## Approximation by Exponentials |

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### Contents

Interpolation by Exponentials | 1 |

Approximation by Exponentials | 20 |

TV Approximation Problems | 30 |

Copyright | |

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### Common terms and phrases

A0yn achieved analog of function analytical function approximating function approximating the impulse approximation by exponentials assumed calculated values characteristic equation coefficients 13 coefficients in equation complete table computing conditional equations constant term constraints converge correction term defined derivative function determined difference equation discrete analog discrete function equation 11 equations is constructed Figure 12 formulas function approximating function is given GAUSSIAN FUNCTION impulse response increment independent variable inflection point initial conditions initial point initial segment interpolating function introduced least squares algorithm line in Figure logistic curve method of approximation multiple root number of exponentials number of points numerical form numerical values ordinates original table previous Section problem of approximation Q-coefficients quality of approximation random numbers rectangle reduced table root variation method roots of system Section 13 solution sought Substituting these coefficients system of algebraic system of conditional Table 18 table of observations transient process true values xmax yn+3