On the 1D and 2D Rogers-Ramanujan Continued Fractions
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.
MSU Digital Commons Citation
Antoniou, George and Katsalis, Panagiota A., "On the 1D and 2D Rogers-Ramanujan Continued Fractions" (2011). Department of Computer Science Faculty Scholarship and Creative Works. 446.