Recent questions tagged linear-time-invariant-systems

The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system ou...

Consider an LTI system with magnitude response $$\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid 20 \end{cases}$$ and pha...

The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $$y(t)=\int_{t-T}^{t}x(u) du.$$ The system islinear and time-variantlinear and time-i...

An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-s...

A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response...

A linear time invariant (LTI) system with the transfer function $$G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$$is connected in unity feedback configuration as shown in the fi...

Let $h[n]$ be the impulse response of a discrete-time linear time invariant(LTI) filter. The impulse response is given by $$h[0]=\frac{1}{3}; \, h =\frac{1}{3}; \, h =\fr...

Consider a single input single output discrete-time system with $x[ n ]$ as input and $y [ n ]$ as output, where the two are related as$$y [ n ]= \begin{cases} n \mid x [...

Consider the following statements for continuous-time linear time invariant (LTI) systems.There is no bounded input bounded output (BIBO) stable system with a pole in the...