Calculation of shell frequency distributions obtained with shell-mapping schemes

  • Authors:
  • R. F.H. Fischer

  • Affiliations:
  • Lehrstuhl fur Nachrichtentech., Erlangen-Nurnberg Univ.

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

In order to calculate the transmit power in shell-mapping-based transmission schemes, the frequencies of the shells are required. In this correspondence, a simple but general method for the calculation of these frequencies is derived. The method has approximately the same complexity as the shell-mapping encoder. As an example, the method is shown in detail for the shell-mapping scheme specified for the international telephone-line V.34 modem standard. Moreover, a very simple approximation is given which is tight for large constellations