Find the causal signal x(n) for the ff. z transform
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Dividing top and bottom by yields
Comparing this expression to # 20 in this list, we see that we must have, if possible, and
You can make this work out. What do you get for and and What is your radius of convergence?
Originally Posted by TechnicianEngineer Find the causal signal x(n) for the ff. z transform The 'rexcursive relation' corresponding the the z-transform... (1)
... is... (2)
... that has to be solved...
the region of convergence is |z| > 0.707106
solving for a
the inverse z transform is
is this correct?
You should check that the values you obtained check out with the third equation (three equations and two unknowns renders your system overdetermined, but the third equation must be satisfied). If it does, then I'd say you have the correct answer.
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