Summary: This study focuses on an algorithm for the simultaneous identification of Coulomb and viscous damping effects from free-vibration decrements in a damped linear single degree-of-freedom mass-spring system. Analysis shows that both damping effects can be separated. Numerical study of a combined-damping system demonstrates a perfect match between the simulation parameters and the estimated values. The method is applied to an experimental industrial bearing. An analysis provides conservative bounds on error estimates. Additionally, we include an example of the effect of quantization error on the error estimations.