Cutoff Rate and Capacity of MPPM in Noiseless Photon Counting Channel

Tomoaki OHTSUKI  Hiroyuki YASHIMA  Iwao SASASE  Shinsaku MORI  

IEICE TRANSACTIONS on Communications   Vol.E74-B   No.12   pp.4080-4084
Publication Date: 1991/12/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Communication Systems and Transmission Equipment

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The cutoff rate of Multi-pulse Pulse Position Modulation (MPPM) is evaluated in noiseless photon counting channel. The cutoff rate per slot and the cutoff rate per photon are shown for MPPM. It is found that MPPM performs better than PPM in the practical range of average number of photons per pulse. Moreover, it is shown that, in the case with binary digit, MPPM can be seen as the parallel combination of completely correlated binary erasure channels (BECs). From this perspective, both the capacity and the cutoff rate are investigated. It is shown that the capacity of MPPM is larger than the sum of the capacities of BECs, but that the cutoff rate of MPPM is smaller than the sum of the cutoff rates of BECs when a large number of bits are transmitted in one frame. Therefore, it is found that, when large number of bits are transmitted in one frame, coding/decoding on each BEC independently has advantages in system complexity rather than coding/decoding over BECs jointly to achieve a given bit error probability.