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Shaping and nonequiprobable signaling for intensity-modulated signals

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2 Author(s)
Da-shan Shiu ; Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA ; Kahn, J.M.

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→∞, 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) constituent constellation is exponential. We also investigate the tradeoffs between shaping and its negative consequences, and find that a 1-dB shape gain can be achieved while incurring reasonable increases in peak-to-average power ratio and constellation expansion ratio

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 7 )