Adaptive recursive algorithms for image restoration and array processing

An iterative regularized pseudoinverse (RPI) algorithm for restoring a linearly degraded image in the presence of noise is described. The array processing problem is recast into such a form that the iterative RPI algorithm can be used to compute the array weight vector recursively. This is done by absorbing the linear constraint vector into the array weight vector using a projection matrix. The convergence rate of the algorithm is very fast, and it is capable of resolving fully coherent sources. The performance of the algorithm is demonstrated through numerical examples