Local spectral analysis using wavelet packets

被引:0
|
作者
Jun Yu
Stefan Karlsson
机构
[1] Swedish University of Agricultural Sciences,Department of Forest Resource Management and Geomatics
[2] University Hospital of Northern Sweden,Department of Biomedical Engineering and Informatics
关键词
Wavelet transform; wavelet packets; multiresolution analysis; second-order stationary process; spectral estimation; wavelet packet spectrum;
D O I
暂无
中图分类号
学科分类号
摘要
Wavelet packets are a useful extension of wavelets, which are of wide potential use in a statistical context. In this paper, an approach to the local spectral analysis of a stationary time series based on wavelet packet decomposition is developed. This involves extensions to the wavelet context of standard time series ideas such as the periodogram and spectrum. Some asymptotic properties of the new estimate are provided. The technique is illustrated by simulated signals and its application to physiological data, and its potential use in studies of time-dependent spectral analysis is discussed.
引用
收藏
页码:497 / 528
页数:31
相关论文
共 50 条
  • [31] Local spectral information in the near field with wavelet analysis and entropy
    Barchiesi, D
    Gharbi, T
    APPLIED OPTICS, 1999, 38 (31) : 6587 - 6596
  • [32] Local spectral information in the near field with wavelet analysis and entropy
    Barchiesi, Dominique
    Gharbi, Tijani
    Applied Optics, 1999, 38 (31): : 6587 - 6596
  • [33] Adapted multiple folding local trigonometric transforms and wavelet packets
    Fang, X.
    Sere, E.
    Applied and Computational Harmonic Analysis, 1994, 1 (02) : 169 - 179
  • [34] Construction of biorthogonal wavelet packets on local fields of positive characteristic
    Shah, Firdous Ahmad
    Bhat, Mohammad Younus
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (02) : 292 - 309
  • [35] Local spectral energetics analysis of the formation of pacific blocking anticyclones using an orthonormal wavelet expansion
    Hasegawa, A
    Tanaka, HL
    JOURNAL OF THE METEOROLOGICAL SOCIETY OF JAPAN, 2002, 80 (04) : 645 - 667
  • [36] Iris features extraction using wavelet packets
    Rydgren, E
    Ea, T
    Amiel, F
    Rossant, F
    Amara, A
    ICIP: 2004 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1- 5, 2004, : 861 - 864
  • [37] Progressive image transmission using wavelet packets
    Demaistre, N
    Labit, C
    INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, PROCEEDINGS - VOL I, 1996, : 953 - 956
  • [38] Respiratory sounds denoising using wavelet packets
    Bahoura, M
    Hubin, M
    Ketata, M
    PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON BIOELECTROMAGNETISM, 1998, : 11 - 12
  • [39] Application of wavelet packets to the analysis of dynamic electroencephalogram
    Shen, Minfen
    Zheng, Yi
    International Conference on Signal Processing Proceedings, ICSP, 1998, 2 : 1608 - 1611
  • [40] SAR Image Compression using Wavelet Packets
    Agrawal, Navneet
    Venugopalan, K.
    PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING SYSTEMS, 2009, : 343 - +