Title :
The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis
Author_Institution :
Sch. of Comput. & Commun. Sci., Swiss Fed. Inst. of Technol. Lausanne
Abstract :
The work generalizes the composition rule for single-input-single-output Volterra operators to the multivariate case applying the Kronecker product formalism. The formalism allows a compact description of the composition of such operators. The composition of multivariate functions is briefly discussed and represents the starting point of the analysis. Based on the derived composition rule, a novel nonlinear generalization of the classical modified nodal analysis (MNA) is introduced, namely the multilinear MNA. It allows to automatically extract the higher order frequency domain Volterra kernels of a weakly nonlinear analog circuit and just involves sparse matrix multiplications and Kronecker products
Keywords :
Volterra series; frequency-domain analysis; matrix algebra; nonlinear network analysis; Kronecker products; circuit analysis; composition rule; higher order frequency domain Volterra kernels; multilinear modified nodal analysis; multivariate Volterra operators; multivariate functions; nonlinear generalization; single-input-single-output Volterra operators; sparse matrix multiplications; weakly nonlinear analog circuit; Analog circuits; Circuit analysis; Circuit analysis computing; Hardware; Harmonic distortion; Kernel; Nonlinear circuits; Nonlinear distortion; Predistortion; Transceivers;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.378558
