• DocumentCode
    1105041
  • Title

    Sampling expansions for multiband signals

  • Author

    Brown, J.L., Jr.

  • Author_Institution
    The Air Force Institute of Technology, Wright Patterson Air Force Base, OH
  • Volume
    33
  • Issue
    1
  • fYear
    1985
  • fDate
    2/1/1985 12:00:00 AM
  • Firstpage
    312
  • Lastpage
    315
  • Abstract
    The class BIof finite energy signals bandlimited to a set I is considered where I denotes a finite union of disjoint open intervals (bands) on the real frequency axis. If such a signal is sampled uniformly (constant intersample spacing T), it is shown that the following five propositions are equivalent. 1) Any signal in BIis uniquely determined from its uniform samples taken at the rate 1/T samples/s. 2) The set of complex exponentials \\{e^{in\\omega T}\\}_{-\\infty}^{\\infty} is complete on the set I. 3) the translated sets \\{\\omega + k\\sigma : \\omega \\epsilon I\\} with σ = 2π/T do not intersect I for any k \\neq 0 . 4) Each signal in BIpossesses a mean-square convergent sampling expansion in terms of its samples at rate 1/T samples/s. 5) A generalized Parseval relation holds for each pair of signals in BI.
  • Keywords
    Acoustics; Bismuth; Filtering theory; Fourier series; Frequency division multiplexing; Out of order; Sampling methods; Signal analysis; Signal sampling; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1985.1164499
  • Filename
    1164499
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1105041