The Multichannel
Deconvolution Problem: A
Discrete Analysis |
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Authors: | Email author" target="_blank">Flavia?ColonnaEmail author Email author" target="_blank">Glenn R?EasleyEmail author |
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Institution: | (1) George Mason University, 4400 University Drive, Fairfax, VA 22030, USA;(2) System Planning Corporation, 1000 Wilson Blvd. Arlington, VA 22209, USA |
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Abstract: | We study the multichannel deconvolution problem (MDP) in a discrete setting by
developing the theory for converting the method used in the continuous setting in 36]. We give a
method for solving the MDP when the convolvers are characteristic functions, derive the explicit
form of the linear system, and obtain an upper bound on the condition number of the system in a
particular case. We compare the Schiske reconstruction 28] to our solution in the discrete setting,
and give an explicit formula for the corresponding error. We then give the algorithm for solving
the general MDP and discuss in detail the local reconstruction aspects of the problem. Finally,
we describe a method for improving the reconstruction by regularization and give some explicit
estimates on error bounds in the presence of noise. |
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Keywords: | |
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