Module wavelet.wavelets.sym13

Symlet 13 wavelet

""" Symlet 13 wavelet """


class Symlet13:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/sym13/
    """
    __name__ = "Symlet Wavelet 13"
    __motherWaveletLength__ = 26  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        6.820325263075319e-05,
        -3.573862364868901e-05,
        -0.0011360634389281183,
        -0.0001709428585302221,
        0.0075262253899681,
        0.005296359738725025,
        -0.02021676813338983,
        -0.017211642726299048,
        0.013862497435849205,
        -0.0597506277179437,
        -0.12436246075153011,
        0.19770481877117801,
        0.6957391505614964,
        0.6445643839011856,
        0.11023022302137217,
        -0.14049009311363403,
        0.008819757670420546,
        0.09292603089913712,
        0.017618296880653084,
        -0.020749686325515677,
        -0.0014924472742598532,
        0.0056748537601224395,
        0.00041326119884196064,
        -0.0007213643851362283,
        3.690537342319624e-05,
        7.042986690694402e-05,
    ]

    # high-pass
    decompositionHighFilter = [
        -7.042986690694402e-05,
        3.690537342319624e-05,
        0.0007213643851362283,
        0.00041326119884196064,
        -0.0056748537601224395,
        -0.0014924472742598532,
        0.020749686325515677,
        0.017618296880653084,
        -0.09292603089913712,
        0.008819757670420546,
        0.14049009311363403,
        0.11023022302137217,
        -0.6445643839011856,
        0.6957391505614964,
        -0.19770481877117801,
        -0.12436246075153011,
        0.0597506277179437,
        0.013862497435849205,
        0.017211642726299048,
        -0.02021676813338983,
        -0.005296359738725025,
        0.0075262253899681,
        0.0001709428585302221,
        -0.0011360634389281183,
        3.573862364868901e-05,
        6.820325263075319e-05,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        7.042986690694402e-05,
        3.690537342319624e-05,
        -0.0007213643851362283,
        0.00041326119884196064,
        0.0056748537601224395,
        -0.0014924472742598532,
        -0.020749686325515677,
        0.017618296880653084,
        0.09292603089913712,
        0.008819757670420546,
        -0.14049009311363403,
        0.11023022302137217,
        0.6445643839011856,
        0.6957391505614964,
        0.19770481877117801,
        -0.12436246075153011,
        -0.0597506277179437,
        0.013862497435849205,
        -0.017211642726299048,
        -0.02021676813338983,
        0.005296359738725025,
        0.0075262253899681,
        -0.0001709428585302221,
        -0.0011360634389281183,
        -3.573862364868901e-05,
        6.820325263075319e-05,
    ]

    # high-pass
    reconstructionHighFilter = [
        6.820325263075319e-05,
        3.573862364868901e-05,
        -0.0011360634389281183,
        0.0001709428585302221,
        0.0075262253899681,
        -0.005296359738725025,
        -0.02021676813338983,
        0.017211642726299048,
        0.013862497435849205,
        0.0597506277179437,
        -0.12436246075153011,
        -0.19770481877117801,
        0.6957391505614964,
        -0.6445643839011856,
        0.11023022302137217,
        0.14049009311363403,
        0.008819757670420546,
        -0.09292603089913712,
        0.017618296880653084,
        0.020749686325515677,
        -0.0014924472742598532,
        -0.0056748537601224395,
        0.00041326119884196064,
        0.0007213643851362283,
        3.690537342319624e-05,
        -7.042986690694402e-05,
    ]

Classes

class Symlet13

Properties

near symmetric, orthogonal, biorthogonal

All values are from http://wavelets.pybytes.com/wavelet/sym13/

Expand source code

class Symlet13:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/sym13/
    """
    __name__ = "Symlet Wavelet 13"
    __motherWaveletLength__ = 26  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        6.820325263075319e-05,
        -3.573862364868901e-05,
        -0.0011360634389281183,
        -0.0001709428585302221,
        0.0075262253899681,
        0.005296359738725025,
        -0.02021676813338983,
        -0.017211642726299048,
        0.013862497435849205,
        -0.0597506277179437,
        -0.12436246075153011,
        0.19770481877117801,
        0.6957391505614964,
        0.6445643839011856,
        0.11023022302137217,
        -0.14049009311363403,
        0.008819757670420546,
        0.09292603089913712,
        0.017618296880653084,
        -0.020749686325515677,
        -0.0014924472742598532,
        0.0056748537601224395,
        0.00041326119884196064,
        -0.0007213643851362283,
        3.690537342319624e-05,
        7.042986690694402e-05,
    ]

    # high-pass
    decompositionHighFilter = [
        -7.042986690694402e-05,
        3.690537342319624e-05,
        0.0007213643851362283,
        0.00041326119884196064,
        -0.0056748537601224395,
        -0.0014924472742598532,
        0.020749686325515677,
        0.017618296880653084,
        -0.09292603089913712,
        0.008819757670420546,
        0.14049009311363403,
        0.11023022302137217,
        -0.6445643839011856,
        0.6957391505614964,
        -0.19770481877117801,
        -0.12436246075153011,
        0.0597506277179437,
        0.013862497435849205,
        0.017211642726299048,
        -0.02021676813338983,
        -0.005296359738725025,
        0.0075262253899681,
        0.0001709428585302221,
        -0.0011360634389281183,
        3.573862364868901e-05,
        6.820325263075319e-05,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        7.042986690694402e-05,
        3.690537342319624e-05,
        -0.0007213643851362283,
        0.00041326119884196064,
        0.0056748537601224395,
        -0.0014924472742598532,
        -0.020749686325515677,
        0.017618296880653084,
        0.09292603089913712,
        0.008819757670420546,
        -0.14049009311363403,
        0.11023022302137217,
        0.6445643839011856,
        0.6957391505614964,
        0.19770481877117801,
        -0.12436246075153011,
        -0.0597506277179437,
        0.013862497435849205,
        -0.017211642726299048,
        -0.02021676813338983,
        0.005296359738725025,
        0.0075262253899681,
        -0.0001709428585302221,
        -0.0011360634389281183,
        -3.573862364868901e-05,
        6.820325263075319e-05,
    ]

    # high-pass
    reconstructionHighFilter = [
        6.820325263075319e-05,
        3.573862364868901e-05,
        -0.0011360634389281183,
        0.0001709428585302221,
        0.0075262253899681,
        -0.005296359738725025,
        -0.02021676813338983,
        0.017211642726299048,
        0.013862497435849205,
        0.0597506277179437,
        -0.12436246075153011,
        -0.19770481877117801,
        0.6957391505614964,
        -0.6445643839011856,
        0.11023022302137217,
        0.14049009311363403,
        0.008819757670420546,
        -0.09292603089913712,
        0.017618296880653084,
        0.020749686325515677,
        -0.0014924472742598532,
        -0.0056748537601224395,
        0.00041326119884196064,
        0.0007213643851362283,
        3.690537342319624e-05,
        -7.042986690694402e-05,
    ]

Class variables

var decompositionHighFilter

var decompositionLowFilter

var reconstructionHighFilter

var reconstructionLowFilter