Approximation by Exponentials |
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Approximation by Exponentials | 20 |
Approximation Problems | 30 |
Advanced Problems | 55 |
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a₁ a₂ achieved algebraic equations analog of function analytical function approximating function approximating the impulse approximation by exponentials auxiliary function calculated values characteristic equation coefficients in equation computing conditional equations converge correction term defined derived from equation desired profile difference equation differential calculus discrete analog discrete function equation 11 equations is constructed factorial form Figure 12 formulas found with equation function approximating function is given function is presented GAUSSIAN FUNCTION impulse response increment independent variable inflection point initial condition initial point initial segment interpolating function least squares algorithm line in Figure logistic curve multiple root number of points numerical form ordinates polynomial presented in Figure previous Section problem Prony Q₁ Q₂ Q₂R₂ quality of approximation R₁ R₂ rectangle reduced table root variation method Section 13 solution Substituting system of conditional Table 18 table of observations three A-coefficients three exponentials transfer function transient process true values Yn+3 zero Уп