Relationship Between Nyquist Velocity and Unambiguous Range

We can now find a relationship between the nyquist velocity (Vmax) and the unambiguous range (Rmax).

Recall that:

(1)

Also recall from way back:

(2)

Eliminating the PRF from (1) and (2) gives:

So, to increase the nyquist interval, one must decrease the unambiguous range and vice versa.