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  2. Bilinear transform - Wikipedia

    en.wikipedia.org/wiki/Bilinear_transform

    The bilinear transform is a first-order Padé approximant of the natural logarithm function that is an exact mapping of the z-plane to the s-plane.When the Laplace transform is performed on a discrete-time signal (with each element of the discrete-time sequence attached to a correspondingly delayed unit impulse), the result is precisely the Z transform of the discrete-time sequence with the ...

  3. Transfer function - Wikipedia

    en.wikipedia.org/wiki/Transfer_function

    The transfer function of a two-port electronic circuit, such as an amplifier, might be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical actuator might be the mechanical displacement of the movable arm as a function of electric ...

  4. Infinite impulse response - Wikipedia

    en.wikipedia.org/wiki/Infinite_impulse_response

    The bilinear transform is a first-order approximation of the natural logarithm function that is an exact mapping of the z-plane to the s-plane. When the Laplace transform is performed on a discrete-time signal (with each element of the discrete-time sequence attached to a correspondingly delayed unit impulse), the result is precisely the Z ...

  5. First-order hold - Wikipedia

    en.wikipedia.org/wiki/First-order_hold

    The delayed output makes this a causal system.The impulse response of the delayed FOH does not respond before the input impulse. This kind of delayed piecewise linear reconstruction is physically realizable by implementing a digital filter of gain H(z) = 1 − z −1, applying the output of that digital filter (which is simply x[n]−x[n−1]) to an ideal conventional digital-to-analog ...

  6. Proportional control - Wikipedia

    en.wikipedia.org/wiki/Proportional_control

    For example, may be bounded between −1 and +1 if those are the maximum output limits. Qualifications: It is preferable to express K p {\displaystyle K_{p}} as a unitless number. To do this, we can express e ( t ) {\displaystyle e(t)} as a ratio with the span of the instrument.

  7. Proper transfer function - Wikipedia

    en.wikipedia.org/wiki/Proper_transfer_function

    A strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator. The difference between the degree of the denominator (number of poles) and degree of the numerator (number of zeros) is the relative degree of the transfer function.

  8. Contrast transfer function - Wikipedia

    en.wikipedia.org/wiki/Contrast_transfer_function

    The form of the contrast transfer function determines the quality of real space image formation in the TEM. CTF Function prepared via web applet created by Jiang and Chiu, available at https://ctfsimulation.streamlit.app/ This is an example contrast transfer function. There are a number of things to note:

  9. Control theory - Wikipedia

    en.wikipedia.org/wiki/Control_theory

    The Wright brothers made their first successful test flights on December 17, 1903, and were distinguished by their ability to control their flights for substantial periods (more so than the ability to produce lift from an airfoil, which was known). Continuous, reliable control of the airplane was necessary for flights lasting longer than a few ...

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