Title

On the 1D and 2D Rogers-Ramanujan Continued Fractions

Document Type

Article

Publication Date

6-1-2011

Abstract

In this paper the classical and generalized numerical RogersRamanujan continued fractions are extended to a polynomial continued fraction in one and two dimensions. Using the new continued fractions, the fundamental recurrence formulas and a fast algorithm, based on matrix formulations, are given for the computation of their transfer functions. The presented matrix formulations can provide a new perspective to the analysis and design of Ladder-continued fraction filters in one and two dimensions signal processing. The simplicity and efficiency of the presented algorithms are illustrated by step-by-step examples.

DOI

10.1142/S0218126611007475

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