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Digital information processing: The Lie groups defining the filter banks of the compact disc

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EN
Abstrakty
EN
The versality of the compact disc (CD) has quickly become apparent to manufacturers and users alike. Exceeding the expectations of even its most ardent supporters, the CD holographic disc storage system has become one of the most successful consumer electronics products ever introduced. The phenomenal success of the audio CD on the eager worldwide marketplace has encouraged rapid development of CD technology and spawned entirely new high tech applications for the dimpled disc. The Mini Disc (MD), for instance, occupies about one-fourth the area of the standard CD-Digital Audio (CD-DA) format yet provides an identical playing time through efficient data reduction. The essence of digital audio lies in its numerical basis. It is the aim of the present paper to elaborate the mathematical principles underlying the audio CD as far as they are concerned to the format's electronic and holographic principles.
Rocznik
Strony
283--307
Opis fizyczny
Bibliogr. 38 poz., rys.
Twórcy
autor
  • Lehrstuhl fur Mathematik, Universitat Mannheim, Seminargebaude A 5,6, 68131 Mannheim, Germany
autor
  • Lehrstuhl fur Mathematik, Universitat Siegen, Walter-Flex-Strasse 3, 57068 Siegen, Germany
Bibliografia
  • [1] Leith E N 1978 Optical Data Processing, Casascnt D (Ed.), Springer-Verlag, Berlin, Heidelberg, New York, pp. 89-117
  • [2] Binz E and Schempp W 2000 Proc. 2nd International Workshop on Transforms and Filter Banks, Creutzburg R and Astola J (Eds.), Tampere International Center for Signal Processing, Tampere, Finland, pp. 571-589
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  • [11] Binz E and Schempp W 2000 Proc. 15th European Meeting on Cybernetics and Systems Research, Trappl R (Ed.), University of Vienna and Austrian Society for Cybernetic Studies, Vienna, 1 123
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  • [25] Deng B, Xiao C, Schempp W and Wu Z 2001 Existence of the Weyl-Heisenberg and Affine Frames, Manuscript (to appear)
  • [26] Young R M 1980 An Introduction to Nonharmonic Fourier Series, Pure and Applied Mathematics Series, Academic Press, New York, London, Toronto
  • [27] Donoghue Jr W F 1974 Monotone Matrix Functions and Analytic Continuation, Spronger-Verlag, Berlin, Heidelberg, New York
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  • [31] Binz E and Schempp W 2001 Space-Time Geometry and Quantum Information: Transmission, Encoding and Detection, Manuscript (to appear)
  • [32] Bertoin J 1998 Levy Processes, Cambridge University Press, Cambridge, New York, Melbourne
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  • [35] Binz E and Schempp W 2001 The Levy Intensity Measure and the Third Kepplerian Law of Planetary Motion (to appear)
  • [36] Binz E and Schempp W 2001 The Landsberg-Schaar Identity and the Real Heisenberg Nilpotent Lie Group (to appear)
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0010-0079
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