• DocumentCode
    2391825
  • Title

    Minimum bandwidth basis functions for the fourth-moment bandwidth measure

  • Author

    Fain, Eric A. ; Varanasi, Mahesh K.

  • Author_Institution
    Lockheed Martin MDS, San Jose, CA, USA
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    416
  • Abstract
    We present a fourth-moment measure of the “bandwidth” of a strictly time-limited signal and obtain a minimum bandwidth basis for L2(a,b). Such a basis consists of orthonormal waveforms with the smallest obtainable bandwidths. The primary advantage of the fourth-moment bandwidth relative to the root mean square (RMS) and fractional out-of-band energy (FOBE) measures is that its basis functions have a O(1/f3) frequency roll-off compared to the O(1/f2) and O(1/f) decay of the RMS and FOBE basis functions, respectively
  • Keywords
    function evaluation; signal processing; spectral analysis; RMS basis function; fourth-moment bandwidth measure; fractional out-of-band energy measure; frequency roll-off; minimum bandwidth basis functions; orthonormal waveforms; root mean square; spectral concentration; time-limited signal; Bandwidth; Boundary conditions; Eigenvalues and eigenfunctions; Energy measurement; Equations; Frequency measurement; Measurement standards; Root mean square; Wave functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866714
  • Filename
    866714
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2391825