The Radar Ambiguity Function - MATLAB Simulations for Radar Systems Design - page 190

Note that the time autocorrelation function of the signal s () is equal to

χτ; ( ) . Similarly, the cut along the Doppler axis is

sin
πτ' f d

πτ' f d

2

) 2

χ 0 f d ( ; =

-------------------

(4.12)

Figs. 4.3 and 4.4, respectively, show the plots of the uncertainty function
cuts defined by Eqs. (4.11) and (4.12). Since the zero Doppler cut along the
time delay axis extends between – τ' and τ' , then, close targets would be

unambiguous if they are at least τ' seconds apart.

amplitude

– '

τ'

τ

Figure 4.3. Zero Doppler uncertainty function cut along the time delay axis.

Figure 4.4. Uncertainty function of a single frequency pulse (zero delay). This
plot can be reproduced using MATLAB program Ðfig4_4.mÑ given
in Listing 4.3 in Section 4.6.