LINEAR FILTERS AND NONLINEAR-SYSTEMS

被引：0

作者：

BROOMHEAD, DS ^{[1
]}

HUKE, JP ^{[1
]}

MULDOON, MR ^{[1
]}

机构：

[1] UNIV WARWICK,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL | 1992年 / 54卷 / 02期

关键词：

CHAOS; EMBEDDINGS; FRACTAL DIMENSIONS; LINEAR FILTERS;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

It has been asserted in the literature that the low pass filtering of time series data may lead to erroneous results when calculating attractor dimensions. Here we prove that finite order, non-recursive filters do not have this effect. In fact, a generic, finite order, non-recursive filter leaves invariant all the quantities that can be estimated by using embedding techniques such as the method of delays.

引用

页码：373 / 382

页数：10

共 50 条

[31] PRECOMPUTED-GAIN NONLINEAR FILTERS FOR NONLINEAR-SYSTEMS WITH STATE-DEPENDENT NOISE
CHANG, RJ
[J]. PROCEEDINGS OF THE 1989 AMERICAN CONTROL CONFERENCE, VOLS 1-3, 1989, : 2639 - 2645
[32] POSITIVE SOLUTIONS TO LINEAR PROBLEMS FOR NONLINEAR-SYSTEMS - PRELIMINARY REPORT
KARTSATO.AG
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (06): : A695 - &
[33] RECURSIVE IDENTIFICATION OF LINEAR AND NONLINEAR-SYSTEMS - CASE OF COLORED NOISE
PRASAD, RM
SINHA, AK
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (12) : 1435 - 1442
[34] IDENTIFYING APPROXIMATE LINEAR-MODELS FOR SIMPLE NONLINEAR-SYSTEMS
HORTA, LG
JUANG, JN
[J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1986, 9 (04) : 385 - 390
[35] DESIGN OF DUAL-RANGE LINEAR CONTROLLERS FOR NONLINEAR-SYSTEMS
NASSIRHARAND, A
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1991, 113 (04): : 590 - 596
[36] INFLUENCE OF LINEAR AND NONLINEAR-SYSTEMS UPON STOCHASTIC-PROCESSES
MARWEDEL, P
[J]. AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 1975, 29 (11): : 480 - 484
[37] OPTIMAL SMOOTHING IN DISCRETE-CONTINUOUS LINEAR AND NONLINEAR-SYSTEMS
HEDELIN, P
[J]. INFORMATION SCIENCES, 1977, 13 (02) : 137 - 158
[38] SENSITIVITY REDUCTION IN TIME-VARYING LINEAR AND NONLINEAR-SYSTEMS
SUNDARARAJAN, N
CRUZ, JB
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1972, 15 (05) : 937 - +
[39] ABSOLUTE STABILITY OF NONLINEAR-SYSTEMS WITH A PERIODICALLY NONSTATIONARY LINEAR PART
IAKUBOVICH, VA
[J]. DOKLADY AKADEMII NAUK SSSR, 1988, 298 (02): : 299 - 303
[40] NON-MARKOVIAN MASTER EQUATION FOR LINEAR AND NONLINEAR-SYSTEMS
GANGOPADHYAY, G
RAY, DS
[J]. PHYSICAL REVIEW A, 1992, 46 (03): : 1507 - 1515

← 1 2 3 4 5 →