Summary of the problem

 

 

 

 

 

 

Cell tower memo

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Effective communication is essential for a modern and upcoming estate. When there lacks a proper line of sight between the base station (cell tower of the service provider) and the end users (mobile clients), communication is hindered. In this scenario, the ACME wireless communications Inc. is facing complaints from the customers due to poor communication services often leading to breakdown of GPS services once the clients steer from the line of sight. Coverage is a challenge that will be addressed in this memo in an attempt of designing the cell tower appropriately to increase the provision of service and thus reduce the number of customer complaints. The solution provided is based on the assumption that both the uplink and downlink follow the same path in the event that electromagnetic field flows in both directions. The essence of the design is to maximize coverage at a reduce cost. Therefore, different models will be evaluated to determine the most suitable one. To achieve this, several parameters are to be taken into account among them the density distribution of the subscribers of the service. The population density distribution of the subscribers enables an estimation of the expected earnings per geographic section. The comparison of the best design will be based on the profit generated for a given period.

Discussion

In providing a solution to the above problem, there are some assumptions that hold true. For example, from the sender to the receiver (base station to the mobile) signal propagation is inherent.  The frequency of the cell is 850 MHz resulting to a wavelength of 0.3529 m. the tower is considered to be 250 ft. high which is equivalent to 76.2 m. the following equation is also utilized to calculate the path loss in dB: . In the equation, d represents the distance between the base station and the antennae. Since this is a slanting distance, the Pythagoras theorem holds true in the calculation of d.  The equation a2+b2=c2 holds true where b is the distance from the foot of the tower to the antennae and a is the height of the tower. With a frequency of 850 MHz and a wavelength of 0.3529 m, the expected strength of the signal in terms of speed or velocity may be calculated as follows;

V=λ F

V=850*0.3529

=299.965m/s.

Since the distance d is given as a variable, different numbers can be varied to determine the cost. The path loss can be calculated with the variations of d as either 8000m, 6500m, 6000m, 5000m, 3000m or 1000m spanning from areas 1 to area 7. Therefore, the resultant path loss may be as follows:

And d is replaced by the above variables.

Replacing d with 8000 L results to 109.093. This value will be applied in the first case for area 1.

The variables for the link budget for the design for area 1 with 8000 m are summarized in the chart below

In this design option, utilizing the ACME X7468C Gain gives the maximum benefits of approximately $12000. The next option chosen is the furthest extreme of close to area 7 and the results obtained are tabulated in sheet two and shown in the graph.

From the two extremes the changes are minimal and almost undetected which means that placing the tower at the center will serve the entire locality and reap maximum benefits for the business. Therefore, the final placement of the tower is as below. In conclusion, it is paramount to set a rational distance to serve all the subscribers. In this case, placing the tower at the center ensures concise distribution of the network across all the subscribers.