I am performing some simulations for FMCW radar for target detection. I am working with a dechirp on receive system. Therefore, the target distance can be determined from the Intermediate Frequency or beat frequency.
Fbeat = Chirp_Rate x 2 x Target_Dist / c$$F_{beat} = \frac{\text{rate}_{\text{chirp}} \cdot 2 \text{dist}_{\text{target}}}{c}$$
I realised that the maximum theoretical distance that can be detected by the radar is determined by Fs$F_s$ (sampling frequency). What is the relationship between the two? Is there a particular formula or concept that links both parameters?