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  2. Karplus–Strong string synthesis - Wikipedia

    en.wikipedia.org/wiki/Karplus–Strong_string...

    Karplus–Strong string synthesis is a method of physical modelling synthesis that loops a short waveform through a filtered delay line to simulate the sound of a hammered or plucked string or some types of percussion.

  3. Optimum "L" filter - Wikipedia

    en.wikipedia.org/wiki/Optimum_"L"_filter

    A forth order filter has a value for k of 1, which is odd, so the summation uses only odd values of i for and (), which includes only the i=1 term in the summation. The transfer function, T 4 ( j ω ) {\displaystyle T_{4}(j\omega )} , may be derived as follows:

  4. 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 ...

  5. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    The transfer function coefficients can also be used to construct another type of canonical form ˙ = [] + [] () = [] (). This state-space realization is called observable canonical form because the resulting model is guaranteed to be observable (i.e., because the output exits from a chain of integrators, every state has an effect on the output).

  6. Low-pass filter - Wikipedia

    en.wikipedia.org/wiki/Low-pass_filter

    If the transfer function of a first-order low-pass filter has a zero as well as a pole, the Bode plot flattens out again, at some maximum attenuation of high frequencies; such an effect is caused for example by a little bit of the input leaking around the one-pole filter; this one-pole–one-zero filter is still a first-order low-pass.

  7. First-order hold - Wikipedia

    en.wikipedia.org/wiki/First-order_hold

    First-order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital-to-analog converter (DAC) and an analog circuit called an integrator. For FOH, the signal is reconstructed as a piecewise linear approximation to the original signal that was sampled.

  8. 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 ...

  9. 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.