Module wavelet.wavelets.sym17

Symlet 17 wavelet

""" Symlet 17 wavelet """


class Symlet17:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/sym17/
    """
    __name__ = "Symlet Wavelet 17"
    __motherWaveletLength__ = 34  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        4.297343327345983e-06,
        2.7801266938414138e-06,
        -6.293702597554192e-05,
        -1.3506383399901165e-05,
        0.0004759963802638669,
        -0.000138642302680455,
        -0.0027416759756816018,
        0.0008567700701915741,
        0.010482366933031529,
        -0.004819212803176148,
        -0.03329138349235933,
        0.01790395221434112,
        0.10475461484223211,
        0.0172711782105185,
        -0.11856693261143636,
        0.1423983504146782,
        0.6507166292045456,
        0.681488995344925,
        0.18053958458111286,
        -0.15507600534974825,
        -0.08607087472073338,
        0.016158808725919346,
        -0.007261634750928767,
        -0.01803889724191924,
        0.009952982523509598,
        0.012396988366648726,
        -0.001905407689852666,
        -0.003932325279797902,
        5.8400428694052584e-05,
        0.0007198270642148971,
        2.520793314082878e-05,
        -7.607124405605129e-05,
        -2.4527163425833e-06,
        3.7912531943321266e-06,
    ]

    # high-pass
    decompositionHighFilter = [
        -3.7912531943321266e-06,
        -2.4527163425833e-06,
        7.607124405605129e-05,
        2.520793314082878e-05,
        -0.0007198270642148971,
        5.8400428694052584e-05,
        0.003932325279797902,
        -0.001905407689852666,
        -0.012396988366648726,
        0.009952982523509598,
        0.01803889724191924,
        -0.007261634750928767,
        -0.016158808725919346,
        -0.08607087472073338,
        0.15507600534974825,
        0.18053958458111286,
        -0.681488995344925,
        0.6507166292045456,
        -0.1423983504146782,
        -0.11856693261143636,
        -0.0172711782105185,
        0.10475461484223211,
        -0.01790395221434112,
        -0.03329138349235933,
        0.004819212803176148,
        0.010482366933031529,
        -0.0008567700701915741,
        -0.0027416759756816018,
        0.000138642302680455,
        0.0004759963802638669,
        1.3506383399901165e-05,
        -6.293702597554192e-05,
        -2.7801266938414138e-06,
        4.297343327345983e-06,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        3.7912531943321266e-06,
        -2.4527163425833e-06,
        -7.607124405605129e-05,
        2.520793314082878e-05,
        0.0007198270642148971,
        5.8400428694052584e-05,
        -0.003932325279797902,
        -0.001905407689852666,
        0.012396988366648726,
        0.009952982523509598,
        -0.01803889724191924,
        -0.007261634750928767,
        0.016158808725919346,
        -0.08607087472073338,
        -0.15507600534974825,
        0.18053958458111286,
        0.681488995344925,
        0.6507166292045456,
        0.1423983504146782,
        -0.11856693261143636,
        0.0172711782105185,
        0.10475461484223211,
        0.01790395221434112,
        -0.03329138349235933,
        -0.004819212803176148,
        0.010482366933031529,
        0.0008567700701915741,
        -0.0027416759756816018,
        -0.000138642302680455,
        0.0004759963802638669,
        -1.3506383399901165e-05,
        -6.293702597554192e-05,
        2.7801266938414138e-06,
        4.297343327345983e-06,
    ]

    # high-pass
    reconstructionHighFilter = [
        4.297343327345983e-06,
        -2.7801266938414138e-06,
        -6.293702597554192e-05,
        1.3506383399901165e-05,
        0.0004759963802638669,
        0.000138642302680455,
        -0.0027416759756816018,
        -0.0008567700701915741,
        0.010482366933031529,
        0.004819212803176148,
        -0.03329138349235933,
        -0.01790395221434112,
        0.10475461484223211,
        -0.0172711782105185,
        -0.11856693261143636,
        -0.1423983504146782,
        0.6507166292045456,
        -0.681488995344925,
        0.18053958458111286,
        0.15507600534974825,
        -0.08607087472073338,
        -0.016158808725919346,
        -0.007261634750928767,
        0.01803889724191924,
        0.009952982523509598,
        -0.012396988366648726,
        -0.001905407689852666,
        0.003932325279797902,
        5.8400428694052584e-05,
        -0.0007198270642148971,
        2.520793314082878e-05,
        7.607124405605129e-05,
        -2.4527163425833e-06,
        -3.7912531943321266e-06,
    ]

