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  2. 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 ...

  3. Butterworth filter - Wikipedia

    en.wikipedia.org/wiki/Butterworth_filter

    The function is defined by the three poles in the left half of the complex frequency plane. Log density plot of the transfer function () in complex frequency space for the third-order Butterworth filter with =1. The three poles lie on a circle of unit radius in the left half-plane.

  4. Extra element theorem - Wikipedia

    en.wikipedia.org/wiki/Extra_element_theorem

    Where the Laplace-domain transfer functions and impedances in the above expressions are defined as follows: H(s) is the transfer function with the extra element present. H ∞ (s) is the transfer function with the extra element open-circuited. H 0 (s) is the transfer function with the extra element short-circuited. Z(s) is the impedance of the ...

  5. 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.

  6. Mason's gain formula - Wikipedia

    en.wikipedia.org/wiki/Mason's_gain_formula

    Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson Mason, [1] for whom it is named. MGF is an alternate method to finding the transfer function algebraically by labeling each signal, writing down the equation for how that signal depends on ...

  7. Transfer function matrix - Wikipedia

    en.wikipedia.org/wiki/Transfer_function_matrix

    In control system theory, and various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output (SISO) systems to multiple-input and multiple-output (MIMO) systems. [1] The matrix relates the outputs of the system to its inputs.

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  9. Electronic filter topology - Wikipedia

    en.wikipedia.org/wiki/Electronic_filter_topology

    Common types of linear filter transfer function are; high-pass, low-pass, bandpass, band-reject or notch and all-pass. Once the transfer function for a filter is chosen, the particular topology to implement such a prototype filter can be selected so that, for example, one might choose to design a Butterworth filter using the Sallen–Key topology.