On the Capacity of Discrete-Time Laguerre Channel

In this paper, new upper and lower bounds are proposed for the capacity of discrete-time Laguerre channel. Laguerre behavior is used to model various types of optical systems and networks such as optical amplifiers, short distance visible light communication systems with direct detection and coherent code division multiple access (CDMA) networks. Bounds are derived for short distance visible light communication systems and coherent CDMA networks. These bounds are separated in three main cases: when both average and peak power constraints are imposed, when peak power constraint is inactive and when only peak power constraint is active.

[1]  S. Karp Optical channels : fibers, clouds, water, and the atmosphere , 1988 .

[2]  Jeffrey H. Shapiro,et al.  The Poisson Channel at Low Input Powers , 2008, ArXiv.

[3]  Steve Hranilovic,et al.  Capacity Bounds for Wireless Optical Intensity Channels With Gaussian Noise , 2010, IEEE Transactions on Information Theory.

[4]  Brian Hansen,et al.  NFIRE-to-TerraSAR-X laser communication results: satellite pointing, disturbances, and other attributes consistent with successful performance , 2009, Defense + Commercial Sensing.

[5]  Frank R. Kschischang,et al.  Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise , 2004, IEEE Transactions on Information Theory.

[6]  Alfonso Martinez,et al.  Spectral efficiency of optical direct detection , 2007 .

[7]  Stefan M. Moser Duality-based bounds on channel capacity , 2005 .

[8]  Andrew M. Weiner,et al.  Coherent ultrashort light pulse code-division multiple access communication systems , 1990 .

[9]  Joseph M. Kahn,et al.  Upper-bounding the capacity of optical IM/DD Channels with multiple-subcarrier modulation and fixed bias using trigonometric moment space method , 2002, IEEE Trans. Inf. Theory.

[10]  Frank R. Kschischang,et al.  Capacity-achieving probability measure for conditionally Gaussian channels with bounded inputs , 2005, IEEE Transactions on Information Theory.

[11]  Amos Lapidoth,et al.  On the Capacity of the Discrete-Time Poisson Channel , 2009, IEEE Transactions on Information Theory.

[12]  Amos Lapidoth,et al.  On the Capacity of Free-Space Optical Intensity Channels , 2008, IEEE Transactions on Information Theory.