Is this a causal system ?

[magnetra]

It the following system causal??

y(t) = ∫x(t)dt ; Integration range: 0 to T


Regards
M

 

[vadkudr]

Re: Causality

When integrating right part
∫x(t)dt
variable t is disappeared. So you get only fixed number as a result.
Your question is incorrect.

Did you meaned y(t)∫x(s)ds ; Integration range: 0 to t ???

The this is causal system named integrator with reset function. Reset is performed at t=0.

Added after 26 seconds:

y(t) =∫x(s)ds

 

[magnetra]

Causality

I got your point. Thank you vadkudr.

M

 

[bhq]

Re: Causality

Causal System:
The output at any time t depend on the past or current input and for the output depencency it depends on the past output only

your sysrem is not looking spacefic, it can be causal and can be non causal.

for causal your output at 't' useses only the input from 0 to 't'. I mean it donot use any input greater than 't'. ie feauture input.

 

[kender]

Re: Causality

It the following system causal??

y(t) = ∫x(t)dt ; Integration range: 0 to T

It's causal for t ≥ T
It's not causal for t < T