Introduction to Radar Basics - MATLAB Simulations for Radar Systems Design - page 62

T 1

transmitted
pulses, PRF1

t 1

received pulses
from PRF1 T 2

transmitted
pulses, PRF2

t 2

r eceived pulses
from PRF2

desired PRF

T d = 1 ⁄ f rd

true target

location

t r

Figure 1A.3. Resolving range ambiguity.

t r = MT 1 + t 1

(1A.4)

t r = MT 2 + t 2

and the true target range is

R t r = ⁄ 2 (1A.5)

Now if , then

t 1 > t 2

M
f r 1

M +

f r 2

1

t 1 + ------ = t 2 + --------------

(1A.6)

Solving for we get

M

( t 2 – t 1 ) + T 2

M = ------------------------------- (1A.7)

T 1 – T 2

and the round-trip time to the true target location is

t r 1 = MT 1 + t 1

(1A.8)