## Multichannel Blind Deconvolution: Fir Matrix Algebra And Separation Of Multipath Mixtures (1996)

Citations: | 73 - 0 self |

### BibTeX

@MISC{Lambert96multichannelblind,

author = {Russell H. Lambert and Copyright Russell and H. Lambert and Sam Heidari and Panagiotis Tsakalides and Ece Saygun},

title = {Multichannel Blind Deconvolution: Fir Matrix Algebra And Separation Of Multipath Mixtures},

year = {1996}

}

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### OpenURL

### Abstract

A general tool for multichannel and multipath problems is given in FIR matrix algebra. With Finite Impulse Response (FIR) filters (or polynomials) assuming the role played by complex scalars in traditional matrix algebra, we adapt standard eigenvalue routines, factorizations, decompositions, and matrix algorithms for use in multichannel /multipath problems. Using abstract algebra/group theoretic concepts, information theoretic principles, and the Bussgang property, methods of single channel filtering and source separation of multipath mixtures are merged into a general FIR matrix framework. Techniques developed for equalization may be applied to source separation and vice versa. Potential applications of these results lie in neural networks with feed-forward memory connections, wideband array processing, and in problems with a multi-input, multi-output network having channels between each source and sensor, such as source separation. Particular applications of FIR polynomial matrix alg...