• DocumentCode
    3077933
  • Title

    Joint representations (JR) in signal theory (ST) and hilbertian analysis: A powerful tool for signal analysis

  • Author

    Escudié, B. ; Gréa, J.

  • Author_Institution
    Laboratoire Traitement du Signal, Lyon Cedex, France
  • Volume
    9
  • fYear
    1984
  • fDate
    30742
  • Firstpage
    274
  • Lastpage
    277
  • Abstract
    Joint Representations were derived to display signals as an energetic function of time t and frequency γ. These variables are conjugate ones as position ρ and momentum p in Quantum Mechanics (QM). Properties of various JRsare depicted by a measurement system characterized by a weighting function f(n,τ). This function is related to the moments of JR related to modulation properties of signals. Operators defined by hilbertian analysis are associated by various JRsto variables t and γ and functions of them, as in Q.M. Properties of JR are discussed as described by f(n,τ).
  • Keywords
    Acoustics; Displays; Distribution functions; Equations; Fourier transforms; Frequency modulation; Mechanical factors; RF signals; Signal analysis; Speech;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '84.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1984.1172797
  • Filename
    1172797
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3077933