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Problem 1. Plot the probability of false alarm given threshold voltage, Vt, from 0.1 to 100...

Problem 1. Plot the probability of false alarm given threshold voltage, Vt, from 0.1 to 100 mV given a noise voltage variance of 0.2 mV.

Problem 3. Given the statistics in problem 1, find the threshold necessary to set the probability of false alarm equal to 10-4.

Problem 4. Find the signal to noise ratio for a target that results in probability of detection equal to 0.9 (90%) given the system in problem 1 and the threshold found in problem 3.

Problem 5. What should the threshold be to improve the probability of detection to 0.98 (98%) given the system in problem 4? Then calculate the probability of false alarm at that threshold.

Problem 6. Repeat problems 3, 4 and 5 but use a noise voltage variance of 0.4mV.

Problem 7. Repeat problem 4 using a 11-cell CFAR algorithm across range bins. Assume the radar has 1000 range bins and the target is in bin 50.

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