DETERMINING THE TRANSFER FUNCTION OF A DYNAMIC SYSTEM WITH CONSTANT PARAMETERS (OPREDELENIE PEREDATOCHNOI FUNKTSII DINAMICHESKOI SISTEMY S POSTOYANNYMI PARAMETRAMI)
AIR FORCE SYSTEMS COMMAND WRIGHT-PATTERSON AFB OH FOREIGN TECHNOLOGY DIVISION
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It is shown how the method for determining the transfer function of a dynamic system with constant parameters developed by A. N. Sklyarevich Sklyarevich, A. N. Operatornyye metody v statisticheskoy dinamike avtomaticheskikh sistem. Nauka, M., 1965 can be extended to the case when the poles of the transfer function of the system and the Laplace transform of the correlation function of the input signal do not coincide and are of order higher than one. A procedure for determining the cross-correlation function of the input and output signals is presented. This cross-correlation function is used as a basis for deriving a system of algebraic equations for determining the coefficients of the frequency response function and a recurrence formula for their calculation is presented. It is stressed that the results obtained here can be utilized in designing a special-purpose computer for calculating the transfer functions. Two examples illustrate the calculation procedure.
- Statistics and Probability