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ckutlu
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Homework Statement
I need to find a transfer function using the given functions which i have no problem with. But i don't know how to exactly define the Region Of Convergence of the resulting transfer function.
I have h1[n] and h2[n] as to be convoluted to find the transfer function.
Homework Equations
[tex]h_{1}[n]\ast h_{2}[n]\stackrel{Z}{\rightarrow}H_{1}(z) H_{2}(z) = H(z)[/tex]
The Attempt at a Solution
I looked into Wikipedia page :
http://en.wikipedia.org/wiki/Z-transform#Example_1_.28no_ROC.29"
Under the properties section, this is written for the ROC of the convolution z-Transform:
Mr. Wikipedia said:At least the intersection of ROC1 and ROC2"
My confusion starts here, why "at least"? What more can then be? I think since we are multiplying the transforms, "only" the intersection of the ROC's should define the transfer function's ROC. Am i wrong?
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