• DocumentCode
    431865
  • Title

    Staying rich: LTI systems which preserve signal richness

  • Author

    Vaidyanathan, P.P. ; Su, Borching

  • Author_Institution
    Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
  • Volume
    4
  • fYear
    2005
  • fDate
    18-23 March 2005
  • Abstract
    There are many ways to define richness of a discrete time signal. This paper considers a particular definition and explores the conditions under which a linear time invariant system preserves the richness property. Several examples are presented to clarify the issues involved in the problem. Some sufficient conditions are presented. Also presented are necessary and sufficient conditions for some special cases. A set of necessary and sufficient conditions for the most general case is not known at this time.
  • Keywords
    discrete time systems; signal processing; LTI systems; discrete time signal; linear time invariant system; signal richness; Communication channels; Filter bank; Finite impulse response filter; Frequency; Linear matrix inequalities; Sufficient conditions; Time invariant systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-8874-7
  • Type

    conf

  • DOI
    10.1109/ICASSP.2005.1415992
  • Filename
    1415992