Yes.
Just to make sure i have understood your notation. I am restating it.
Superposition:
Given:
y1(t) = ZOH {x1(t)} and
y2(t) = ZOH {x2(t)}
Implies
y(t) = ZOH {x1(t)+x2(t)}= y1(t)+y2(t)
Scaling:
If y1(t) = ZOH {x1(t)}
Then
a *y1(t) = ZOH {a*x1(t)}
TIFN,
Is discountinuity in first derivative a condition for the system to be Linear ?
I thought following two conditions are suffcient for a systemto be Linear .
1) Superposition : Sum of outputs is same as output of sum of inputs
2) Scaling : Scaling input by a conatct scales output by same...
Hi TIFN,
Thanks for your pointer to matlab forum.
Actually I did a bit of search on this. ZOH is linear and this aspect is well documented too.
It satisfies superposition and scaling property. It is sruprinsing but true. Try it !
-SK
I am struggling little bit in trying to understand the frequency response of the ZOH with matlab. I was wondering if you have any thoughts on this.
Here are few things that I understand ( coorect me if these are not right)
1) ZOH is linear but not Time Invariant
2) The frequency response...
