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For $Y(b) = \text{thing}_1$, after a transform to another domain $Y(a)=\text{thing}_2$ , is there $Y(a,b)= \text{thing}_3$?

where $\text{thing}_3$ is related to $\text{thing}_1$ and $\text{thing}_2$ ?

More clarification:-

Ok, if I have a function in time say $Y(n) = u(n)$; after moving to $Z$-domain it will be $Y(Z)= \frac{z}{(z-1)}$, is there some way I can make a new function $Y(n,Z)$ = something that changes to n and Z ?

Edit 2:

I want if $(n =0)$ in $Y(n,Z) = Y(Z)$ and vice versa

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    @GerryMyerson I want if (n =0) in$Y(n,Z)$= Y(Z) and vice versa2012-06-01

1 Answers 1

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$Y(n,Z)=(2/\pi)[\arctan(n/Z)u(n)+(\pi/2-\arctan(n/Z))Y(Z)]$ seems to have the properties $Y(0,Z)=Y(Z)$ and $Y(n,0)=u(n)$.

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    MM I guess this what I need for now :) thanks a lot man2012-06-03