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Re: inharmonic partials

You might want to have a look at Prony method.
More accurate than a Fourier transform, and the decay parameter is already
in the model.

A reference that comes to my mind is :
Laroche "A new analysis/synthesis system of musical signals using Prony
method. Application to heavily damped percussive sound." ICASSP 1989

You could also check
R. Boyer and K. Abed-Meraim, "Audio transient modeling by the Damped &
Delayed Sinusoid (DDS) model", Proc. of IEEE Int. Conf. on Acoustics,
Speech and Signal Processing (ICASSP), Orlando, USA, May 2002

It's all about transients in musical signals, but I guess any type of
impact audio signals with inharmonic and highly non-stationary partials
would fit.

Fabien Gouyon
Music Technology Group IUA-UPF Barcelona
tel : (00 34) 93 542 28 64