## Analog Differentiation for Control SystemsDepartment of Aeronautics and Astronautics, Stanford University., 1963 - Automatic control - 84 pages |

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AC components Analog Computation analog derivative circuits analog differentiation approach approximate derivative circuit circuit given coefficients listed constant Control Input corner frequencies DETERMINING POLE LOCATIONS differentiate a Fourier equation Fejer sum formula Four-Leg Derivative Circuit four-pole derivative Fourier Series given in Fig Graduate Division Hence higher frequencies imately input signal integrating amplifier Lanczo's LEG DERIVATIVE CIRCUIT listed by Bickley LOW FREQUENCY ASYMPTOTES Low-Frequency Asympotes mathematical approximations McGraw Hill Book noise ratio Output of Circuits overall circuit gain parameters are chosen passed without amplification pertinent signal process control r f(t)dt rad/sec second derivative shown in Fig signal at discrete slope of 6db/octave Standard Derivative Circuits STANFORD UNIVERSITY superposed AC signal t-At theoretical frequency response THREE LEG DERIVATIVE three point approximation THREE POLE Three-Leg Derivative Circuit three-pole approximation Three-Pole Circuit Transducers true differentiator Two-Leg Derivative Circuit values VARIOUS DERIVATIVE SYSTEMS written as e0(s zero db