Range tracking, a traditional part of the radar/sonar range gating technique, requires a fully adaptive however simple target predictor. Under the constant velocity (CV) assumption, one can apply an adaptive gain form of the α-β filter based on the recursive prediction error method. The adaptive α-β terms tend to the Kalman gain and remain nearly optimal with a minor degradation caused by the parameter misadjustment noise. An extended variant of the filter allows, in addition to the CV form, both the polynomial and stochastic signals. The adaptive tracker improves the sensor bandwidth and allows more accurate range gating.