On the Capacity of the Two-User IM/DD Interference Channel

In Visible Light Communications (VLC) with multiple transmitters sending information to multiple receivers simultaneously, the optical signals interfere due to the diffused light. The result is an Intensity-Modulation/Direct-Detection (IM/DD) Interference Channel (IC), whose capacity has not been investigated. The challenge in studying the capacity of the IM/DD IC is due to its non-negative inputs with mean optical power constraints on the one hand, and interference on the other hand. In this paper the capacity of the IM/DD IC is studied. Capacity inner and outer bounds are derived and evaluated. The inner bounds are based on treating interference as noise (TIN) and the Han-Kobayashi (HK) scheme. The outer bound is based on a Z-channel bound. The bounds are shown to coincide asymptotically at high signal-to-noise ratio (SNR) in the strong interference regime, leading to the characterization of the strong interference capacity at high SNR. The bounds are also compared numerically in the weak interference regime.

[1]  Igal Sason,et al.  On achievable rate regions for the Gaussian interference channel , 2004, IEEE Transactions on Information Theory.

[2]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[3]  Edward C. van der Meulen,et al.  A survey of multi-way channels in information theory: 1961-1976 , 1977, IEEE Trans. Inf. Theory.

[4]  Venugopal V. Veeravalli,et al.  Gaussian interference networks: sum capacity in the low-interference regime and new outer bounds on the capacity region , 2009, IEEE Trans. Inf. Theory.

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

[6]  Mohamed-Slim Alouini,et al.  Capacity Bounds for the Gaussian IM-DD Optical Multiple-Access Channel , 2017, IEEE Transactions on Wireless Communications.

[7]  R. Ahlswede.  The Capacity Region of a Channel with Two Senders and Two Receivers , 1974 .

[8]  Shuai Ma,et al.  Capacity Bounds and Interference Management for Interference Channel in Visible Light Communication Networks , 2019, IEEE Transactions on Wireless Communications.

[9]  Harald Haas,et al.  Indoor optical wireless communication: potential and state-of-the-art , 2011, IEEE Communications Magazine.

[10]  Mohamed-Slim Alouini,et al.  On the Capacity of the Intensity-Modulation Direct-Detection Optical Broadcast Channel , 2016, IEEE Transactions on Wireless Communications.

[11]  Hiroshi Sato,et al.  Two-user communication channels , 1977, IEEE Trans. Inf. Theory.

[12]  Aydano B. Carleial,et al.  Interference channels , 1978, IEEE Trans. Inf. Theory.

[13]  Amos Lapidoth,et al.  On the capacity of free-space optical intensity channels , 2009, IEEE Trans. Inf. Theory.

[14]  R. Benzel,et al.  The capacity region of a class of discrete additive degraded interference channels (Corresp.) , 1979, IEEE Trans. Inf. Theory.

[15]  Aydano B. Carleial,et al.  A case where interference does not reduce capacity (Corresp.) , 1975, IEEE Trans. Inf. Theory.

[16]  Claude E. Shannon,et al.  Two-way Communication Channels , 1961 .

[17]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[18]  Thomas M. Cover,et al.  An achievable rate region for the broadcast channel , 1975, IEEE Trans. Inf. Theory.

[19]  Mehul Motani,et al.  On The Han–Kobayashi Region for theInterference Channel , 2008, IEEE Transactions on Information Theory.