• DocumentCode
    1280618
  • Title

    The PDF of adaptive beamforming weights

  • Author

    Steinhardt, Allan O.

  • Author_Institution
    Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
  • Volume
    39
  • Issue
    5
  • fYear
    1991
  • fDate
    5/1/1991 12:00:00 AM
  • Firstpage
    1232
  • Lastpage
    1235
  • Abstract
    The author derives a closed-form expression for the marginal probability density function (PDF) for the weight vector coefficients in a minimum-variance distortionless response (MVDR) adaptive beamformer, when the snapshots are independently identically distributed (IID) normal and the weights are computed via sample matrix inversion. The marginal PDF allows one to determine the dynamic range required to avoid saturation (with a specified degree of probability) in digital and/or analog implementation of beamforming weights
  • Keywords
    antenna phased arrays; antenna radiation patterns; probability; adaptive beamforming weights; closed-form expression; dynamic range; independently identically distributed snapshots; marginal PDF; marginal probability density function; minimum-variance distortionless response; sample matrix inversion; weight vector coefficients; Array signal processing; Automatic control; Covariance matrix; Degradation; Density functional theory; Dynamic range; Interference; Least squares approximation; Maximum likelihood estimation; Societies;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.80979
  • Filename
    80979