Just solve #$8$ knowing $7$a is $12$khz $7$b is $60$khz and $7$c is $5.$

Consider a pulse$-$to$-$pulse staggered PRF system using a series of $P=3$ PRFs$,$ namely, $\{10kHz,12kHz,15kHz\}.$

a$.$ What is the first blind Doppler frequency, $f_{us},$ of a constant PRF system having the same average PRI as the staggered system?

b$.$ What is the first blind Doppler frequency, $f_s,$ of the staggered system?

c$.$ What is the ratio $\frac{f_s}{f_{us}}$ of the first blind Doppler frequency of the staggered system to the first blind speed of a system having a PRF corresponding to the average PRI?

For the same staggered PRF system of problem $7$:

a$.$ What is the maximum unambiguous range, $R_{us},$ corresponding to the average PRI from problem $7?($This would be the unambiguous range of a constant PRI system that used the same amount of time to collect $N$ pulses as the staggered PRF system.$)$

b$.$ For the three PRFs in problem $7,$ what is the minimum unambiguous range $R_{\text{m}\text{i}\text{n}}?$ Hint: this will be the shortest of the unambiguous ranges corresponding to the individual PRFs$.($This will be the unambiguous range of the staggered PRF system.$)$

c$.$ What is the factor by which the range coverage $($unambiguous range$)$ is reduced in the staggered PRF system $($part b$)$ relative to the unstaggered system $($part a$)?$ Compare this with the factor predicted by equation $(17\mathrm{.}15).$

d$.$ Compare the total unaliased range$-$Doppler coverage $($product of unambiguous range and velocity$)$ for the staggered and unstaggered cases.