Module wavelet.wavelets.dmey

Discrete Meyer (FIR Approximation) wavelet

Expand source code 
""" Discrete Meyer (FIR Approximation)  wavelet """


class Meyer:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/dmey/
    """
    __name__ = "Meyer Wavelet"
    __motherWaveletLength__ = 62  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        0.0,
        -1.009999956941423e-12,
        8.519459636796214e-09,
        -1.111944952595278e-08,
        -1.0798819539621958e-08,
        6.066975741351135e-08,
        -1.0866516536735883e-07,
        8.200680650386481e-08,
        1.1783004497663934e-07,
        -5.506340565252278e-07,
        1.1307947017916706e-06,
        -1.489549216497156e-06,
        7.367572885903746e-07,
        3.20544191334478e-06,
        -1.6312699734552807e-05,
        6.554305930575149e-05,
        -0.0006011502343516092,
        -0.002704672124643725,
        0.002202534100911002,
        0.006045814097323304,
        -0.006387718318497156,
        -0.011061496392513451,
        0.015270015130934803,
        0.017423434103729693,
        -0.03213079399021176,
        -0.024348745906078023,
        0.0637390243228016,
        0.030655091960824263,
        -0.13284520043622938,
        -0.035087555656258346,
        0.44459300275757724,
        0.7445855923188063,
        0.44459300275757724,
        -0.035087555656258346,
        -0.13284520043622938,
        0.030655091960824263,
        0.0637390243228016,
        -0.024348745906078023,
        -0.03213079399021176,
        0.017423434103729693,
        0.015270015130934803,
        -0.011061496392513451,
        -0.006387718318497156,
        0.006045814097323304,
        0.002202534100911002,
        -0.002704672124643725,
        -0.0006011502343516092,
        6.554305930575149e-05,
        -1.6312699734552807e-05,
        3.20544191334478e-06,
        7.367572885903746e-07,
        -1.489549216497156e-06,
        1.1307947017916706e-06,
        -5.506340565252278e-07,
        1.1783004497663934e-07,
        8.200680650386481e-08,
        -1.0866516536735883e-07,
        6.066975741351135e-08,
        -1.0798819539621958e-08,
        -1.111944952595278e-08,
        8.519459636796214e-09,
        -1.009999956941423e-12,
    ]

