A target acquisition system includes a transmitter configured to emit a plurality of pulses at a plurality of transmit times toward a target, a receiver configured to detect a plurality of photon arrival events at a plurality of receive times, and a processor configured to determine a range of the target and a range-rate of the target by identifying a subset of the receive times and a subset of the transmit times, generating scaled transmit times based on the subset of the transmit times and a plurality of trial target velocities relative to the receiver, cross-correlating the scaled transmit times and the subset of the received times to generate a plurality of cross-correlation power values, and calculating the range and the range-rate of the target based on the plurality of cross-correlation power values.