Page 63 - IJEEE-2023-Vol19-ISSUE-1
P. 63

Msayer, Swadi, & AlSabbagh                                                                                  | 59

                                                                                    TABLE I

                                                                        VALUES OF PARAMETERS USED IN THE SIMULATION.

                                                                        Simulation Factors

                                                                        >C 1 DEF/GH

                                                                        J5 0.04
                                                                        J6 0.16
                                                                        J7 0.8

Fig. 2: Average achievable rates vs transmit power without              PH5 5R
                        cooperative relay.                              P56 5R
                                                                        P57 10R
  Fig. 3: Outage probability of near user NOMA without
                        cooperative relay.                              S4

                                                                        Band Width             1TGH

                                                                        Thermal noise density  -174	P;R/GH

Fig 4: System model-1 of cooperative NOMA- Near User is                 where,
                 a Relay to the other two Users.                        PH5 : the distance between the ;< and the =5.
                                                                        P56 : the distance between the =5 and the =6.
                                                                        P57 : the distance between the =5 and the =7.
                                                                        S : Path loss exponent.

                                                                           Based on Eqs. (7), (8) and (9) to simulate the rates that
                                                                        can be achieved with the transmitted power shown in Fig.
                                                                        (5). It’s clear that the achievable data rate increases linearly
                                                                        for both near and middle users due to using the SIC
                                                                        technology to remove co-channel interference of larger
                                                                        unwanted powers, resulting in higher signal-to-noise ratio
                                                                        and high data rates that can be achieved with increased
                                                                        transmitted power Pt. The results show that an improvement
                                                                        in data rates for the second and third users, with a value
                                                                        ranging from 7.57 bps/Hz to 12.55 bps/Hz for the second
                                                                        user and a near-constant value of 1,292 bps/Hz for the third
                                                                        user at the transmitting power ranging from zero to 30 dBm,
                                                                        the first user’s achievable data rate is reduced by a half due
                                                                        to the relying (a new value ranging from 6.56 bps/Hz to 11.55
                                                                        bps/Hz).

The achievable rate of the near user is,
                                           |>()|A**?+@))
>F599?                  =  G  log<(1    +                          (7)
                           <

Now, the near user (relay) will send the signals to both the

middle and far users through a special channel between the

relay and the middle user and another one between the relay

and the farthest user.                   |>),A|**?+@,)

>F699?                  =  G  log<(1  +                            (8)    Fig. 5: Average achievable rates vs transmit power with
                           <                                       (9)                         cooperative Un relay.
                                        .>).>-).*-?.*+@?,+@3-A*	)
>F799?  =               G  log<  (1  +                                        Figure 6 illustrates variation of the outage probability to
                        <                                               the transmitted power. It shows that, all users are safe from
                                                                        the outage by contribution of the near user and using it as a
MATLAB is used to simulate the model. Table I shows                     relay to extend the coverage network to the other users.

the values of the simulation values that are used in the model.

values that are used in the model.
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