    # high-pass
    decompositionHighFilter = [
        1.009999956941423e-12,
        8.519459636796214e-09,
        1.111944952595278e-08,
        -1.0798819539621958e-08,
        -6.066975741351135e-08,
        -1.0866516536735883e-07,
        -8.200680650386481e-08,
        1.1783004497663934e-07,
        5.506340565252278e-07,
        1.1307947017916706e-06,
        1.489549216497156e-06,
        7.367572885903746e-07,
        -3.20544191334478e-06,
        -1.6312699734552807e-05,
        -6.554305930575149e-05,
        -0.0006011502343516092,
        0.002704672124643725,
        0.002202534100911002,
        -0.006045814097323304,
        -0.006387718318497156,
        0.011061496392513451,
        0.015270015130934803,
        -0.017423434103729693,
        -0.03213079399021176,
        0.024348745906078023,
        0.0637390243228016,
        -0.030655091960824263,
        -0.13284520043622938,
        0.035087555656258346,
        0.44459300275757724,
        -0.7445855923188063,
        0.44459300275757724,
        0.035087555656258346,
        -0.13284520043622938,
        -0.030655091960824263,
        0.0637390243228016,
        0.024348745906078023,
        -0.03213079399021176,
        -0.017423434103729693,
        0.015270015130934803,
        0.011061496392513451,
        -0.006387718318497156,
        -0.006045814097323304,
        0.002202534100911002,
        0.002704672124643725,
        -0.0006011502343516092,
        -6.554305930575149e-05,
        -1.6312699734552807e-05,
        -3.20544191334478e-06,
        7.367572885903746e-07,
        1.489549216497156e-06,
        1.1307947017916706e-06,
        5.506340565252278e-07,
        1.1783004497663934e-07,
        -8.200680650386481e-08,
        -1.0866516536735883e-07,
        -6.066975741351135e-08,
        -1.0798819539621958e-08,
        1.111944952595278e-08,
        8.519459636796214e-09,
        1.009999956941423e-12,
        0.0,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        -1.009999956941423e-12,
        8.519459636796214e-09,
        -1.111944952595278e-08,
        -1.0798819539621958e-08,
        6.066975741351135e-08,
        -1.0866516536735883e-07,
        8.200680650386481e-08,
        1.1783004497663934e-07,
        -5.506340565252278e-07,
        1.1307947017916706e-06,
        -1.489549216497156e-06,
        7.367572885903746e-07,
        3.20544191334478e-06,
        -1.6312699734552807e-05,
        6.554305930575149e-05,
        -0.0006011502343516092,
        -0.002704672124643725,
        0.002202534100911002,
        0.006045814097323304,
        -0.006387718318497156,
        -0.011061496392513451,
        0.015270015130934803,
        0.017423434103729693,
        -0.03213079399021176,
        -0.024348745906078023,
        0.0637390243228016,
        0.030655091960824263,
        -0.13284520043622938,
        -0.035087555656258346,
        0.44459300275757724,
        0.7445855923188063,
        0.44459300275757724,
        -0.035087555656258346,
        -0.13284520043622938,
        0.030655091960824263,
        0.0637390243228016,
        -0.024348745906078023,
        -0.03213079399021176,
        0.017423434103729693,
        0.015270015130934803,
        -0.011061496392513451,
        -0.006387718318497156,
        0.006045814097323304,
        0.002202534100911002,
        -0.002704672124643725,
        -0.0006011502343516092,
        6.554305930575149e-05,
        -1.6312699734552807e-05,
        3.20544191334478e-06,
        7.367572885903746e-07,
        -1.489549216497156e-06,
        1.1307947017916706e-06,
        -5.506340565252278e-07,
        1.1783004497663934e-07,
        8.200680650386481e-08,
        -1.0866516536735883e-07,
        6.066975741351135e-08,
        -1.0798819539621958e-08,
        -1.111944952595278e-08,
        8.519459636796214e-09,
        -1.009999956941423e-12,
        0.0,
    ]

    # high-pass
    reconstructionHighFilter = [
        0.0,
        1.009999956941423e-12,
        8.519459636796214e-09,
        1.111944952595278e-08,
        -1.0798819539621958e-08,
        -6.066975741351135e-08,
        -1.0866516536735883e-07,
        -8.200680650386481e-08,
        1.1783004497663934e-07,
        5.506340565252278e-07,
        1.1307947017916706e-06,
        1.489549216497156e-06,
        7.367572885903746e-07,
        -3.20544191334478e-06,
        -1.6312699734552807e-05,
        -6.554305930575149e-05,
        -0.0006011502343516092,
        0.002704672124643725,
        0.002202534100911002,
        -0.006045814097323304,
        -0.006387718318497156,
        0.011061496392513451,
        0.015270015130934803,
        -0.017423434103729693,
        -0.03213079399021176,
        0.024348745906078023,
        0.0637390243228016,
        -0.030655091960824263,
        -0.13284520043622938,
        0.035087555656258346,
        0.44459300275757724,
        -0.7445855923188063,
        0.44459300275757724,
        0.035087555656258346,
        -0.13284520043622938,
        -0.030655091960824263,
        0.0637390243228016,
        0.024348745906078023,
        -0.03213079399021176,
        -0.017423434103729693,
        0.015270015130934803,
        0.011061496392513451,
        -0.006387718318497156,
        -0.006045814097323304,
        0.002202534100911002,
        0.002704672124643725,
        -0.0006011502343516092,
        -6.554305930575149e-05,
        -1.6312699734552807e-05,
        -3.20544191334478e-06,
        7.367572885903746e-07,
        1.489549216497156e-06,
        1.1307947017916706e-06,
        5.506340565252278e-07,
        1.1783004497663934e-07,
        -8.200680650386481e-08,
        -1.0866516536735883e-07,
        -6.066975741351135e-08,
        -1.0798819539621958e-08,
        1.111944952595278e-08,
        8.519459636796214e-09,
        1.009999956941423e-12,
    ]

