Model reduction and wideband analysis (underwater acoustic application)

Exact model reduction methods are extended to wideband analysis. After a review of the realization methods in the underwater acoustic context, it is shown that the optimal realization method is very well suited to the wideband analysis, because of the rational modeling. The basic steps of the proposed method are a multidimensional AR (autoregressive) modeling of the sensor outputs, spatial interpolation, and model reduction of a unique model for the frequency band of analysis. It is important to note that this method uses no prior assumption about source locations or source models. Moreover, this method inherits the robustness with regard to spatial noise coloration from its narrowband version. Simulation results demonstrate the resolution and detection improvements achieved by the method.<>