New answers tagged linear-systems
0
votes
Is a LTI system with dead-time equivalent with a LTI system with no dead-time but delayed input signal?
As many things in the universe. the answer is "it depends"
When delay appeaar outside of feedback loop (As your case) it just shift the time axis by constant value. you can compensate that ...
2
votes
Output of a LTI system
@FAT32 thank you so much for your help.
$x_1[n] = 2x_0[n-4] + x_0[n-2] + x_0[n-6]$
Thus the output is:
$-\delta[n]-2\delta[n-1]-2\delta[n-2]-2\delta[n-3]+2\delta[n-5]+2\delta[n-6]+2\delta[n-7]+\delta[...
0
votes
What is the difference between natural response and zero input response?
have a look at:
https://www.youtube.com/watch?v=isSFqzZwu38
time: 19:22,
he mentions that total= a) homogenous+particular,
b) force + natural
c) zero state+ zero input
and that force+natural are not ...
1
vote
Linearity/Non-Linearity of $y(t) = x(t) +\cos(w_0 t)$
Doubled input != doubled output:
$$
2x(t) \rightarrow \text{system} \rightarrow 2x(t) + \cos(\omega_0 t) \neq 2 y(t)
$$
Not linear. You've also shown it: need $2\cos(\omega_0t)$ to satisfy $x_1(t) + ...
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