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ON THE CORRELATION STRUCTURE OF THE WAVELET COEFFICIENTS OF FRACTIONAL BROWNIAN-MOTION
被引:42
作者
:
DIJKERMAN, RW
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
DIJKERMAN, RW
[
1
]
MAZUMDAR, RR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
MAZUMDAR, RR
[
1
]
机构
:
[1]
UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
来源
:
IEEE TRANSACTIONS ON INFORMATION THEORY
|
1994年
/ 40卷
/ 05期
基金
:
美国国家科学基金会;
关键词
:
WAVELET TRANSFORM;
FRACTIONAL BROWNIAN MOTION;
STOCHASTIC PROCESSES;
D O I
:
10.1109/18.333875
中图分类号
:
TP [自动化技术、计算机技术];
学科分类号
:
0812 ;
摘要
:
In this correspondence, we show that the interdependence of the discrete wavelet coefficients of fractional Brownian motion, defined by the normalized correlation, decays exponentially fast across scales and hyperbolically fast along time.
引用
收藏
页码:1609 / 1612
页数:4
相关论文
共 9 条
[1]
COHEN A, 1991, CR HEBD ACAD SCI, VT, P567
[2]
ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS
[J].
DAUBECHIES, I
论文数:
0
引用数:
0
h-index:
0
DAUBECHIES, I
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1988,
41
(07)
:909
-996
[3]
WAVELET REPRESENTATIONS OF STOCHASTIC-PROCESSES AND MULTIRESOLUTION STOCHASTIC-MODELS
[J].
DIJKERMAN, RW
论文数:
0
引用数:
0
h-index:
0
机构:
INRS TELECOMMUN,MONTREAL,PQ,CANADA
DIJKERMAN, RW
;
MAZUMDAR, RR
论文数:
0
引用数:
0
h-index:
0
机构:
INRS TELECOMMUN,MONTREAL,PQ,CANADA
MAZUMDAR, RR
.
IEEE TRANSACTIONS ON SIGNAL PROCESSING,
1994,
42
(07)
:1640
-1652
[4]
ON THE SPECTRUM OF FRACTIONAL BROWNIAN MOTIONS
[J].
FLANDRIN, P
论文数:
0
引用数:
0
h-index:
0
FLANDRIN, P
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1989,
35
(01)
:197
-199
[5]
WAVELET ANALYSIS AND SYNTHESIS OF FRACTIONAL BROWNIAN-MOTION
[J].
FLANDRIN, P
论文数:
0
引用数:
0
h-index:
0
机构:
LTS,INST CHIM & PHYS IND,LYONS,FRANCE
LTS,INST CHIM & PHYS IND,LYONS,FRANCE
FLANDRIN, P
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1992,
38
(02)
:910
-917
[6]
A THEORY FOR MULTIRESOLUTION SIGNAL DECOMPOSITION - THE WAVELET REPRESENTATION
[J].
MALLAT, SG
论文数:
0
引用数:
0
h-index:
0
机构:
New York Univ, New York, NY, USA
MALLAT, SG
.
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,
1989,
11
(07)
:674
-693
[7]
THE WAVELET TRANSFORM OF STOCHASTIC-PROCESSES WITH STATIONARY INCREMENTS AND ITS APPLICATION TO FRACTIONAL BROWNIAN-MOTION
[J].
MASRY, E
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA
MASRY, E
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1993,
39
(01)
:260
-264
[8]
ON THE WAVELET TRANSFORM OF FRACTIONAL BROWNIAN-MOTION
[J].
RAMANATHAN, J
论文数:
0
引用数:
0
h-index:
0
机构:
MITRE CORP,BEDFORD,MA 01730
RAMANATHAN, J
;
ZEITOUNI, O
论文数:
0
引用数:
0
h-index:
0
机构:
MITRE CORP,BEDFORD,MA 01730
ZEITOUNI, O
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1991,
37
(04)
:1156
-1158
[9]
CORRELATION STRUCTURE OF THE DISCRETE WAVELET COEFFICIENTS OF FRACTIONAL BROWNIAN-MOTION
[J].
