Fast and Guaranteed Blind Multichannel Deconvolution Under a Bilinear System Model

We consider the multichannel blind deconvolution problem where we observe the output of multiple channels that are all excited with the same unknown input. From these observations, we wish to estimate the impulse responses of each of the channels. We show that this problem is well-posed if the chann...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 64; no. 7; pp. 4792 - 4818
Main Authors:	Lee, Kiryung, Tian, Ning, Romberg, Justin
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.07.2018 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Asymptotic methods Blind deconvolution Channel estimation Channels Computational geometry Convexity Convolution Deconvolution eigenvalue decomposition Eigenvalues Eigenvalues and eigenfunctions Eigenvectors Empirical analysis Estimates Iterative methods Mathematical analysis Mathematical model Mathematical models Matrix methods Model accuracy non-convex optimization Optimization Quadratic equations sensitivity analysis Signal processing algorithms Well posed problems
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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