Publications [#236029] of Robert Calderbank

Journal articles or Book chapters PUBLISHED

1. Calderbank, AR; Ozarow, LH, Non-equiprobable signaling on the Gaussian channel, undefined (December, 1990), pp. 145
   (last updated on 2026/01/17)

   Abstract:
   Summary form only given, as follows. Many signaling schemes for the Gaussian channel are based on finite-dimensional 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 N-sphere over the N-cube 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 peak-to-average-power 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.