Introduction to Radar Basics - MATLAB Simulations for Radar Systems Design - page 65

invalid since cannot be true either. Finally, if we choose f d 1 = 18 KHz

we get , which is an acceptable value. It follows that the n 1 = 2 f d 1 = 3 KHz

minimum that may satisfy the above three relations are , n 1 , n 2 , n 3 n 1 = 2

, and . Thus, the apparent Doppler frequencies are

n 2 = 1 n 3 = 1

, , and .

f d 1 = 3 KHz f d 2 = 15 KHz f d 3 = 12 KHz

f r 1

f d 1

KHz

3 5 10 15 20 25 30 35

f d 2

f r 2

KHz

18

5 10 15 20 25 30 35

f r 3

f d 3

KHz

5 10 15 20 25 30 35 12

Now for the second part of the problem. Again by using Eq. (1A.14) we have

n 1 f r 1 + f d 1 == f d 15 n 1 + 8

n 2 f r 2 + f d 2 == f d 18 n 2 + 2

n 3 f r 3 + f d 3 == f d 21 n 3 + 17