ON THE CORRELATION STRUCTURE OF THE WAVELET COEFFICIENTS OF FRACTIONAL BROWNIAN-MOTION

被引:42
作者
DIJKERMAN, RW [1 ]
MAZUMDAR, RR [1 ]
机构
[1] UNIV QUEBEC,INRS TELECOMMUN,INST NATL RECH SCI,ILE DES SOEURS H3E 1H6,PQ,CANADA
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 .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
[3]   WAVELET REPRESENTATIONS OF STOCHASTIC-PROCESSES AND MULTIRESOLUTION STOCHASTIC-MODELS [J].
DIJKERMAN, RW ;
MAZUMDAR, RR .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (07) :1640-1652
[4]   ON THE SPECTRUM OF FRACTIONAL BROWNIAN MOTIONS [J].
FLANDRIN, P .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (01) :197-199
[5]   WAVELET ANALYSIS AND SYNTHESIS OF FRACTIONAL BROWNIAN-MOTION [J].
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 .
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 .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (01) :260-264
[8]   ON THE WAVELET TRANSFORM OF FRACTIONAL BROWNIAN-MOTION [J].
RAMANATHAN, J ;
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 ;
KIM, M .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) :904-909