Algorithms for expansion and inversion of Davis' z-domain continued fractions

R. Parthasarathy, S. Iyer · IEEE Transactions on Circuits and Systems · 1987

Davis [4] has given an expansion of a function into a continued fraction in terms of the forward differencez- 1and the backward difference1 - z^-1, functions on an alternating basis. Algorithms, novel and computationally efficient, for implementing this newz-domain continued fraction are presented in this brief. These procedures are direct extensions of the algorithms developed earlier for continuous systems [6], [7]. Examples are included.

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