- #1
fisico30
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Hello Forum,
given a input=delta located at time t=0, the system will respond generating a function h(t).
If the delta is instead located at t=t0 (delayed by tau), the system will respond with a function g(t)=h(t-tau), just a shifted version of the response for the delta a t=0...
If this is the case, the system is time invariant and the impulse response is said to be only a function of t-t0...: h(t-t0)
If the system was time variant instead, it will be a function h(t,t-t0), that is, a function of both time t and t-t0...it is as if it was a function of two variables...
I am not clear on this: isn't the function h, the impulse response, a function of time t also in the case of time invariant system?
To be time invariant, does the variable t need to always occur with t0 in a subtraction?
thanks,
Fisico30
given a input=delta located at time t=0, the system will respond generating a function h(t).
If the delta is instead located at t=t0 (delayed by tau), the system will respond with a function g(t)=h(t-tau), just a shifted version of the response for the delta a t=0...
If this is the case, the system is time invariant and the impulse response is said to be only a function of t-t0...: h(t-t0)
If the system was time variant instead, it will be a function h(t,t-t0), that is, a function of both time t and t-t0...it is as if it was a function of two variables...
I am not clear on this: isn't the function h, the impulse response, a function of time t also in the case of time invariant system?
To be time invariant, does the variable t need to always occur with t0 in a subtraction?
thanks,
Fisico30