the zero-state response. The forced response depends only on the input x(v). The total response is the sum of the free response and the forced response, y(v) = yo(v) + yx(v). The total response can be viewed, also, as the sum of the steady-state response and transient response. These terms are often used for specifying system performance. The steady-state response is that part of the total response which does not approach zero as v approaches infinity. The transient response is that part of the total response which approaches zero as v goes to infinity.
In the study of discrete-time systems and difference equations which describe them, Isao soecial sequences (signals) are used that allow us to obtain simple representabons of signals and systems. Assuming that signals described by these sequences excite a sjsWa, we define the following special responses: