estimate damping factor of waveform

Gents, I have got some waveforms in time domain out of oscilloscope. each waveform has different shapes and frequency contents with multiple peaks.I need damping factor for each peak to be estimated. I don't have transfer function equation and don't have parameters. I need to estimate the damping ratio from the waveform oscillations shape only. Appreciate your kind assistance.

Best Regards, Hosam