Part a: Cellular System with Multiple Cells without Frequency Reuse
1) Do the following generate a cluster of hexagonal cells (without frequency reuse).
a) Modify the code in Table 1 to generate a cluster of cells (each cell having a radius of R km) in the cellular system which can provide a coverage to an area of 5 km × 7 km. Print the figure in the report. (5 marks)
b) How many cells are required to provide this coverage? (2 marks)
c) Compute the actual total area covered by all the cells. (3 marks)
2) Generate one base station for every cell generated in Step 1. Print the figure in the report. (5 marks)
3) Generate 10 subscribers for each cell, who are randomly distributed. Print the figure in the report. (5 marks)
4) Choose one cell from the systems above and show the SNRs for the 10 subscribers from that cell if the base station transmits power with 50 dBm to all subscribers. (5 marks)
5) In this cellular system, there are 200 channels available for the whole system. Assume that there is no frequency reuse implementation. Calculate the number of users that can be supported by each cell and by the whole system at 1% of call blocking if each user has average 2.5 calls per hour and average call duration is 3.5 minutes. (8 marks) 4
Part b: Cellular System with Multiple Cells with Frequency Reuse
1) If the cellular system reuses the frequency with a factor of 0.25, repeat Step 1 in Part B and label all co-channel cells on the figure. (7 marks)
2) Determine the co-channel interference.
a) Calculate the frequency reuse distance. (2 marks)
b) Compute the SNR for every cell if co-channel interference is much higher than the noise. Consider only the co-channel interference from the first tier. (6 marks)
3) Similarly, there are 200 channels available for the whole system with frequency reuse. Calculate the number of users that can be supported for each cell and the whole system at 1% blocking if each user has average 2.5 calls per hour and average call duration is 3.5 minutes. (8 marks)
4) Compare the capacity obtained in Step 3 (Part C) with the capacity obtained in Step 5 (Part B). Please give your comments in terms of the capacity improvement and SNR degradation. (4 marks)
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