Radar Numericals-2Q1.The average time between false alarms is specified as 30 min and the receiver bandwidth is 0.4MHz.

a. What is probability of false alarm?b. What is threshold-to-noise power ratio?c. Repeat (a) and (b) for an average false alarm time of one year

(8760 h).d. Assume the threshold-to-noise power ratio is to be set to

achieve a 30-min false alarm time, but for some reason, the threshold is actually set lower by 0.3 dB than the value found in (b).What is the resulting average time between false alarms with the lower threshold?

e. What would be the average time between false alarms if the threshold were to increase by 0.3 dB?

f. Examine the two values of threshold-to-noise ratio you have calculated in (d) and (e) and comment on the practicability of precisely achieving a specified value of false alarm time.

Q2. A radar has a bandwidth B=50 kHz and and average time between false alarms of 10 min.

a. What is the probability of false alarm?b. If the prf were 1000 Hz and if the first 15 nmi of range were

gated out ( receiver is turned off) because of the use of a long pulse, what would be the new probability of false alarm? (Assume the false alarm time has to remain constant)

c. Is the difference between (a) and (b) significant?d. What is the pulse width that results in a minimum range of 15

nmi?

Q3. A radar at a frequency of 1.35 GHz has an antenna of width D=32 ft, a maximum unambiguous range of 220 nmi and an antenna scan time of 10 s.

a. What is the number of echo pulses per scan received by the radar from a point target? (use relation B=1.2D)

b. What is the integration loss and integration improvement factor when the probability of detection is 0.9 and probability of false alarm is

10-4?

Q4. A radar measures an apparent range of 7 nmi when prf is 4000 Hz , but it measures an apparent range of about 18.6 nmi when the prf is 3500 Hz. What is the true range (nmi) ?