Reciprocating machines are difficult to diagnose using traditional fre
quency domain techniques because they generate predominantly transient
vibrations which have a broad frequency content. We have found that t
ransient vibrations, like those generated by valve impacts in a recipr
ocating compressor, are best analysed in the time-domain. Unfortunatel
y, by the time the vibrations reach the surface of the machine where w
e can measure them non-invasively, reverberation and dispersion have d
isfigured them so that they look nothing like their originating forces
. In order to convert them into a useful form, where they can be chara
cterized in terms of timing and strength on a cycle-by-cycle basis, th
e vibration signal can be compressed by filtering it with the inverse
of the structural transfer function. This is a straightforward process
if the exact transfer function is known; however, in practice we expe
ct to have simply a 'typical' transfer function from a nominally ident
ical machine. Additional transfer function variability results from ch
anges in machine operating conditions such as temperature and load. Th
e inverse-filtering process can be made robust to transfer function va
riability through a combination of cepstral-smoothing and minimum-phas
e processing. In addition, if a cepstral comb window is incorporated i
nto the signal processing scheme, multiple impact signatures can be re
moved. (C) 1995 Academic Press Limited