ON THE 1D AND 2D ROGERS-RAMANUJAN CONTINUED FRACTIONS

被引：0
作者：
Antoniou, George E. [1 ]
Katsalis, Panagiota A. [2 ]
机构：
[1] Montclair State Univ, Dept Comp Sci, Montclair, NJ 07025 USA
[2] Montclair State Univ, Dept Math Sci, Montclair, NJ 07043 USA
来源：
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2011年 / 20卷 / 04期
关键词：
Rogers-Ramanujan; continued fractions; inversion; 1D/2D systems; multidimensional systems; INVERSION; FILTERS; CIRCUIT; DELAY;
D O I：
10.1142/S0218126611007475
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper the classical and generalized numerical Rogers-Ramanujan 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.
引用
收藏
页码：573 / 585
页数：13
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