• DocumentCode
    910275
  • Title

    The application of prolate spheroidal wave functions to the detection and estimation of band-limited signals

  • Author

    Rino, Charles L.

  • Volume
    58
  • Issue
    2
  • fYear
    1970
  • Firstpage
    248
  • Lastpage
    249
  • Abstract
    A solution to the detection Fredholm equation for band-limited noise and signal is presented which makes use of the dual orthogonality and completeness of the prolate spheroidal wave functions. Although data are available only on a finite interval, the detector in principle achieves the same optimum performance as if the interval were infinite. This apparent anomaly is resolved in an example.
  • Keywords
    Detectors; Differential equations; Eigenvalues and eigenfunctions; Fourier transforms; Integral equations; Kernel; NASA; Signal detection; Signal resolution; Wave functions;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1970.7598
  • Filename
    1449528