Nonlinear System Characterization and Optimization
- 1 May 1959
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 6 (5) , 30-40
- https://doi.org/10.1109/TCT.1959.1086607
Abstract
The characterization and optimization of nonlinear systems is considered from the function space point of view. The design of nonlinear systems is regarded as the problem of mapping the function space of the past of the input onto a line that corresponds to the amplitude of the filter output. An orthogonal functional representation for a system is shown to result from any mapping which partitions this space into nonoverlapping cells. The complication of solving for optimum systems in terms of measured higher order statistics is circumvented by formulating the problem so that particular statistical measurements directly yield the optimum systems.Keywords
This publication has 1 reference indexed in Scilit:
- Synthesis of Electric Networks by Means of the Fourier Transforms of Laguerre's FunctionsJournal of Mathematics and Physics, 1932