On the Capacity of the Intensity-Modulation Direct-Detection Optical Broadcast Channel

“…The SISO IM-DD channel with input-dependent (relative intensity) Gaussian noise has been studied in [5]. The capacity of multi-user SISO IM-DD channels has been studied in [13], [14]. The performance of transmission schemes in IM-DD OWC in terms of error and outage probability has been investigated in [15]- [19], to name a few.…”

Section: Introductionmentioning

confidence: 99%

Low-SNR Asymptotic Capacity of MIMO Optical Intensity Channels with Peak and Average Constraints

Chaaban

Rezki

Alouini

2018

IEEE Trans. Commun.

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Abstract-The low-SNR asymptotic capacity of the multipleinput multiple-output (MIMO) optical intensity channel is studied under both average and peak intensity constraints. We focus on low SNR, which can be modeled as the scenario where both constraints proportionally vanish, or where the peak constraint is held constant while the average constraint vanishes. A capacity upper bound is derived, and is shown to be tight at low SNR under both scenarios. The capacity achieving input distribution at low SNR is shown to be a maximally-correlated vectorbinary input distribution. Consequently, the low-SNR capacity of the channel is characterized. As a byproduct, it is shown that for a channel with peak intensity constraints only, or with peak intensity constraints and individual (per aperture) average intensity constraints, a simple scheme composed of coded onoff keying, spatial repetition, and maximum-ratio combining is optimal at low SNR.

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“…, and therefore for ξ = 1/2 16 Uniqueness follows from the fact that L max 1 (ξ) is continuous, increases linearly when ξ ∈ [0, 1/2], has a unique maximum at ξ = 1/2, and…”

Section: Appendix D Proof Of Theoremmentioning

confidence: 99%

“…Per-LED average and peak power constraints are considered. The authors have extended their work to more than two users in [16]. However, in both [15] and [16], the transmitter has only one LED.…”

Section: Introductionmentioning

confidence: 99%

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Achievable Rate Region of the Zero-Forcing Precoder in a $2\times 2$ MU-MISO Broadcast VLC Channel With Per-LED Peak Power Constraint and Dimming Control

Agarwal¹,

Mohammed²

2017

J. Lightwave Technol.

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Abstract-In this paper, we consider the 2 × 2 multi-user multiple-input-single-output (MU-MISO) broadcast visible light communication (VLC) channel with two light emitting diodes (LEDs) at the transmitter and a single photo diode (PD) at each of the two users. We propose an achievable rate region of the Zero-Forcing (ZF) precoder in this 2 × 2 MU-MISO VLC channel under a per-LED peak and average power constraint, where the average optical power emitted from each LED is fixed for constant lighting, but is controllable (referred to as dimming control in IEEE 802.15.7 standard on VLC). We analytically characterize the proposed rate region boundary and show that it is Pareto-optimal. Further analysis reveals that the largest rate region is achieved when the fixed per-LED average optical power is half of the allowed per-LED peak optical power. We also propose a novel transceiver architecture where the channel encoder and dimming control are separated which greatly simplifies the complexity of the transceiver. A case study of an indoor VLC channel with the proposed transceiver reveals that the achievable information rates are sensitive to the placement of the LEDs and the PDs. An interesting observation is that for a given placement of LEDs in a 5 m × 5 m × 3 m room, even with a substantial displacement of the users from their optimum placement, reduction in the achievable rates is not significant. This observation could therefore be used to define "coverage zones" within a room where the reduction in the information rates to the two users is within an acceptable tolerance limit.

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On the Capacity of the Intensity-Modulation Direct-Detection Optical Broadcast Channel

Cited by 63 publications

References 30 publications

Fundamental Limits of Parallel Optical Wireless Channels: Capacity Results and Outage Formulation

Fundamental Limits of Parallel Optical Wireless Channels: Capacity Results and Outage Formulation

Low-SNR Asymptotic Capacity of MIMO Optical Intensity Channels with Peak and Average Constraints

Achievable Rate Region of the Zero-Forcing Precoder in a $2\times 2$ MU-MISO Broadcast VLC Channel With Per-LED Peak Power Constraint and Dimming Control

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