I need help with two tasks in mathematica
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Description
Experience Level: Intermediate
Task 1
The organizer of a music concert wants to provide WLAN access for the participants at the concert. The concert area is almost round, so the organizer decides to place one access point in the middle of the area. The organizer wants to know how large percentage of the users receive a signal which is strong enough, given that trees and small buildings are shading the area. How large should the transmitted power be so that 90% of the users receive a good signal? Analyze this problem numerically by writing your own simulator with the help of the following models:
The area of the concert is assumed to be circular, with radius 200m
The access point transmits with an omnidirectional antenna with 0dBi
The power attenuation (path gain) can be modeled in dB as:
G=Gdist+Gfading
where Gdist = c0 - alpha*10log10(d) is the distance dependent component of the path gain, C0=-22dB, alpha=3.5 and Gfading = N(mu,sigma) is the shadow fading component, mu=0dB and sigma = 4dB.
The received carrier power should be at least Pmin= -70dBm, otherwise the connection is broken and the user can not be served.
CircularDistribution can be used to generate points uniformly distributed in a circular disk. Use this in order to generate the position of the users, compute distance dependent component of the path gain model, then generate a lognormal distruted variable to model the fading. Compute the total path gain between the access point and each user. Fint the transmission power so that 90% users have a received power equal to or larger than Pmin.
The job has to be done before tomorrow night so please answer me quick.
The organizer of a music concert wants to provide WLAN access for the participants at the concert. The concert area is almost round, so the organizer decides to place one access point in the middle of the area. The organizer wants to know how large percentage of the users receive a signal which is strong enough, given that trees and small buildings are shading the area. How large should the transmitted power be so that 90% of the users receive a good signal? Analyze this problem numerically by writing your own simulator with the help of the following models:
The area of the concert is assumed to be circular, with radius 200m
The access point transmits with an omnidirectional antenna with 0dBi
The power attenuation (path gain) can be modeled in dB as:
G=Gdist+Gfading
where Gdist = c0 - alpha*10log10(d) is the distance dependent component of the path gain, C0=-22dB, alpha=3.5 and Gfading = N(mu,sigma) is the shadow fading component, mu=0dB and sigma = 4dB.
The received carrier power should be at least Pmin= -70dBm, otherwise the connection is broken and the user can not be served.
CircularDistribution can be used to generate points uniformly distributed in a circular disk. Use this in order to generate the position of the users, compute distance dependent component of the path gain model, then generate a lognormal distruted variable to model the fading. Compute the total path gain between the access point and each user. Fint the transmission power so that 90% users have a received power equal to or larger than Pmin.
The job has to be done before tomorrow night so please answer me quick.
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9 May 2024
Sweden
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