Classes

class Symlet17

Properties

near symmetric, orthogonal, biorthogonal

All values are from http://wavelets.pybytes.com/wavelet/sym17/

Expand source code

class Symlet17:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/sym17/
    """
    __name__ = "Symlet Wavelet 17"
    __motherWaveletLength__ = 34  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        4.297343327345983e-06,
        2.7801266938414138e-06,
        -6.293702597554192e-05,
        -1.3506383399901165e-05,
        0.0004759963802638669,
        -0.000138642302680455,
        -0.0027416759756816018,
        0.0008567700701915741,
        0.010482366933031529,
        -0.004819212803176148,
        -0.03329138349235933,
        0.01790395221434112,
        0.10475461484223211,
        0.0172711782105185,
        -0.11856693261143636,
        0.1423983504146782,
        0.6507166292045456,
        0.681488995344925,
        0.18053958458111286,
        -0.15507600534974825,
        -0.08607087472073338,
        0.016158808725919346,
        -0.007261634750928767,
        -0.01803889724191924,
        0.009952982523509598,
        0.012396988366648726,
        -0.001905407689852666,
        -0.003932325279797902,
        5.8400428694052584e-05,
        0.0007198270642148971,
        2.520793314082878e-05,
        -7.607124405605129e-05,
        -2.4527163425833e-06,
        3.7912531943321266e-06,
    ]

    # high-pass
    decompositionHighFilter = [
        -3.7912531943321266e-06,
        -2.4527163425833e-06,
        7.607124405605129e-05,
        2.520793314082878e-05,
        -0.0007198270642148971,
        5.8400428694052584e-05,
        0.003932325279797902,
        -0.001905407689852666,
        -0.012396988366648726,
        0.009952982523509598,
        0.01803889724191924,
        -0.007261634750928767,
        -0.016158808725919346,
        -0.08607087472073338,
        0.15507600534974825,
        0.18053958458111286,
        -0.681488995344925,
        0.6507166292045456,
        -0.1423983504146782,
        -0.11856693261143636,
        -0.0172711782105185,
        0.10475461484223211,
        -0.01790395221434112,
        -0.03329138349235933,
        0.004819212803176148,
        0.010482366933031529,
        -0.0008567700701915741,
        -0.0027416759756816018,
        0.000138642302680455,
        0.0004759963802638669,
        1.3506383399901165e-05,
        -6.293702597554192e-05,
        -2.7801266938414138e-06,
        4.297343327345983e-06,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        3.7912531943321266e-06,
        -2.4527163425833e-06,
        -7.607124405605129e-05,
        2.520793314082878e-05,
        0.0007198270642148971,
        5.8400428694052584e-05,
        -0.003932325279797902,
        -0.001905407689852666,
        0.012396988366648726,
        0.009952982523509598,
        -0.01803889724191924,
        -0.007261634750928767,
        0.016158808725919346,
        -0.08607087472073338,
        -0.15507600534974825,
        0.18053958458111286,
        0.681488995344925,
        0.6507166292045456,
        0.1423983504146782,
        -0.11856693261143636,
        0.0172711782105185,
        0.10475461484223211,
        0.01790395221434112,
        -0.03329138349235933,
        -0.004819212803176148,
        0.010482366933031529,
        0.0008567700701915741,
        -0.0027416759756816018,
        -0.000138642302680455,
        0.0004759963802638669,
        -1.3506383399901165e-05,
        -6.293702597554192e-05,
        2.7801266938414138e-06,
        4.297343327345983e-06,
    ]

    # high-pass
    reconstructionHighFilter = [
        4.297343327345983e-06,
        -2.7801266938414138e-06,
        -6.293702597554192e-05,
        1.3506383399901165e-05,
        0.0004759963802638669,
        0.000138642302680455,
        -0.0027416759756816018,
        -0.0008567700701915741,
        0.010482366933031529,
        0.004819212803176148,
        -0.03329138349235933,
        -0.01790395221434112,
        0.10475461484223211,
        -0.0172711782105185,
        -0.11856693261143636,
        -0.1423983504146782,
        0.6507166292045456,
        -0.681488995344925,
        0.18053958458111286,
        0.15507600534974825,
        -0.08607087472073338,
        -0.016158808725919346,
        -0.007261634750928767,
        0.01803889724191924,
        0.009952982523509598,
        -0.012396988366648726,
        -0.001905407689852666,
        0.003932325279797902,
        5.8400428694052584e-05,
        -0.0007198270642148971,
        2.520793314082878e-05,
        7.607124405605129e-05,
        -2.4527163425833e-06,
        -3.7912531943321266e-06,
    ]

Class variables

var decompositionHighFilter

var decompositionLowFilter

var reconstructionHighFilter

var reconstructionLowFilter