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Calculation of shell frequency distributions obtained with shell-mapping schemes

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1 Author(s)
Fischer, R.F.H. ; Lehrstuhl fur Nachrichtentech., Erlangen-Nurnberg Univ., Germany

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

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 5 )