A linear operator must meet the following conditions: \[ S\{\alpha x
\[n\]\} = \alpha S\{x
\[n\]\} \] \[ S\{x
\[n\]+ y
\[n\]\} = S\{x
\[n\]\} + S\{y
\[n\]\} \]
A linear operator must meet the following conditions: \[ S\{\alpha x
\[n\]\} = \alpha S\{x
\[n\]\} \] \[ S\{x
\[n\]+ y
\[n\]\} = S\{x
\[n\]\} + S\{y
\[n\]\} \]