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IEEE GLOBECOM 1998 (Cat. NO. 98CH36250)
The theory of shaping and nonequiprobable signaling, which has been developed for conventional electrical signals, must be modified to treat intensity-modulated (IM) signals. We show that for IM signals, the optimum shape of the constellation bounding region in N -dimensional (N -D) space is an N -D simplex. As N ! 1, the maximum achievable shape gain is 1.33 dB (in terms of transmitted power), and the resulting marginal signaling distribution on the one-dimensional (1-D) constituentdoi:10.1109/glocom.1998.775726 fatcat:my7rhbtnpzgodhuvnwva74wure