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Math and StatisticsNumerical Mathematics

Z-Transform Techniques for Improved Real-Time Digital Simulation of Continuous Systems: Runge-Kutta Convolutions Adjusted for Unit Step Response via Pole-Residues.

Authors: Richard E. Dickson; ARMY MISSILE COMMAND REDSTONE ARSENAL AL SYSTEMS SIMULATION AND DEVELOPMENT DIRECTORATE
Abstract:
An approximation for ZG(s)F(s) is developed using the second order Runge-Kutta integrator family. The residue for exact unit step response of a single real pole filter is then developed. The error for a complex exponential into a complex pole is also presented. (Author)

Description: Technical rept.
Pages: 23
Report Date: 01 OCT 1980
Report Number: A347490

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Keywords relating to this report:
*APPROXIMATION(MATHEMATICS)
*APPROXIMATION_MATHEMATICS_
*CONVOLUTION INTEGRALS
*INTEGRAL TRANSFORMS
*LAPLACE TRANSFORMATION
*NUMERICAL INTEGRATION
*NUMERICAL METHODS AND PROCEDURES
*RUNGE KUTTA METHOD
*TRANSFORMATIONS(MATHEMATICS)
*TRANSFORMATIONS_MATHEMATICS_
COMPUTERIZED SIMULATION
DIGITAL SIMULATION
REAL TIME
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