On the Ambiguity Function for Accelerating Target in FMCW Radar

In the paper we are concerned with the FMCW radar detection of an accelerating target, echo of which is buried in an additive white Gaussian noise. For this problem, we derive and analyze three-dimensional generalized ambiguity function for target range, velocity and acceleration. We interpret known properties of this function and obtain new ones. This allows us, for example, to specify resolution and regions of unambiguous velocity and acceleration.