Frequency domain multichannel blind deconvolution using adaptive spline functions

An architecture for multichannel blind deconvolution in the frequency domain is presented. It is based on a complex-domain non-linear function, built with two spline functions, one for the real and one for the imaginary part, whose control points are adaptively changed using gradient-based techniques. B-spline functions are used since they allow us to impose only simple constraints on the control parameters in order to ensure the needed monotonously increasing characteristic. In the paper the adaptation rules for both the un-mixing matrix and the spline control points are also derived. Some experimental results that demonstrate the effectiveness of the proposed method are presented.