Determination of the Characteristics of Multi-Input and Nonlinear Systems From Normal Operating Records
Thomas P. Goodman · Transactions of the American Society of Mechanical Engineers · 1957
Abstract A method is presented for discovering, from the random variations in normal operating records, the impulse responses, or weighting functions, relating an output of a system to two or more inputs that are mutually correlated. This method makes use of the statistical autocorrelation and cross-correlation functions of the system inputs and outputs. From these correlation functions, the weighting functions are obtained by a process of deconvolution by means of an electronic delay-line synthesizer. The method is described first for linear systems and is then applied to nonlinear systems. It is an extension of a method presented in an earlier paper for discovering the weighting function of a linear system with one input.