Question

Part2. Solve the problems providing numerical solution. Problem 1. (20 points) If 20 MHz of total spectrum is allocated for a wireless cellular system and each simplex channel has 25 kHz RF bandwidth. Find o the total numbor of duplex chanadls M- b) the total number of channels per cell if N 4 and N-7 cluster sizes are used. k for N-4 k for N-7- Problem. 2. (30 points) A cellular TDMA system requires that the Signal-to-Interference-Ratio to be no worse than1 5dB for downlink case. Find the optimal value of the cluster size N for a) omnidirectional antennas b) 120° sectoring c) 60° sectoring Nomn N120- N60 Assume the propagation constant n-3.

Answer 1

Problem1)

Total spectrum = 20MHz = 20 x 10⁶ Hz

RF bandwidth for simplex channel = 25 kHz = 25 x 10³ Hz

Total number of duplex channels is

= 400

b) Total number of channel per cell if N= 4 cluster is used

k _{for N= 4} = 400/4

= 100

Total number of channel per cell if N= 7 cluster is used

k _{for N= 7} = 400/7

= 57.14

= 57

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