SOME TECHNIQUES FOR THE SYNTHESIS OF NONLINEAR SYSTEMS
Abstract
The systems considered are those that can be characterized by a finite set of Volterra kernels. The approach is to consider the kernels one at a time, by using as basic elements in the synthesis linear systems and multipliers. The author presents a procedure for testing a given kernel transform to determine whether or not the kernel can be realized exactly with a finite number of linear systems and multipliers. The test is constructive. If it is possible to realize the kernel exactly, a realization is given by the test; if it is not possible to realize the complete kernel exactly, but is possible to break the kernel up into several lower degree components, this will also be discovered by the test. An extension to nonlinear systems of the impulse-train techniques of linear system theory is given. He develops properties of sampling in nonlinear systems, in order to facilitate the use of digital techniques in the synthesis of nonlinear systems. Bandlimiting in nonlinear systems is discussed, and delay-line models for bandlimited systems are given. The transform analysis of nonlinear sampled-data systems by means of the multidimensional z-transform is presented. Computation algorithms for input-output computations are given for direct computation from the multidimensional convolution sum, the associated partial-difference equation, and a decomposition of the nonlinear sampled-data system into linear sampled- data systems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 25, 1966
- Accession Number
- AD0634122
Entities
People
- Aubrey M. Bush
Organizations
- Massachusetts Institute of Technology