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Can someone explain why the anticausal form of a geometric series with |R|>1 is the same as the causal geometric series with |R|<1? This is completely unintuitive.
I'm talking about this shit:
https://ccrma.stanford.edu/~jos/filters/Geometric_Series.html
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what exactly are you confused by on that page?
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>>9166688
I just realized I misphrased my ask. I meant: why does that math actually match up with the original geometric sequence for |R|>1
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>>9166698
Why does the geometric sequence R^n where |R|>1 have the closed form of -R^-1/(1-R^-1)? Why do those two things have any relation? Why does a divergent series have a closed form?
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>>9166705
>Why does the geometric sequence R^n where |R|>1 have the closed form of -R^-1/(1-R^-1)?
1/(1-R) =
R^(-1)/(R^(-1)-1) =
-R^(-1)/(1-R^(-1))
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