NONLINEAR OPERATORS FOR SYSTEM ANALYSIS
Abstract
The method of functional iteration as a means for solving nonlinear feedback equations is applied to a variety of feedback problems. Equations are written in terms of an operator algebra extracted from functional analysis and solved by geometric iteration. This method leads to a means of bounding the output in terms of the system loop gain, and to a procedure for synthesizing systems out of iterative physical structures. The theory is applied to the construction of an explicit model for the nonlinear distortion of a feedback amplifier, and to the proof of a theorem that states that a bandlimited signal having the width of its spectrum expanded by an invertible, nonlinear, no-memory filter can be recovered from only that part of the filtered signal which lies within the original passband; a filter for recovering the original signal is derived. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 25, 1960
- Accession Number
- AD0270735
Entities
People
- George Zames
Organizations
- Massachusetts Institute of Technology