Markov modeling of transient scattering and its application in multi-aspect target classification
Transient scattered fields from a general target are composed of wavefronts, resonances and time delays, with these constituents linked to the target geometry. A classifier applied transient scattering data requires a statistical model for such fundamental constituents. A Markov model is employed to characterized the transient scattered fields - for a set of target-sensor orientation over which the transient scattering is stationary - utilizing a wavefront, resonance, time-delay "alphabet". The Markov model is utilized in a classifier developed for multi-aspect transient scattering data, with a hidden Markov model (HMM) employed to address the generally non-stationary nature of the multi-aspect waveforms. Each state of the HMM is characteristic of a set of target-sensor orientations for which the scattering statistics are stationary, the statistics of which are characterized via the aforementioned Markov model. The wavefront, resonance and time-delay features are extracted via a modified matching-pursuits algorithm.
