Acoustics, Speech, and Signal Processing, IEEE International Conference on (1993)
Minneapolis, MN, USA
Apr. 27, 1993 to Apr. 30, 1993
A.G. Dabak , Dept. Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
D.H. Johnson , Dept. Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
On the basis of a geometric theory of detection, the authors extend the notion of a signal constellation, a concept deeply rooted in Gaussian problems, to the non-Gaussian case. Significant differences between optimal designs for Gaussian and non-Gaussian situations are shown. In particular, square-wave signals are much more important in heavy-tailed, non-Gaussian noise situations than in Gaussian ones. Furthermore, design guidelines for non-Gaussian problems can vary with the number of signal set members and can depend on SNR. The extent to which suboptimal designs affect performance (using Gaussian-based designs in non-Gaussian situations, for example) can be predicted from calculations of the Kullback information, but only in the sense of determining how the logarithmic error probability rates differ.
A. Dabak and D. Johnson, "Signal constellations for non-Gaussian communication problems," Acoustics, Speech, and Signal Processing, IEEE International Conference on(ICASSP), Minneapolis, MN, USA, 1993, pp. 33-36.