:00 AM
  • Firstpage
    2267
  • Lastpage
    2270
  • Abstract
    The nested likelihood ratios are shown to be asymptotically independent and sufficient for estimating the number of signals and to implement resolutions of superimposed signals into individual signals. As a result, estimating the number of signals can be reduced to a sequence of independent and simple tests. The procedure suggests an engineering sense that estimating the number of signals is based on complete resolutions of multiple signals. Simulations for estimating the number of overlapping echoes are given for illustration
  • Keywords
    maximum likelihood estimation; sequences; signal reconstruction; signal resolution; D-sequence; multiple signals; nested likelihood ratios; overlapping echoes; signal numbers estimation; signal resolution; superimposed signals; Gaussian noise; Mathematics; Maximum likelihood estimation; Signal processing; Signal processing algorithms; Signal resolution; Signal to noise ratio; Statistical distributions; Statistics; Testing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.705462
  • Filename
    705462