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. 2020 Mar 2;378(2169):20190188. doi: 10.1098/rsta.2019.0188
U set of users in the room;
A set of access points;
W set of available wavelengths (RYGB);
B set of receiver branches (faces);
parameters:
u, m user indices; u is desired user, m indexes other users who may cause interference;
a, b access point indices; a is the access point allocated to user u, b is an access point allocated to another user m;
λ wavelength index;
f, g receiver face (branch), for the desired user and the other users;
POu,fa,λ optical power received by user u from an access point a using wavelength λ and branch f. This value was precalculated using a channel modelling tool, where the line of sight and first-order reflection components were calculated for the given access point and user location and for the given wavelengths on each branch;
Pu,fa,λ the squared electrical current at the receiver of user u due to the optical power received from access point a at the wavelength λ on receiver branch f. (Note that the squared current and electrical power are equivalent for a given system input impedance);
σu,fb,λ the shot noise mean square current at the receiver of user u due to the background unmodulated power of access point b operating at wavelength λ on receiver branch f;
σRx the mean square receiver noise current;
variables:
γu,fa,λ SINR of user u assigned to access point a and wavelength λ using branch f of the receiver;
Su,fa,λ a selector function where a binary value of 1 indicates the assignment of user u to access point a and wavelength λ (figure 3) and received through branch f of the receiver;
ϕm,u,fa,b,λ non-negative linearization variable, where ϕm,u,fa,b,λ=γu,fa,λSm,gb,λ.