Which of the following option is true, if input output relation of a continuous time system is given as:
\(y\left( t \right) = T\left\{ {x\left( t \right)} \right\} = \frac{1}{T}\mathop \smallint \limits_{t - \frac{T}{2}}^{t + \frac{T}{2}} x\left( \tau \right)d\tau \)
1
The system is linear, time-invariant and casual
2
The system is non-linear, time-invariant and causal
3
The system is linear, time-invariant and non-causal
4
The system is non-linear, time-invariant and non-casual