Semiparametric Approach to Multichannel Blind Deconvolution of Nonminimum Phase Systems

Part of Advances in Neural Information Processing Systems 12 (NIPS 1999)

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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.