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  1. A transfer function is a convenient way to represent a linear, time-invariant system in terms of its input-output relationship.[1]
  2. A Transfer Function is the ratio of the output of a system to the input of a system, in the Laplace domain considering its initial conditions and equilibrium point to be zero.[2]
  3. However, the impulse response cannot be used to find the system output from the system input in the same manner as the transfer function.[2]
  4. Nyquist and Bode plots can be drawn from the open loop Transfer Function.[2]
  5. If the complex Laplace variable is s, then we generally denote the transfer function of a system as either G(s) or H(s).[2]
  6. The dimensions and units of the transfer function model the output response of the device for a range of possible inputs.[3]
  7. For example, the transfer function of an electronic filter is the voltage amplitude at the output as a function of the frequency of a constant amplitude sine wave applied to the input.[3]
  8. i are the N roots of the characteristic polynomial and will therefore be the poles of the transfer function.[3]
  9. In order for a system to be stable, its transfer function must have no poles whose real parts are positive.[3]
  10. A transfer function represents the relationship between the output signal of a control system and the input signal, for all possible input values.[4]
  11. Also the transfer function of a system is represented by Laplace form by dividing output Laplace transfer function to input Laplace transfer function.[4]
  12. There are major two ways of obtaining a transfer function for the control system.[4]
  13. : It is not convenient to derive a complete transfer function for a complex control system.[4]
  14. The polynomial that forms the denominator of the transfer function is called the characteristic equation.[5]
  15. Transfer function of Physical System Find the transfer function of the system shown.[5]
  16. The transfer function is the ratio of the Laplace transform of the output to that of the input, both taken with zero initial conditions.[5]
  17. As stated previously, the transfer function is a common and extremely powerful method of representing a system mathematically.[5]
  18. Steps to obtain transfer function - Step-1 Write the differential equation.[6]
  19. Poles Poles are the frequencies of the transfer function for which the value of the transfer function becomes zero.[6]
  20. Zeros Zeros are the frequencies of the transfer function for which the value of the transfer function becomes zero.[6]
  21. If the no. of zeros are less than no. of poles, i.e., Z<P then the value of transfer function becomes zero for S??[6]
  22. The first step in creating a transfer function is to convert each term of a differential equation with a Laplace transform as shown in the table of Laplace transforms.[7]
  23. The PID equation can be converted to a transfer function by performing a Laplace transform on each of the elements.[7]
  24. The intermediate signal `X_2(s)` becomes the input for the second transfer function `G_2(s)` to produce `Y(s)`.[7]
  25. Symbolic solutions are limited to cases where the input function and system transfer function can be expressed in Laplace form.[7]
  26. If a system is represented by a single nth order differential equation, it is easy to represent it in transfer function form.[8]
  27. To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions).[8]
  28. An equivalent definition is that the transfer function is the ratio of the Laplace transforms (see Operational calculus) for the output and input signals with zero initial data.[9]
  29. A sound wave propagating in a space can be represented by a wave equation and is characterized by the transfer function (TF) between the sound source and receiving positions.[10]
  30. The transfer function of a system is the relationship between the system’s input and output represented in the frequency domain.[11]
  31. If is the open-loop transfer function of a system and is the frequency vector, we then plot versus .[12]
  32. The transfer function representation is especially useful when analyzing system stability.[12]
  33. If all poles of the transfer function (values of for which the denominator equals zero) have negative real parts, then the system is stable.[12]
  34. For stable transfer functions, the Final Value Theorem demonstrates that the DC gain is the value of the transfer function evaluated at = 0.[12]
  35. Transfer function models describe the relationship between the inputs and outputs of a system using a ratio of polynomials.[13]
  36. Mathworks provides an option for convenient platform for identification of the transfer function.[13]
  37. Using your input and output data, you get an estimation of your transfer function parameters.[13]
  38. f is the transfer function, which explains the transformation of the inputs into the output.[14]
  39. The transfer function of a control system is the ratio of Laplace transform of output to that of the input while taking the initial conditions, as 0.[15]
  40. We have already discussed that poles are specified by the denominator of the transfer function.[15]
  41. The order of the transfer function is defined by the characteristic equation of the system.[15]
  42. When all the poles and zeros of the transfer function are represented in the s-plane.[15]
  43. The transfer function can be obtained by simple algebraic jugglery of differential equations that illustrates the system.[16]
  44. In this article we have discussed transfer function which is input-output explanation of system.[16]
  45. We do not usually measure the phase transfer function directly; rather we calculate it from a Fourier transform of the impulse response.[17]
  46. The Transfer Function of a circuit is defined as the ratio of the output signal to the input signal in the frequency domain, and it applies only to linear time-invariant systems.[18]
  47. It is a key descriptor of a circuit, and for a complex circuit the overall transfer function can be relatively easily determined from the transfer functions of its subcircuits.[18]
  48. Now, I would like to show you how to use the transfer functions of subcircuits to determine the overall transfer function of an electronic system.[18]
  49. If two subcircuits are connected in series, then the overall transfer function is the product of the transfer functions of the subcircuits.[18]
  50. The transfer function reveals how the circuit modifies the input amplitude in creating the output amplitude.[19]
  51. Thus, the transfer function completely describes how the circuit processes the input complex exponential to produce the output complex exponential.[19]
  52. The circuit's function is thus summarized by the transfer function.[19]
  53. In fact, circuits are often designed to meet transfer function specifications.[19]
  54. As far as we know, this is the first such comparison using a linear frequency axis and a modulation transfer function obtained directly from speech intelligibility experiments.[20]
  55. In this manner we obtained the speech modulation transfer function (speech MTF).[20]
  56. To obtain something akin to a modulation transfer function (MTF) for speech intelligibility, low-pass filtering manipulation must be complemented with high-pass filtering.[20]
  57. Alternatively, a transfer function can be obtained directly from notch filtering experiments.[20]
  58. When optical designers attempt to compare the performance of optical systems, a commonly used measure is the modulation transfer function (MTF).[21]
  59. Now that the components of the modulation transfer function (MTF), resolution and contrast/modulation, are defined, consider MTF itself.[21]
  60. Every component within a system has an associated modulation transfer function (MTF) and, as a result, contributes to the overall MTF of the system.[21]
  61. A theoretical modulation transfer function (MTF) curve can be generated from the optical prescription of any lens.[21]
  62. (Available only in the Transfer Function Analysis red triangle menu.) Shows the Transfer Function Model Specification window.[22]
  63. Building a transfer function model is similar to building an ARIMA model; it is an iterative process of exploring, fitting, and comparing models.[22]
  64. Currently, the Transfer Function option has limited support of missing values.[22]
  65. The dynamic pattern of functional connectivity during a working memory task was investigated by means of the short-time directed transfer function.[23]
  66. The DTF is based on the transfer function H(f) of the MVAR model.[23]

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  • [{'LOWER': 'transfer'}, {'LEMMA': 'function'}]
  • [{'LOWER': 'system'}, {'LEMMA': 'function'}]
  • [{'LOWER': 'network'}, {'LEMMA': 'function'}]