Part 7/9:
The velocity resolution depends on how many pulses are transmitted ((M)), the pulse repetition frequency ((PRF)), and the total observation time. The minimum detectable difference in velocity ((\Delta v)) can be approximated by:
[ \Delta v \approx \frac{\lambda \times PRF}{2M} ]
Trade-Off:
Improving velocity resolution (detecting smaller speed differences) requires transmitting more pulses or increasing the observation time, which can negatively impact other system parameters like maximum detectable range.
The Trade-offs: Balancing All Parameters
While the equations provide paths to optimize each resolution type independently, in practice, engineering constraints mean adjustments to one aspect often impact others.