Teaching TN TRB EE Test Series Signals and Systems Linear Time Invariant Systems Continuous Time LTI Systems
Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete time system has the input – output relationship,
\(y\left( n \right) = \left\{ {\begin{array}{*{20}{c}} {x\left( n \right)}&{n \ge 1}\\ 0&{n = 0}\\ {x\left( {n + 1} \right)}&{n \le - 1} \end{array}} \right.\)
Where x(n) is the input and y(n) is the output. The above system has the properties
1
P, S but not Q, R
2
P, Q, S but not R
3
P, Q, R, S
4
Q, R, S but not P