• DocumentCode
    776991
  • Title

    On the Probability Density Function of the Squared Envelope of a Sum of Random Phase Vectors

  • Author

    Simon, Marvin K.

  • Author_Institution
    California Inst. of Tech., Pasadena, CA
  • Volume
    33
  • Issue
    9
  • fYear
    1985
  • fDate
    9/1/1985 12:00:00 AM
  • Firstpage
    993
  • Lastpage
    996
  • Abstract
    A recursive solution is presented for the probability density function of the sum of N independent, random phase vectors. The recursion parameter is N , the number of vectors in the sum. This approach allows one to rapidly compute a complete set of these density functions for values of N = 2, 3, ..., N_{\\max } , where Nmaxtypically corresponds to the total number of system users in a multiuser FHMA/MFSK application, or one plus the total number of jamming tones in an FH/MFSK spread-spectrum application. Such evaluations are necessary for exact calculation of the average error probability performance of such systems.
  • Keywords
    Frequency-hop communication; Frequency-shift keying; Multiaccess communication; Density functional theory; Distributed computing; Error probability; Interference; Jamming; Power system modeling; Probability density function; Random variables; Space technology; Spread spectrum communication;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1985.1096409
  • Filename
    1096409