The channel between a cell tower transmitter and a mobile device receiver at 55m has three paths, the direct path, a path with the length of 78m passing through one reflection, and a path of length 95m with two reflections. The transmitter operates at 60GHz mmWave.

 a) If we assume that the power of the first path is normalized to 0dBm(1mW), calculate the received signal strength of the second and the third path in dBm and in mW. Assume a fixed reflection coefficient of 0.7. 

b) Determine the delay of arrival for each path and sketch and label the delay power spectrum of the channel, Q( ). 

c) Calculate the rms delay spread of the channel, rms. 

d) Give the coherence bandwidth of the channel and the maximum symbol transmission rate with acceptable error rate