Abstract:We analyze the performance of on-off keying (OOK) and its restricted version pulse position modulation (PPM) over a lossy narrowband optical channel under the constraint of a low average photon number, when direct detection is used at the output. An analytical approximation for the maximum PPM transmission rate is derived, quantifying the effects of photon statistics on the communication efficiency in terms of the g (2) second-order intensity correlation function of the light source. Enhancement attainable through the use of sub-Poissonian light is discussed. Comput. Math. 5(4), 329-359 (1996). 14. K. Tsujino, D. Fukuda, G. Fujii, S. Inoue, M. Fujiwara, M. Takeoka, and M. Sasaki, "Sub-shot-noise-limit discrimination of on-off keyed coherent signals via a quantum receiver with a superconducting transition edge sensor," Opt. Express 18(8), 8107-8114 (2010). 15. J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, "Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver," Nature Photon. 6(6), 374-379 (2012). 16. S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, "Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion," Phys. Rev. A 87(5), 050303(R) (2013).