On the full and block-decoupling of nonlinear functions |
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Authors: | Philippe Dreesen Mariya Ishteva Johan Schoukens |
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Institution: | Vrije Universiteit Brussel (VUB), Dept. ELEC, Pleinlaan 2, BE-1050 Brussels. |
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Abstract: | We review a method that decouples multivariate functions into linear combinations of a set of univariate (or simpler multivariate) functions of transformed variables. In this way the given nonlinear multiple-input-multiple-output function is decoupled into a structure having simpler parallel internal branches that are linked by linear transformations to the original inputs and outputs. The procedure collects first-order information by evaluating the Jacobian matrix of the given function in a set of points. These matrices are stacked into a three-way tensor, whose decomposition reveals the decoupled representation. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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