P$3)$ Consider a slow FHSS system using BFSK with where the signal is given by $.$ Suppose your employer asks you to design the system requiring you to use a minimum amount of frequency resource from $10$ MHz and up$.$ The system should use $5$ hops within the band. The two tones in the BFSK must be separated by $1$ MHz$.$ Assume that BFSK bandwidth is and the bit rate is $1$ Mbps$.$ The value of is given by and $,$ where is obviously $1$ MHz$.$ When multiple users share the band, there should be no hit or any overlap for users hopping$$ into different frequencies.$($a$)$ Your first job is to identify the frequency band that you will need for the whole FHSS system,$$ given MHz$,$ and identify the five hop frequencies.$$ That is$,$ if you use frequencies from $10$ MHz to X MHz$,$ what will be the value of $"$X$"?($Note that you can't choose MHz as one of the hop frequencies because you will then fall under $10$ MHz$$ when takes the smaller value$).($b$)$ Consider the transmission of the bit sequence $10110.$ Write down a set random hop frequencies that you will select, and then list the actual transmission frequencies that you will be using to convey those bits. Assume that, in BFSK$,$ the lower frequency is used for a $0$ and the higher frequency is used for a $1.$