The

**transfer function** (or

impulse response) of a

linear system **is** the complete characterization of the system. Once it is known, the output to the system may be determined by two methods:

**Method 1**: Multiplying the transformed impulse response and inputs and taking the inverse Laplace transform to yield the time-domain output.

**Method 2**: Performing the time-domain convolution of the inverse Laplace transformed transfer function and the input waveform.

Typically Method 1 is the preferred method, as many EE students studying introductory Linear Systems will attest to.