recategorized by
436 views
1 1 vote

Output of a linear system with input $x(t)$ is given by
\[
y(t)=\int_{-\infty}^{\infty} h(t, \tau) x(\tau) .
\]
The system is time invariant if

  1. $h(t, \tau)=h(t-\tau)$
  2. $h(t, \tau)=h(\tau)$
  3. $h(t, \tau)=h(t)$
  4. $h(t, \tau)=$ constant
  5. $h(t, \tau)$ is a continuous function of $t$

Please log in or register to answer this question.

Position:
Show:

Related questions

1 1 vote
0 0 answers
277
277 views
admin asked Nov 30, 2022
277 views
If we convolve $\sin (t) / t$ with itself, then we get$C \sin (t) / t$ for some constant $C$$C \cos (t) / t$ for some constant $C$$C \cos (t) / t^{2}$ for some constant $...
1 1 vote
0 0 answers
291
291 views
admin asked Nov 30, 2022
291 views
Consider a system with input $x(t)$ and the output $y(t)$ is given by\[y(t)=x(t)-\sin (t) x(t-1)-0.5 x(t+2)+1 .\]The system isNon-linearNon-causalTime varyingAll of the a...
1 1 vote
0 0 answers
330
330 views
admin asked Nov 30, 2022
330 views
Let $Y(t)=\sum_{n=-\infty}^{\infty} x_{n} h(t-n T)$. We sample $Y(t)$ at time instants $n T / 2$ and let $Y_{n}=Y(n T / 2)$. Which of the following is true?$\left\{Y_{n}\...
2 2 votes
0 0 answers
366
366 views
admin asked Dec 14, 2022
366 views
Consider the following input $x(t)$ and output $y(t)$ pairs for two different systems.$x(t)=\sin (t), y(t)=\cos (t),$$x(t)=t+\sin (t), y(t)=2 t+\sin (t-1).$Which of these...

Add Synced Question

×