Estimating function approach to multichannel blind deconvolution

In this paper we study convergence and efficiency of the batch learning based on estimating functions for blind deconvolution. First the blind deconvolution problem is formulated in the framework of a semiparametric model, and a family of estimating functions is derived for blind deconvolution. Convergence rate of the batch estimator based on the estimating equation is then obtained. Superefficiency of the batch learning is proven in this framework.