Matrix analysis of mildly nonlinear, multipleinput, multipleoutput systems with memory
Abstract
A matrix method of analysis is developed for mildly nonlinear, multipleinput, multipleoutput systems with memory (e.g., nonlinear multiport networks and multichannel communication systems). The method is based on a Volterraseries representation whose kernels are twodimensional matrices rather than multidimensional arrays. This is made possible through the use of the Kronecker product of matrices, which results in a compact formulation. The response of the aforementioned systems to multiple sinusoidal excitations is also studied. Moreover, formulas are given for various system operations (e.g., addition, cascading, inversion, and feedback), which can be used to describe a complex system as an interconnection of simple subsystems.
 Publication:

AT T Technical Journal
 Pub Date:
 November 1982
 Bibcode:
 1982ATTTJ..61.2221S
 Keywords:

 Complex Systems;
 Input/Output Routines;
 Matrices (Mathematics);
 Network Analysis;
 Nonlinear Systems;
 Systems Analysis;
 Communication Theory;
 Control Theory;
 Frequency Response;
 Kernel Functions;
 Multichannel Communication;
 Volterra Equations;
 Electronics and Electrical Engineering