vigorously studied over the past decades since the emergence of blue LED. [1] A myriad of efficient phosphors including yellow emissive Y 3 Al 5 O 12 :Ce 3+ (YAG:Ce 3+ ), blue emissive BaMgAl 10 O 17 :Eu 2+ (BAM:Eu 2+ ), green emissive Si 6−z Al z O z N 8−z :Eu 2+ (0 < z ≤ 4.2) (β-Sialon:Eu 2+ ), and red emissive Y 2 O 3 :Eu 3+ have been commercialized and applied in indoor and outdoor illumination, traffic lights, and display backlight to name but a few. Nonetheless, the high junction temperature of LED chips (usually ≥150 °C) leads to nonradiative relaxation and diminish the luminescence efficiency of phosphors. [2] This phenomenon is widely known as thermal quenching (TQ) and is the main issue in further improving the performance and application of PC-LEDs. [2][3][4] The effect is expected to be even more severe in emerging micro-LED applications due to the proximity of phosphors with the LEDs. Furthermore, in traditional phosphors, the emission comes from atomic electron transition of earth scarce rare-earth elements, and the mining process of these elements poses a great threat to the environment and the health of the miners. [5] Therefore, the development of earth abundant emitters with high efficiency and TQ-resistant is urgent.
This paper is divided into two parts. In the first part, we analyze outage probability of dynamic decode and forward (DDF) with network coding (NC) and compare outage probability with using NC and without using NC. In the second part, we use MATLAB programming language to simulate our system model. We simulate outage probability and compare the simulation result with numerical value of outage probability in the first part to prove the correctness of the analytical outage probability. Our results show that network coding can improve the outage probability of considered system model.Index Terms-Cooperative communications, dynamic decode and forward, network coding, outage probability.
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