• DocumentCode
    1119002
  • Title

    On the Floating Point Representation of Complex Numbers

  • Author

    Yuen, C.K.

  • Author_Institution
    Computer Center, Australian National University
  • Issue
    8
  • fYear
    1975
  • Firstpage
    846
  • Lastpage
    848
  • Abstract
    It is shown that arithmetic operations are simplified if complex numbers are represented in an integrated form with real and imaginary parts sharing the same exponent. In the new representation, numbers with large magnitudes suffer increased rounding errors but errors for some other numbers decrease.
  • Keywords
    Complex numbers, floating point, imaginary base, negative base, number representation, rounding errors.; Arithmetic; Computer errors; Roundoff errors; Streaming media; Complex numbers, floating point, imaginary base, negative base, number representation, rounding errors.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1975.224321
  • Filename
    1672914