causality

The input $x(t)$ and the output $y(t)$ of a system are related as $y(t) = e^{-t} \int_{-\infty}^{t} e^{\tau} x(\tau) d\tau, \quad -\infty < t < \infty$. The system is

The input $x(t)$ and the output $y(t)$ of a system are related as $$ y(t) = e^{-t} \int\limits_{-\infty}^{t} e^{\tau} x(\tau) d\tau, \quad - \infty The system is

Which of the following statement(s) is/are true?

Which of the following statement(s) is/are true?

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

The system represented by the input-output relationship $$y\left(t\right)=\int_{-\infty}^{5t}x\left(\tau\right)d\tau$$, t > 0 is

A cascade of 3 Linear Time Invariant systems is casual and unstable. From this, we conclude that

The $$z$$$$-$$ transform of a signal $$x\left[ n \right]$$ is given by $$4{z^{ - 3}} + 3{z^{ - 1}} + 2 - 6{z^2} + 2{z^3}.$$ It is applied to a system, with a transfer function $$H\...

A system with input $$x(t)$$ and output $$y(t)$$ is defined by the input $$-$$ output relation: $$y\left( t \right) = \int\limits_{ - \infty }^{ - 2t} {x\left( \tau \right)} d\tau...

The impulse response of a causal linear time-invariant system is given as $$h(t)$$. Now consider the following two statements: Statement-$$\left( {\rm I} \right)$$: Principle of su...

A discrete real all pass system has a pole at $$z = 2\angle {30^ \circ };\,$$ it, therefore,