Transfer Function

The engineering terminology for one use of Fourier Transforms. By breaking up a wave pulse into its frequency spectrum

 (1)

the entire signal can be written as a sum of contributions from each frequency,
 (2)

If the signal is modified in some way, it will become
 (3) (4)

where is known as the transfer function.'' Fourier Transforming and ,
 (5)

 (6)

From the Convolution Theorem,
 (7)