  In this paper, we investigate an integrated visible light positioning and
communication (VLPC) system with a single LED-lamp. First, by leveraging the
fact that the VLC channel model is a function of the receiver's location, we
propose a system model that estimates the channel state information (CSI) based
on the positioning information without transmitting pilot sequences. Second, we
derive the Cramer-Rao lower bound (CRLB) on the positioning error variance and
a lower bound on the achievable rate with on-off keying modulation. Third,
based on the derived performance metrics, we optimize the power allocation to
minimize the CRLB, while satisfying the rate outage probability constraint. To
tackle this non-convex optimization problem, we apply the worst-case
distribution of the Conditional Value-at-Risk (CVaR) and the block coordinate
descent (BCD) methods to obtain the feasible solutions. Finally, the effects of
critical system parameters, such as outage probability, rate threshold, total
power threshold, are revealed by numerical results.
