# Claims and Experiments (PCP and General Fading kappa-mu)

Claims:
1. Closed-form coverage equation of a D2D communication in a clustered user which modeled in Thomas Cluster Process (TCP) with consideration of mode selection and kappa-mu general fading which covers the Rayleigh, Rician, and Nakagami-m (60%)
2. Able to maintain the connectivity quality in a complicated interference (combination of intra-inter interference) through the success connection rate expression + association policy (30%)
3. Expressed in mathematical derivation (analysis) and simulation (compared with one with association policy and not, using three kinds of fading(Rayleigh, Rician, Nakagami-m)) (10%)

Experiments:
1. (Done)[C1] State the conditions for the mode selection based on the radius comparison between the d_{Device} and BS_serving_radius :
a. d_{Device} is outside the BS_serving radius : use the D2D mode
b. d_{Device} is inside the BS_serving_radius : use the cellular mode

2. (Done)[C1] Separate the analysis part into two mode selections : cellular mode and D2D mode and use the kappa-mu general fading properties to set the Rayleigh, Rician, and Nakagami-m (properties : power, kappa, mu, and m)

3. (Done)[C2] Describe the complicated interference in form of map and association policy of DeUE (picture ongoing)

4. (Done)[C1,C2] Mathematical derivation of P(SINR>T) with PGFL and Slivyak Theorem (changing the interference and gain PDF(probability density function)with the expectation formula)

5. [C1,C2] Each of the P(SINR>T) function is derived with Rayleigh, Rician, and Nakagami-m fading

6. [C1,C2] Calculate the formula with Laplace transform (to turn PDF to MGF), then turn MGF to CDF for the final p_cov formula for the coverage rate mathematical analysis which will be used as the comparison with the simulation at [C3]

6. [C3] Illustrate the coverage probability of [C1] as the control variable for comparison with fading which following [C2]