Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Solve e) and f) only showing all the steps in your work peoperly.
The figure is attached

A Figure 1. A hexagonal cellular geometry with cluster size K=13.
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Transcribed Image Text:A Figure 1. A hexagonal cellular geometry with cluster size K=13.
Consider a hexagonal cellular geometry with cluster size K=13 in Figure 1. Assume shift parameters i and j where j<i. Consider cells in each cluster with size K are denoted as 1, 2, 3, ..., 13. And, the cell labeled with A is cell number 1 in each cluster. Assume that A is the desired cell of concern. (a) Find the values of i and j so that the aforementioned conditions for K are satisfied, i.e., K=13 and j < i. (b) Find all the co-channel cells of cell A (i.e., cell 1 in each cluster) in the first tier and label them with A in Figure 1. (c) Show only one cluster labeled with cells using the notations above, i.e., 1, 2, 3, ..., 13, so that adjacent cells are labeled with no successive numbers to reduce the adjacent channel interference. (d) Find the co-channel cell distance D from the desired cell A for the first-tier co-channel cells only. (e) Also, find the value of C/I in dB, considering only the first-tier co-channel cells, and that the mobile station (MS) is located at a distance equal to the cell radius R away from the desired base station (BS) A. Note that we consider that all cells are center-excited. (f) If a mobile system is launched using the above cellular pattern in Figure 1 with the system bandwidth of 50 MHz and the channel bandwidth of 200 kHz, then find the total number of channels per cell in the system, as well as the capacity of the system (in terms of the number of calls served simultaneously) if the cluster (with size K) is reused 5 times to cover a particular area.
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Transcribed Image Text:Consider a hexagonal cellular geometry with cluster size K=13 in Figure 1. Assume shift parameters i and j where j<i. Consider cells in each cluster with size K are denoted as 1, 2, 3, ..., 13. And, the cell labeled with A is cell number 1 in each cluster. Assume that A is the desired cell of concern. (a) Find the values of i and j so that the aforementioned conditions for K are satisfied, i.e., K=13 and j < i. (b) Find all the co-channel cells of cell A (i.e., cell 1 in each cluster) in the first tier and label them with A in Figure 1. (c) Show only one cluster labeled with cells using the notations above, i.e., 1, 2, 3, ..., 13, so that adjacent cells are labeled with no successive numbers to reduce the adjacent channel interference. (d) Find the co-channel cell distance D from the desired cell A for the first-tier co-channel cells only. (e) Also, find the value of C/I in dB, considering only the first-tier co-channel cells, and that the mobile station (MS) is located at a distance equal to the cell radius R away from the desired base station (BS) A. Note that we consider that all cells are center-excited. (f) If a mobile system is launched using the above cellular pattern in Figure 1 with the system bandwidth of 50 MHz and the channel bandwidth of 200 kHz, then find the total number of channels per cell in the system, as well as the capacity of the system (in terms of the number of calls served simultaneously) if the cluster (with size K) is reused 5 times to cover a particular area.
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