Outage Probability Improvement Through Optimal LED Placement for Visible Light Communications

Improved LED arrangement through outage probability minimization in LiFi communication systems

“…Similarly, we characterize the random variable $$u^z_l$$ by a truncated Weibull distribution function $$g_2(u^z_l)$$ with parameters ρ and λ as [18] $$$$\begin{equation} g_2(u^z_l)\propto \mathcal {W}eibull(\rho ,\lambda )=\frac{\frac{\rho }{\lambda }{\left(\frac{u^z_l}{\lambda }\right)}^{\rho -1}\exp {\left\lbrace -{\left(\frac{u^z_l}{\lambda }\right)}^\rho \right\rbrace} }{1-\exp {\left\lbrace -{\left(\frac{H}{\lambda }\right)}^\rho \right\rbrace} }, \end{equation}$$$$for $$0<u^z_l<H$$, where $$\rho >0$$ is the shape parameter and $$\lambda >0$$ is the scale parameter of the Weibull distribution. Notice that for $$H>\lambda$$ and $$\rho >>1$$, we have $$\exp \lbrace -(\frac{H}{\lambda })^\rho \rbrace \simeq 0$$.…”

“…In [17], Abdullah et al used the outage probability to determine the location of access points according to the transfer delay and the user speed. In [18], we proposed a fully numerical method to find the location of the transmitters, by minimizing the outage probability at the receivers which are randomly distributed in a corridor environment. More recently, in [19], we addressed the physical layer security (PLS) of the VLC link in a room by optimizing the location of the transmitters to reduce the secrecy outage probability.…”

“…Similarly, we characterize the random variable u z l by a truncated Weibull distribution function g 2 (u z l ) with parameters 𝜌 and 𝜆 as [18]…”

Enhanced secrecy outage probability for multiple‐input single‐output‐VLC systems through optical beamforming and improved light emitting diodes deployment

“…Then, by using a specific cost function, we formulate an optimisation problem for deriving the closed-form expression of the optimal beamforming weights, which characterises the essence of the proposed method. In Section 4, we derive an expression for the instantaneous received SNR in the LOS channel, the secrecy capacity and the SOP, which is used as a metric to determine the optimal arrangement of the LEDs at [8,9] SNR fluctuation Circular [10] Average area spectral efficiency Rectangular [11,17] Data rate Rectangular [4,6,12,13] Outage performance Rectangular [14,15] Blockage Random [18] and this work Secrecy outage probability Rectangular 102 the legitimate Rx. In Section 5, we present our simulation results and performance evaluation and finally in Section 6, we summarise our main results and we draw our conclusions.…”

“…In Ref. [13], we addressed LED placement on the ceiling for an indoor VLC system with the aim of minimising the outage probability at the location of the mobile receiver. In Refs.…”