TEWFIK, AH
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Eléctrical Engineering, University of Minnesota*, Minneapolis, MN 55455
TEWFIK, AH
;
KIM, M
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Eléctrical Engineering, University of Minnesota*, Minneapolis, MN 55455
KIM, M
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1992,
38
(02)
:904
-909
←
1
→
共 9 条
[1]
COHEN A, 1991, CR HEBD ACAD SCI, VT, P567
[2]
ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS
[J].
DAUBECHIES, I
论文数:
0
引用数:
0
h-index:
0
DAUBECHIES, I
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1988,
41
(07)
:909
-996
[3]
WAVELET REPRESENTATIONS OF STOCHASTIC-PROCESSES AND MULTIRESOLUTION STOCHASTIC-MODELS
[J].
DIJKERMAN, RW
论文数:
0
引用数:
0
h-index:
0
机构:
INRS TELECOMMUN,MONTREAL,PQ,CANADA
DIJKERMAN, RW
;
MAZUMDAR, RR
论文数:
0
引用数:
0
h-index:
0
机构:
INRS TELECOMMUN,MONTREAL,PQ,CANADA
MAZUMDAR, RR
.
IEEE TRANSACTIONS ON SIGNAL PROCESSING,
1994,
42
(07)
:1640
-1652
[4]
ON THE SPECTRUM OF FRACTIONAL BROWNIAN MOTIONS
[J].
FLANDRIN, P
论文数:
0
引用数:
0
h-index:
0
FLANDRIN, P
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1989,
35
(01)
:197
-199
[5]
WAVELET ANALYSIS AND SYNTHESIS OF FRACTIONAL BROWNIAN-MOTION
[J].
FLANDRIN, P
论文数:
0
引用数:
0
h-index:
0
机构:
LTS,INST CHIM & PHYS IND,LYONS,FRANCE
LTS,INST CHIM & PHYS IND,LYONS,FRANCE
FLANDRIN, P
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1992,
38
(02)
:910
-917
[6]
A THEORY FOR MULTIRESOLUTION SIGNAL DECOMPOSITION - THE WAVELET REPRESENTATION
[J].
MALLAT, SG
论文数:
0
引用数:
0
h-index:
0
机构:
New York Univ, New York, NY, USA
MALLAT, SG
.
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE,
1989,
11
(07)
:674
-693
[7]
THE WAVELET TRANSFORM OF STOCHASTIC-PROCESSES WITH STATIONARY INCREMENTS AND ITS APPLICATION TO FRACTIONAL BROWNIAN-MOTION
[J].
MASRY, E
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA
MASRY, E
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1993,
39
(01)
:260
-264
[8]
ON THE WAVELET TRANSFORM OF FRACTIONAL BROWNIAN-MOTION
[J].
RAMANATHAN, J
论文数:
0
引用数:
0
h-index:
0
机构:
MITRE CORP,BEDFORD,MA 01730
RAMANATHAN, J
;
ZEITOUNI, O
论文数:
0
引用数:
0
h-index:
0
机构:
MITRE CORP,BEDFORD,MA 01730
ZEITOUNI, O
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1991,
37
(04)
:1156
-1158
[9]
CORRELATION STRUCTURE OF THE DISCRETE WAVELET COEFFICIENTS OF FRACTIONAL BROWNIAN-MOTION
[J].
TEWFIK, AH
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Eléctrical Engineering, University of Minnesota*, Minneapolis, MN 55455
TEWFIK, AH
;
KIM, M
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Eléctrical Engineering, University of Minnesota*, Minneapolis, MN 55455
KIM, M
.
IEEE TRANSACTIONS ON INFORMATION THEORY,
1992,
38
(02)
:904
-909
←
1
→