Model-based cepstral analysis for ultrasonic non-destructive evaluation of composites

The use of model-based cepstral features has been shown as an effective characterization of damaged materials tested with ultrasonic non-destructive evaluation (NDE) techniques. In this work, we focus our study on carbon-fiber reinforced polymer plates and show that the use of signal models with physical meaning can provide a cepstral representation with a high discriminative power. First, we introduce a complete digital signal model based on a physical analysis of wave propagation inside the plate. The resulting model has several drawbacks: a high number of parameters to estimate and the difficulty of expressing it as a classical rational transfer function, which does not allow a model parameter estimation through classical least-squares signal modeling techniques. In order to overcome these problems, we propose two simplifications of the physical model also based on a mechanical analysis of the system. We carry out a set of damage recognition experiments showing that cepstra extracted from these models are more discriminative than other previously used methods such as the LPC cepstrum (all-pole model) or a simple FFT cepstrum.