A **transfer function** is a mathematical representation of the relation between the input and output of a linear time-invariant system. It is mainly used in (digital) signal processing and control theory.

Table of contents |

2 Signal Processing 3 Control Engineering |

Take a complex harmonic signal with a sinusoidal component with amplitude , angular frequency and phase

- .

In control engineering and control theory the transfer function is derived using the Laplace transform.