Math @ Duke

Publications [#236029] of Robert Calderbank
Papers Published
 Calderbank, AR; Ozarow, LH, Nonequiprobable signaling on the Gaussian channel
(1990),
pp. 145
(last updated on 2018/10/20)
Abstract: Summary form only given, as follows. Many signaling schemes for the Gaussian channel are based on finitedimensional lattices. The signal constellation consists of all lattice points within a region R, and the shape of this region determines the average signal power. In the limit as N → ∞, the shape gain the Nsphere over the Ncube approaches πe/6 = 1.53 dB. It is shown that the full asymptotic shape gain can be realized in any fixed dimension by nonequiprobable signaling. Shaping schemes that achieve a significant fraction of the available asymptotic shaping gain are described. The peaktoaveragepower ratio of these schemes is superior to that of equiprobable signaling schemes based on Voronoi regions of multidimensional lattices. The new shaping schemes admit a simple staged demodulation procedure.


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