Liqing Zhang, Shun-ichi Amari, Andrzej Cichocki
In this paper we discuss the semi parametric statistical model for blind deconvolution. First we introduce a Lie Group to the manifold of non(cid:173) causal FIR filters. Then blind deconvolution problem is formulated in the framework of a semiparametric model, and a family of estimating functions is derived for blind deconvolution. A natural gradient learn(cid:173) ing algorithm is developed for training noncausal filters. Stability of the natural gradient algorithm is also analyzed in this framework.