Information technology: the Lie groups defining the filter banks of the compact disc

  • Authors:
  • Ernst Binz;Walter Schempp

  • Affiliations:
  • Lehrstuhl für Mathematik I, Universität Mannheim, D-68159 Mannheim, Germany;Lehrstuhl für Mathematik I, Universität Siegen, D-57068 Siegen, Germany

  • Venue:
  • Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
  • Year:
  • 2002

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Abstract

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 holographics 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.