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  2. Roll-off - Wikipedia

    en.wikipedia.org/wiki/Roll-off

    A simple first-order network such as a RC circuit will have a roll-off of 20 dB/decade. This is a little over 6 dB/octave and is the more usual description given for this roll-off. This can be shown to be so by considering the voltage transfer function, A, of the RC network: [1]

  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. 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.

  5. Resource selection function - Wikipedia

    en.wikipedia.org/wiki/Resource_selection_function

    Resource Selection Functions require two types of data: location information for the wildlife in question, and data on the resources available across the study area. Resources can include a broad range of environmental and geographical variables, including categorical variables such as land cover type, or continuous variables such as average ...

  6. Smith predictor - Wikipedia

    en.wikipedia.org/wiki/Smith_predictor

    The Smith predictor (invented by O. J. M. Smith in 1957) is a type of predictive controller designed to control systems with a significant feedback time delay. The idea can be illustrated as follows.

  7. Proportional control - Wikipedia

    en.wikipedia.org/wiki/Proportional_control

    , is process transfer function; the input into the block is flow rate and output is tank level. The output as a function of the setpoint, r , is known as the closed-loop transfer function . g c l = g p g c 1 + g p g c , {\displaystyle {\mathit {g_{cl}}}={\frac {\mathit {g_{p}g_{c}}}{1+g_{p}g_{c}}},} If the poles of g c l , {\displaystyle ...

  8. List of nonlinear ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/List_of_nonlinear_ordinary...

    Order Equation Application Reference Abel's differential equation of the first kind: 1 = + + + Class of differential equation which may be solved implicitly [1] Abel's differential equation of the second kind: 1

  9. 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 ...