GENERALIZED DISCRETE FOURIER-TRANSFORMS - THE DISCRETE FOURIER-RICCATI-BESSEL TRANSFORM

被引：7

作者：

STADE, E

LAYTON, EG

机构：

[1] UNIV COLORADO,JOINT INST LAB ASTROPHYS,BOULDER,CO 80309

[2] NATL INST STAND & TECHNOL,BOULDER,CO 80309

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1995年 / 85卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0010-4655(94)00124-K

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present and demonstrate a discrete Fourier-Riccati-Bessel transform that incorporates Neumann boundary conditions. We also suggest that this methodology, which originated with H.F. Johnson, can be applied to other discrete Fourier-type transforms with different boundary conditions. This project was originally motivated by the development of the generalized Fourier-grid R-matrix scattering method. We present the transform itself, its derivation, analysis of the approximations involved, and some applications.

引用

页码：336 / 370

页数：35

共 50 条

[21] GENERALIZED FOURIER-TRANSFORMS
BETH, T
LECTURE NOTES IN COMPUTER SCIENCE, 1988, 296 : 92 - 118
[22] INDEX TRANSFORMS OF MULTIDIMENSIONAL CYCLIC CONVOLUTIONS AND DISCRETE FOURIER-TRANSFORMS
HEKRDLA, J
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (04): : 996 - 997
[23] FAST COMPUTATION OF DISCRETE FOURIER-TRANSFORMS USING POLYNOMIAL TRANSFORMS
NUSSBAUMER, HJ
QUANDALLE, P
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (02): : 169 - 181
[24] The generalized discrete fractional fourier transforms
Oraintara, S
2002 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-IV, PROCEEDINGS, 2002, : 1185 - 1188
[25] FAST MERSENNE NUMBER TRANSFORMS FOR THE COMPUTATION OF DISCRETE FOURIER-TRANSFORMS
SIU, WC
CONSTANTINIDES, AG
SIGNAL PROCESSING, 1985, 9 (02) : 125 - 131
[26] THE BEST FORMULAS FOR THE APPROXIMATE COMPUTATION OF DISCRETE FOURIER-TRANSFORMS
BER, MG
MALOZYOMOV, VN
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1992, 32 (11) : 1533 - 1544
[27] CODING AND FILTERING STATIONARY SIGNALS BY DISCRETE FOURIER-TRANSFORMS
PEARL, J
IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (02) : 229 - 232
[28] ONE-DIMENSIONAL AND 2-DIMENSIONAL GENERALIZED DISCRETE FOURIER-TRANSFORMS
BONGIOVANNI, G
CORSINI, P
FROSINI, G
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1976, 24 (01): : 97 - 100
[29] MORE ACCURATE INTERPOLATION USING DISCRETE FOURIER-TRANSFORMS
KEATING, PN
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1978, 26 (04): : 368 - 369
[30] A NEURAL NET APPROACH TO DISCRETE HARTLEY AND FOURIER-TRANSFORMS
CULHANE, AD
PECKERAR, MC
MARRIAN, CRK
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (05): : 695 - 703

← 1 2 3 4 5 →