What is a transfer function?

Question

What are the applications of transfer function? What is its use?

Answer 1

A transfer function is defined as the ratio of the Laplace transforms of the output and input of a Linear Time-Invariant (LTI) system with zero initial conditions.

Transfer functions are used to analyse the frequency response and time domain behaviour of LTI systems when subjected to various inputs. A typical example is analysing and designing electronic filters such as low pass, bandpass and high pass filters. Also, mechanical and chemical system dynamics can be treated with this concept, such as vibrational modes in a bridge etc. There are many applications for transfer functions.

Answer 2

Transfer Function

Answer 3

A transfer function is an input-output function. If you know what goes into a box, and you know the transfer function, you can calculate what comes out.

Output = Input x Transfer function

Answer 4

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. If we have an input function of X(s), and an output function Y(s), we define the transfer function H(s) to be:


[Transfer Function]

H(s) = {Y(s) \over X(s)}

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Answer 5

It is a mathematical representation for fit or to describe inputs and outputs of black box models.

Typically it is a representation in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-invariant system (LTI) with zero initial conditions and zero-point equilibrium.With optical imaging devices, for example, it is the Fourier transform of the point spread function (hence a function of spatial frequency) i.e., the intensity distribution caused by a point object in the field of view.A number of sources however use "transfer function" to mean some input-output characteristic in direct physical measures (e.g., output voltage as a function of input voltage of a two-port network) rather than its transform to the s-plane.



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