Classes

class Meyer

Properties

near symmetric, orthogonal, biorthogonal

All values are from http://wavelets.pybytes.com/wavelet/dmey/

Expand source code 
class Meyer:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/dmey/
    """
    __name__ = "Meyer Wavelet"
    __motherWaveletLength__ = 62  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        0.0,
        -1.009999956941423e-12,
        8.519459636796214e-09,
        -1.111944952595278e-08,
        -1.0798819539621958e-08,
        6.066975741351135e-08,
        -1.0866516536735883e-07,
        8.200680650386481e-08,
        1.1783004497663934e-07,
        -5.506340565252278e-07,
        1.1307947017916706e-06,
        -1.489549216497156e-06,
        7.367572885903746e-07,
        3.20544191334478e-06,
        -1.6312699734552807e-05,
        6.554305930575149e-05,
        -0.0006011502343516092,
        -0.002704672124643725,
        0.002202534100911002,
        0.006045814097323304,
        -0.006387718318497156,
        -0.011061496392513451,
        0.015270015130934803,
        0.017423434103729693,
        -0.03213079399021176,
        -0.024348745906078023,
        0.0637390243228016,
        0.030655091960824263,
        -0.13284520043622938,
        -0.035087555656258346,
        0.44459300275757724,
        0.7445855923188063,
        0.44459300275757724,
        -0.035087555656258346,
        -0.13284520043622938,
        0.030655091960824263,
        0.0637390243228016,
        -0.024348745906078023,
        -0.03213079399021176,
        0.017423434103729693,
        0.015270015130934803,
        -0.011061496392513451,
        -0.006387718318497156,
        0.006045814097323304,
        0.002202534100911002,
        -0.002704672124643725,
        -0.0006011502343516092,
        6.554305930575149e-05,
        -1.6312699734552807e-05,
        3.20544191334478e-06,
        7.367572885903746e-07,
        -1.489549216497156e-06,
        1.1307947017916706e-06,
        -5.506340565252278e-07,
        1.1783004497663934e-07,
        8.200680650386481e-08,
        -1.0866516536735883e-07,
        6.066975741351135e-08,
        -1.0798819539621958e-08,
        -1.111944952595278e-08,
        8.519459636796214e-09,
        -1.009999956941423e-12,
    ]

