CONTINUOUS NONLINEAR SYSTEMS
MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS
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A functional representation. which is a generalization of the linear convolution integral, is used to describe continuous nonlinear systems. Emphasis is placed on nonlinear systems composed of linear subsystems with memory, and nonlinear no-memory subsystems. An Algebra of Systems is developed to facilitate the description of such combined systems. From this algebraic description, multidimensional system transforms are obtained. Those transforms specify the system in much the same manner as one dimensional transforms specify linear systems. The system transforms and the transform of the systems input signal are then used to determine the transform of the output signal. Transform theory is also used for determining averages and spectra of the system output when the input is a random signal Gaussianly distributed. Certain theoretical aspects of the functional representation are discussed.
- Operations Research