You are asked to perform a link budget analysis for a LoRa $($long range$)$ wireless network. LoRa systems typically trade off range for speed. The system is to operate in the $433$ MHz band. $1.$ The spreading factor $($SF$)$ is one parameter that affects the range and data rate of the system. Using the sensitivity calculator found here $($https:$//$www$.$rfwireless$-$world.com$/$calculators$/$LoRa$-$Sensitivity$-$Calculator.html$)$ determine the longest and shortest range possible with this technology, assuming that the transmit power is $20$ dBm and the antennas have a gain of $0$ dB and that no noise is introduced by the system. At what bandwidths and spreading factors do these occur? $2.$ If the received signal varies randomly from $+1$ dB to $-12$ dB due to multipath, what will be the ranges where the system becomes intermittent $($can still communicate but not consistently$)$ for the $2$ cases found in $1.1.$ If the range you found in $1$ is to be doubled, what changes to the initial design$/$parameters would you propose? Explain why you think this is the best method for doubling the range of the system.You are asked to perform a link budget analysis for a LoRa $($long range$)$ wireless network. LoRa systems typically trade off range for speed. The system is to operate in the $433$ MHz band. $1.$ The spreading factor $($SF$)$ is one parameter that affects the range and data rate of the system. Using the sensitivity calculator found here $($https:$//$www$.$rfwireless$-$world.com$/$calculators$/$LoRa$-$Sensitivity$-$Calculator.html$)$ determine the longest and shortest range possible with this technology, assuming that the transmit power is $20$ dBm and the antennas have a gain of $0$ dB and that no noise is introduced by the system. At what bandwidths and spreading factors do these occur? $2.$ If the received signal varies randomly from $+1$ dB to $-12$ dB due to multipath, what will be the ranges where the system becomes intermittent $($can still communicate but not consistently$)$ for the $2$ cases found in $1.1.$ If the range you found in $1$ is to be doubled, what changes to the initial design$/$parameters would you propose? Explain why you think this is the best method for doubling the range of the system.