Recent questions tagged impulse-response

Consider a discrete-time linear time-invariant (LTI) system $\boldsymbol{S}$, where$$ y[n]=\boldsymbol{S}\{x[n]\} $$Let$$ \boldsymbol{S}\{\delta[n]\}=\left\{\begin{array}...

The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is$0$$1$$2$$3$

Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$$t\:u(t) \\$$\dfrac{t^2}{2}u(t) \\$$e^{-t}u(t)$

Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by$e^{...

For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE?The impulse response will be integrable, bu...

The impulse response $g(t)$ of a system, $G$, is as shown in Figure $(a)$. What is the maximum value attained by the impulse response of two cascaded blocks of $G$ as sho...

Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the...

Consider a linear time-invariant system with transfer function$H(s)=\frac{1}{(s+1)}$If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the v...

The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signa...