On the Realization of Impulse Invariant Bilinear Volterra Kernels

Phillip M. S. Burt; José Henrique de Morais Goulart

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arXiv · 2107.06144

On the Realization of Impulse Invariant Bilinear Volterra Kernels

Phillip M. S. Burt·José Henrique de Morais Goulart

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Abstract

As previously shown, the direct extension of the impulse invariance principle to Volterra kernels has to be modified in order to provide a condition for the exact modeling of mixed-signal chains. At first sight this would seem to seriously complicate the otherwise simple discrete-time realization of separable kernels (among which bilinear kernels are of particular importance). We show here, however, that this not the case. By defining a cascade operator, the structure of a generalized impulse invariance can be unveiled, leading to a realization without an inordinate increase in computational complexity.

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Phillip M. S. Burt, José Henrique de Morais Goulart. 2021-07-12. On the Realization of Impulse Invariant Bilinear Volterra Kernels. https://arxiv.org/abs/2107.06144

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