$25
Problem description
A base station and a mobile device locate in an urban area with temperature 27℃. Here, we consider a downlink case. The channel bandwidth is 10MHz. The power of the base station is 33dBm. The transmitter gain and the receiver gain are both 14 dB. The height of the base station is 1.5m, which is located on the top of a 50m high building. The position of the mobile device is 1.5m high from the ground.
1. Consider the path loss only radio propagation (without shadowing and fading). Use Two-ray-ground model as the propagation model for your simulation.
HINT: Please refer to slide 48 of Lec 2 for two-ray-ground model.
1-1. Please plot a figure with the received power of the mobile device (in dB) as the y-axis and the distance (in meter) between the BS and the mobile device as the x-axis.
1-2. According to 1-1, please plot a figure with SINR of the mobile device (in dB) as the y-axis and the distance between the BS and the mobile device (in meter) as the x-axis.
2. Consider both the path loss and shadowing (without fading). Apply log-normal shadowing to model the shadowing effect. The path loss model should be the same as 1-1.
HINT: Please refer to slide 52 and slide 53 of Lec 2 for log-normal distribution. Please set σ=6dB in the simulation.
2-1. Please plot a figure with the received power of the mobile device (in dB) as the y-axis and the distance (in meter) between the BS and the mobile device as the x-axis.
2-2. According to 2-1, please plot a figure with SINR of the mobile device (in dB) as the y-axis and the distance between the BS and the mobile device (in meter) as the x-axis.