    # high-pass
    decompositionHighFilter = [
        1.009999956941423e-12,
        8.519459636796214e-09,
        1.111944952595278e-08,
        -1.0798819539621958e-08,
        -6.066975741351135e-08,
        -1.0866516536735883e-07,
        -8.200680650386481e-08,
        1.1783004497663934e-07,
        5.506340565252278e-07,
        1.1307947017916706e-06,
        1.489549216497156e-06,
        7.367572885903746e-07,
        -3.20544191334478e-06,
        -1.6312699734552807e-05,
        -6.554305930575149e-05,
        -0.0006011502343516092,
        0.002704672124643725,
        0.002202534100911002,
        -0.006045814097323304,
        -0.006387718318497156,
        0.011061496392513451,
        0.015270015130934803,
        -0.017423434103729693,
        -0.03213079399021176,
        0.024348745906078023,
        0.0637390243228016,
        -0.030655091960824263,
        -0.13284520043622938,
        0.035087555656258346,
        0.44459300275757724,
        -0.7445855923188063,
        0.44459300275757724,
        0.035087555656258346,
        -0.13284520043622938,
        -0.030655091960824263,
        0.0637390243228016,
        0.024348745906078023,
        -0.03213079399021176,
        -0.017423434103729693,
        0.015270015130934803,
        0.011061496392513451,
        -0.006387718318497156,
        -0.006045814097323304,
        0.002202534100911002,
        0.002704672124643725,
        -0.0006011502343516092,
        -6.554305930575149e-05,
        -1.6312699734552807e-05,
        -3.20544191334478e-06,
        7.367572885903746e-07,
        1.489549216497156e-06,
        1.1307947017916706e-06,
        5.506340565252278e-07,
        1.1783004497663934e-07,
        -8.200680650386481e-08,
        -1.0866516536735883e-07,
        -6.066975741351135e-08,
        -1.0798819539621958e-08,
        1.111944952595278e-08,
        8.519459636796214e-09,
        1.009999956941423e-12,
        0.0,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        -1.009999956941423e-12,
        8.519459636796214e-09,
        -1.111944952595278e-08,
        -1.0798819539621958e-08,
        6.066975741351135e-08,
        -1.0866516536735883e-07,
        8.200680650386481e-08,
        1.1783004497663934e-07,
        -5.506340565252278e-07,
        1.1307947017916706e-06,
        -1.489549216497156e-06,
        7.367572885903746e-07,
        3.20544191334478e-06,
        -1.6312699734552807e-05,
        6.554305930575149e-05,
        -0.0006011502343516092,
        -0.002704672124643725,
        0.002202534100911002,
        0.006045814097323304,
        -0.006387718318497156,
        -0.011061496392513451,
        0.015270015130934803,
        0.017423434103729693,
        -0.03213079399021176,
        -0.024348745906078023,
        0.0637390243228016,
        0.030655091960824263,
        -0.13284520043622938,
        -0.035087555656258346,
        0.44459300275757724,
        0.7445855923188063,
        0.44459300275757724,
        -0.035087555656258346,
        -0.13284520043622938,
        0.030655091960824263,
        0.0637390243228016,
        -0.024348745906078023,
        -0.03213079399021176,
        0.017423434103729693,
        0.015270015130934803,
        -0.011061496392513451,
        -0.006387718318497156,
        0.006045814097323304,
        0.002202534100911002,
        -0.002704672124643725,
        -0.0006011502343516092,
        6.554305930575149e-05,
        -1.6312699734552807e-05,
        3.20544191334478e-06,
        7.367572885903746e-07,
        -1.489549216497156e-06,
        1.1307947017916706e-06,
        -5.506340565252278e-07,
        1.1783004497663934e-07,
        8.200680650386481e-08,
        -1.0866516536735883e-07,
        6.066975741351135e-08,
        -1.0798819539621958e-08,
        -1.111944952595278e-08,
        8.519459636796214e-09,
        -1.009999956941423e-12,
        0.0,
    ]

    # high-pass
    reconstructionHighFilter = [
        0.0,
        1.009999956941423e-12,
        8.519459636796214e-09,
        1.111944952595278e-08,
        -1.0798819539621958e-08,
        -6.066975741351135e-08,
        -1.0866516536735883e-07,
        -8.200680650386481e-08,
        1.1783004497663934e-07,
        5.506340565252278e-07,
        1.1307947017916706e-06,
        1.489549216497156e-06,
        7.367572885903746e-07,
        -3.20544191334478e-06,
        -1.6312699734552807e-05,
        -6.554305930575149e-05,
        -0.0006011502343516092,
        0.002704672124643725,
        0.002202534100911002,
        -0.006045814097323304,
        -0.006387718318497156,
        0.011061496392513451,
        0.015270015130934803,
        -0.017423434103729693,
        -0.03213079399021176,
        0.024348745906078023,
        0.0637390243228016,
        -0.030655091960824263,
        -0.13284520043622938,
        0.035087555656258346,
        0.44459300275757724,
        -0.7445855923188063,
        0.44459300275757724,
        0.035087555656258346,
        -0.13284520043622938,
        -0.030655091960824263,
        0.0637390243228016,
        0.024348745906078023,
        -0.03213079399021176,
        -0.017423434103729693,
        0.015270015130934803,
        0.011061496392513451,
        -0.006387718318497156,
        -0.006045814097323304,
        0.002202534100911002,
        0.002704672124643725,
        -0.0006011502343516092,
        -6.554305930575149e-05,
        -1.6312699734552807e-05,
        -3.20544191334478e-06,
        7.367572885903746e-07,
        1.489549216497156e-06,
        1.1307947017916706e-06,
        5.506340565252278e-07,
        1.1783004497663934e-07,
        -8.200680650386481e-08,
        -1.0866516536735883e-07,
        -6.066975741351135e-08,
        -1.0798819539621958e-08,
        1.111944952595278e-08,
        8.519459636796214e-09,
        1.009999956941423e-12,
    ]

Class variables

var decompositionHighFilter
var decompositionLowFilter
var reconstructionHighFilter
var reconstructionLowFilter