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

页码：573 / 585

页数：13

共 50 条

[31] Simulated annealing for vertical magnetic dipole TEM 1D inversion
Li, Jianhui
Zhu, Ziqiang
Zeng, Sihong
Liu, Qunyi
He, Xianqi
Mi, Shiwen
NEAR-SURFACE GEOPHYSICS AND GEOHAZARDS - PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON ENVIRONMENTAL AND ENGINEERING GEOPHYSICS, VOLS 1 AND 2, 2010, : 408 - 411
[32] A fast hybrid 1D inversion approach for ground conductivity data
Christensen, Niels Boie
Jacobsen, Bo Holm
NEAR SURFACE GEOPHYSICS, 2025, 23 (01) : 30 - 48
[33] A 1D inversion for non-invasive time domain reflectometry
Platt, Ian G.
Woodhead, Ian M.
MEASUREMENT SCIENCE AND TECHNOLOGY, 2008, 19 (05)
[34] 2D Resistivity Inversion Using Spectral Parameterization
Jang, Hannuree
Shin, Changsoo
Lee, Dongkweon
Jang, Hangilro
GEOPHYSICS AND GEOPHYSICAL EXPLORATION, 2024, 27 (04): : 224 - 232
[35] Parallel Computation for Inversion Algorithm of 2D ZTEM
Wang, Mao
Tan, Handong
Wang, Yuzhu
Lin, Changhong
Peng, Miao
APPLIED SCIENCES-BASEL, 2022, 12 (24):
[36] Factors Affecting the Perception of 3D Facial Symmetry from 2D Projections
Lewis, Michael B.
SYMMETRY-BASEL, 2017, 9 (10):
[37] Effectiveness of 3D geoelectrical resistivity imaging using parallel 2D profiles
Aizebeokhai, A. P.
Olayinka, A. I.
Singh, V. S.
Uhuegbu, C. C.
CURRENT SCIENCE, 2011, 101 (08): : 1036 - 1052
[38] Acceleration strategies for elastic full waveform inversion workflows in 2D and 3D
Kormann, Jean
Rodriguez, Juan E.
Ferrer, Miguel
Farres, Albert
Gutierrez, Natalia
de la Puente, Josep
Hanzich, Mauricio
Cela, Jose M.
COMPUTATIONAL GEOSCIENCES, 2017, 21 (01) : 31 - 45
[39] 2D and 3D MT in the central Skellefte Ore District, northern Sweden
Juanatey, Maria A. Garcia
Hubert, Juliane
Tryggvason, Afi
Juhlin, Christopher
Pedersen, Laust B.
Bauer, Tobias E.
Dehghannejad, Mahdieh
TECTONOPHYSICS, 2019, 764 : 124 - 138
[40] Sculpting 3D spatial selectivity with pairs of 2D pulses: A comparison of methods
Farkash, Gil
Dumez, Jean-Nicolas
Frydman, Lucio
JOURNAL OF MAGNETIC RESONANCE, 2016, 273 : 9 - 18

← 1 2 3 4 5 →