• DocumentCode
    1409810
  • Title

    Interpolation of complex stationary processes

  • Author

    Bondon, Pascal

  • Author_Institution
    Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
  • Volume
    46
  • Issue
    8
  • fYear
    1998
  • fDate
    8/1/1998 12:00:00 AM
  • Firstpage
    2259
  • Lastpage
    2262
  • Abstract
    The problem of minimum mean-square infinite extent interpolation for discrete-time stationary complex stochastic processes is studied. The interpolator consists of linear combinations of samples of the process and of their complex conjugate. The expressions of the interpolator and of the approximation error are derived and various consequences are examined. It is shown in particular that the approximation error may be zero while the interpolation error obtained when using only linear combinations of the samples is maximum
  • Keywords
    discrete time systems; error analysis; interpolation; least mean squares methods; signal sampling; stochastic processes; approximation error; complex conjugate; discrete-time stationary complex stochastic processes; interpolation error; interpolator; minimum mean-square infinite extent interpolation; samples linear combination; Approximation error; Bonding; Equations; Frequency domain analysis; Gaussian processes; Interpolation; Linear approximation; Random variables; Space stations; Stochastic processes;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.705455
  • Filename
    705455