Wavefield Modeling and Array Processing, Part 11-Algorithms
Miriam A. Doron, E. Doron · 1994
This is the second in a series of three papers dealing with the application of wavefield modeling to array processing. We present several novel algorithms for array pro- cessing, as well as extensions of existing methods based on this approach. We first consider the problem of localization of wideband sources via coherent processing, and show how wavefield modeling enables us to derive expressions for the fRqUenCy t~anSfOrmatiOn (focusing) matrices. This method is extended to three dimensions and to sector processing. We then develop computationally efficient implementations of MUSIC incoherent wideband cases, as well as a natural extension of Root-MUSIC to any 2-D array. In addition, wavefield modeling allows us for the first time to extend Root-MUSIC to 3-D arrays and wavefields. We also present a low complexity variant of Root-MUSIC for direction finding within a limited angular sector. Finally, we derive a low-dimensional sufficient statistic and reduced rank processing schemes for the case of oversampled arrays and/or limited angular sector scenarios. decomposition of the array manifold ay