Accession Number : AD0780535

Title :   A Scattering Variable Approach to Nonlinear Systems.

Descriptive Note : Technical rept. 1 Jul 72-1 Jul 73,

Corporate Author : SYRACUSE UNIV N Y

Personal Author(s) : Naditch,Gerald Harvey

Report Date : MAY 1974

Pagination or Media Count : 214

Abstract : A new mathematical model is developed which extends Volterra series analysis of nonlinear systems with memory to high-frequency systems, including those containing linear, passive, distributed component devices. Scattering variables, described by a linear transformation of voltage and current in lumped circuits, and by incident and reflected waves in distributed circuits, are used as fundamental quantities in Volterra functional series. A set of nonlinear Volterra scattering kernels results describing the output signal behavior of the system. The frequency-domain Volterra kernels, which can be interpreted as generalized response functions, are analogous to linear scattering parameters. They can be used to describe power transfer and distortion measures of nonlinear multi-ports. In particular, when the input signal amplitudes are small, the nth order harmonic component in the output signal can be closely approximated by evaluating a single kernel. (Modified author abstract)

Descriptors :   *Circuits, *Signal processing, *Nonlinear systems, Volterra equations, Waveform generators, Transmission lines, Tunnel diodes, Transistor amplifiers, Matrices(Mathematics), Mathematical models

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE