Multichannel Blind Deconvolution of Transient Impulsive Signals

Transient impulsive signals concentrate their energy in a short time interval. Impact force signals show this behaviour and play an important role in the study in mechanical systems. Measuring impact forces directly is not always possible and much research has been done in the last decades to develop indirect measuring techniques, which address the inverse problem of estimating the impact force time-history from the responses of the impacted structure. In the literature, most methods perform this difficult task in two steps: First the dynamical properties of the structure are identified and then an inversion procedure is applied to estimate inputs from outputs. However, when the impact location is unknown this approach may not be valid and blind deconvolution techniques must be used. Here, we fully develop a deterministic subspace method for blind deconvolution in a single-input multiple-output (SIMO) environment that does not impose any restrictions on the excitation signals or the impulse response of the propagation channels, apart from finite length and channel diversity