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A certain cellular system has hexagonal cells and system deploys clustering to avoid co- channel interference. Let the distance to a mobile from the serving base station be ds and the distance from closest other base station using the same channel be di. i. Assuming a free space path loss model with a path loss exponent 2 , show that signal to interference ratio (~) = 20 log(s) dB. Thus, determine a suitable reuse factor for a threshold = -4dB. iii. If the cellular system uses a total bandwidth of 50MHz and a subscriber requires 50kHz (simplex), calculate the system capacity for 100 base stations