  A non-orthogonal multiple access (NOMA) approach to user signal power
allocation called Fair-NOMA is introduced. Fair-NOMA is the application of NOMA
in such a way that two mobile users have the opportunity to always achieve at
least the information capacity they can achieve by using orthogonal multiple
access (OMA), regardless of the user selection criteria, making it suitable for
implementation using any current or future scheduling paradigms. Given this
condition, the bounds of the power allocation coefficients are derived as
functions of the channel gains of the two mobile users. The NOMA power
allocation is analyzed for two scheduled users that are selected randomly with
i.i.d. channel gains. The capacity improvements made by each user and the sum
capacity improvement are derived.
