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Blind deconvolution of a Hermitian and a non-Hermitian function

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Abstract

Blind deconvolution is the problem of recovering two functions from their convolution. We treat the blind-deconvolution problem under restricted conditions that the components of the convolution are Hermitian and non-Hermitian functions and that the support of the non-Hermitian function is known. This problem is solved by combining a method for retrieving the Fourier phase of the non-Hermitian function from a convolution with a phase-only reconstruction algorithm. The characteristic of the combined method is that the uniqueness property of its solution is understood from the theory of analytic functions. A number of results obtained from computational implementation are also presented.

© 1991 Optical Society of America

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