• recategorized by
267 views
1 1 vote

An $\text{LTI}$ system having transfer function $\frac{s^{2}+1}{s^{2}+2 s+1}$ and input $x(t)=\sin (t+1)$ is in steady state. The output is sampled at a rate $\omega_{s} \; \mathrm{rad} / \mathrm{s}$ to obtain the final output $\{y(k)\}$. Which of the following is true?

  1. $y(\cdot)$ is zero for all sampling frequencies $\omega_{s}$
  2. $y(\cdot)$ is nonzero for all sampling frequencies $\omega_{s}$
  3. $y(\cdot)$ is nonzero for $\omega_{s}>2$, but zero for $\omega_{s}<2$
  4. $y(\cdot)$ is zero for $\omega_{s}>2$, but nonzero for $\omega_{s}<2$

Please log in or register to answer this question.

Position:
Show:

Related questions

1 1 vote
0 0 answers
351
351 views
admin asked Sep 15, 2022
351 views
The unit step response of an under-damped second order system has steady state value of $-2$. Which one of the following transfer functions has these properties ?$\frac{-...
1 1 vote
0 0 answers
304
304 views
admin asked Sep 15, 2022
304 views
The Nyquist plot of a stable transfer function $G(s)$ is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration s...
1 1 vote
0 0 answers
342
342 views
admin asked Sep 15, 2022
342 views
The Fourier series of a real periodic function has onlycosine terms if it is evensine terms if it is evencosine terms if it is oddsine terms if it is oddWhich of the abov...
1 1 vote
0 0 answers
491
491 views
admin asked Sep 15, 2022
491 views
A function is given by $f(t)=\sin ^{2} t+\cos 2 t$. Which of the following is true?$f$ has frequency components at 0 and $1 / 2 \pi \; \mathrm{Hz}$$f$ has frequency compo...

Add Synced Question

×