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Mathematical foundations of frequency‐domain modeling of nonlinear circuits and systems using the arithmetic operator method
Author(s) -
Hart Frank P.,
Stephenson Daniel G.,
Chang ChaoRen,
Gharaibeh Khaled,
Johnson Robert G.,
Steer Michael B.
Publication year - 2003
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.10108
Subject(s) - frequency domain , electronic circuit , nonlinear system , operator (biology) , convolution (computer science) , arithmetic , microwave , domain (mathematical analysis) , mathematics , electronic engineering , computer science , algorithm , algebra over a field , telecommunications , engineering , mathematical analysis , electrical engineering , pure mathematics , artificial intelligence , physics , chemistry , repressor , quantum mechanics , artificial neural network , transcription factor , biochemistry , gene
The arithmetic operator method (AOM) is a method for performing arithmetic operations on one or more signals that are described by their spectra. By extension, any analytic functional operation on the signals can be performed in the frequency domain using matrix‐vector operations. The mathematical foundation of AOM is presented as a numerically efficient convolution‐like procedure in this article. It is directly applicable to the behavioral modeling of nonlinear RF and microwave circuits and systems. © 2003 Wiley Periodicals, Inc. Int J RF and Microwave CAE 13, 473–495, 2003.