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X-Parameters by Jason Horn, Jan Verspecht, David E. Root

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Appendix B: X-parameters and Volterra theory

B.1 Introduction

This appendix describes the theoretical derivation of the properties of the X-parameter functions for a small A1,1 amplitude. The theory is based on the assumption that the modeled behavior can be described by the Volterra theory in the limit for the amplitude of A1,1 going to zero. The theory shows that the frequency-domain version of the Volterra theory can be considered as a McLaurin series polynomial approximation of the X-parameters.

B.2 Mathematical notation and problem definition

For clarity, the mathematical notation that is used is recalled in the following:

Ap,h   the spectral component with harmonic index “h” of the incident wave at port “p
Bp,h   the spectral component with ...

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