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Inversion of z-transforms by solving appropriately formulated nonconstant coefficient difference equations

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1 Author(s)
Fabian, Ellis ; Xerox Research Centre of Canada, Mississauga, Ontario, Canada

This note introduces a novel method for obtaining closed-form analytical solutions for the inverse Z -transform of functions in the class \exp(Q(z)) with Q(z) a polynomial. In the application considered here, the relevant difference equation turns out to be y(s + 1) = cy(s)+sey(s - 1), s \geq 1 , for which a complete solution is derived.

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Automatic Control, IEEE Transactions on  (Volume:28 ,  Issue: 11 )