Module wavelet.wavelets.coif5

Coiflets 5 wavelet

""" Coiflets 5 wavelet """


class Coiflets5:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/coif5/
    """
    __name__ = "Coiflets Wavelet 5"
    __motherWaveletLength__ = 30  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        -9.517657273819165e-08,
        -1.6744288576823017e-07,
        2.0637618513646814e-06,
        3.7346551751414047e-06,
        -2.1315026809955787e-05,
        -4.134043227251251e-05,
        0.00014054114970203437,
        0.00030225958181306315,
        -0.0006381313430451114,
        -0.0016628637020130838,
        0.0024333732126576722,
        0.006764185448053083,
        -0.009164231162481846,
        -0.01976177894257264,
        0.03268357426711183,
        0.0412892087501817,
        -0.10557420870333893,
        -0.06203596396290357,
        0.4379916261718371,
        0.7742896036529562,
        0.4215662066908515,
        -0.05204316317624377,
        -0.09192001055969624,
        0.02816802897093635,
        0.023408156785839195,
        -0.010131117519849788,
        -0.004159358781386048,
        0.0021782363581090178,
        0.00035858968789573785,
        -0.00021208083980379827,
    ]

    # high-pass
    decompositionHighFilter = [
        0.00021208083980379827,
        0.00035858968789573785,
        -0.0021782363581090178,
        -0.004159358781386048,
        0.010131117519849788,
        0.023408156785839195,
        -0.02816802897093635,
        -0.09192001055969624,
        0.05204316317624377,
        0.4215662066908515,
        -0.7742896036529562,
        0.4379916261718371,
        0.06203596396290357,
        -0.10557420870333893,
        -0.0412892087501817,
        0.03268357426711183,
        0.01976177894257264,
        -0.009164231162481846,
        -0.006764185448053083,
        0.0024333732126576722,
        0.0016628637020130838,
        -0.0006381313430451114,
        -0.00030225958181306315,
        0.00014054114970203437,
        4.134043227251251e-05,
        -2.1315026809955787e-05,
        -3.7346551751414047e-06,
        2.0637618513646814e-06,
        1.6744288576823017e-07,
        -9.517657273819165e-08,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        -0.00021208083980379827,
        0.00035858968789573785,
        0.0021782363581090178,
        -0.004159358781386048,
        -0.010131117519849788,
        0.023408156785839195,
        0.02816802897093635,
        -0.09192001055969624,
        -0.05204316317624377,
        0.4215662066908515,
        0.7742896036529562,
        0.4379916261718371,
        -0.06203596396290357,
        -0.10557420870333893,
        0.0412892087501817,
        0.03268357426711183,
        -0.01976177894257264,
        -0.009164231162481846,
        0.006764185448053083,
        0.0024333732126576722,
        -0.0016628637020130838,
        -0.0006381313430451114,
        0.00030225958181306315,
        0.00014054114970203437,
        -4.134043227251251e-05,
        -2.1315026809955787e-05,
        3.7346551751414047e-06,
        2.0637618513646814e-06,
        -1.6744288576823017e-07,
        -9.517657273819165e-08,
    ]

    # high-pass
    reconstructionHighFilter = [
        -9.517657273819165e-08,
        1.6744288576823017e-07,
        2.0637618513646814e-06,
        -3.7346551751414047e-06,
        -2.1315026809955787e-05,
        4.134043227251251e-05,
        0.00014054114970203437,
        -0.00030225958181306315,
        -0.0006381313430451114,
        0.0016628637020130838,
        0.0024333732126576722,
        -0.006764185448053083,
        -0.009164231162481846,
        0.01976177894257264,
        0.03268357426711183,
        -0.0412892087501817,
        -0.10557420870333893,
        0.06203596396290357,
        0.4379916261718371,
        -0.7742896036529562,
        0.4215662066908515,
        0.05204316317624377,
        -0.09192001055969624,
        -0.02816802897093635,
        0.023408156785839195,
        0.010131117519849788,
        -0.004159358781386048,
        -0.0021782363581090178,
        0.00035858968789573785,
        0.00021208083980379827,
    ]

Classes

class Coiflets5

Properties

near symmetric, orthogonal, biorthogonal

All values are from http://wavelets.pybytes.com/wavelet/coif5/

Expand source code

class Coiflets5:
    """
    Properties
    ----------
     near symmetric, orthogonal, biorthogonal

    All values are from http://wavelets.pybytes.com/wavelet/coif5/
    """
    __name__ = "Coiflets Wavelet 5"
    __motherWaveletLength__ = 30  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        -9.517657273819165e-08,
        -1.6744288576823017e-07,
        2.0637618513646814e-06,
        3.7346551751414047e-06,
        -2.1315026809955787e-05,
        -4.134043227251251e-05,
        0.00014054114970203437,
        0.00030225958181306315,
        -0.0006381313430451114,
        -0.0016628637020130838,
        0.0024333732126576722,
        0.006764185448053083,
        -0.009164231162481846,
        -0.01976177894257264,
        0.03268357426711183,
        0.0412892087501817,
        -0.10557420870333893,
        -0.06203596396290357,
        0.4379916261718371,
        0.7742896036529562,
        0.4215662066908515,
        -0.05204316317624377,
        -0.09192001055969624,
        0.02816802897093635,
        0.023408156785839195,
        -0.010131117519849788,
        -0.004159358781386048,
        0.0021782363581090178,
        0.00035858968789573785,
        -0.00021208083980379827,
    ]

    # high-pass
    decompositionHighFilter = [
        0.00021208083980379827,
        0.00035858968789573785,
        -0.0021782363581090178,
        -0.004159358781386048,
        0.010131117519849788,
        0.023408156785839195,
        -0.02816802897093635,
        -0.09192001055969624,
        0.05204316317624377,
        0.4215662066908515,
        -0.7742896036529562,
        0.4379916261718371,
        0.06203596396290357,
        -0.10557420870333893,
        -0.0412892087501817,
        0.03268357426711183,
        0.01976177894257264,
        -0.009164231162481846,
        -0.006764185448053083,
        0.0024333732126576722,
        0.0016628637020130838,
        -0.0006381313430451114,
        -0.00030225958181306315,
        0.00014054114970203437,
        4.134043227251251e-05,
        -2.1315026809955787e-05,
        -3.7346551751414047e-06,
        2.0637618513646814e-06,
        1.6744288576823017e-07,
        -9.517657273819165e-08,
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        -0.00021208083980379827,
        0.00035858968789573785,
        0.0021782363581090178,
        -0.004159358781386048,
        -0.010131117519849788,
        0.023408156785839195,
        0.02816802897093635,
        -0.09192001055969624,
        -0.05204316317624377,
        0.4215662066908515,
        0.7742896036529562,
        0.4379916261718371,
        -0.06203596396290357,
        -0.10557420870333893,
        0.0412892087501817,
        0.03268357426711183,
        -0.01976177894257264,
        -0.009164231162481846,
        0.006764185448053083,
        0.0024333732126576722,
        -0.0016628637020130838,
        -0.0006381313430451114,
        0.00030225958181306315,
        0.00014054114970203437,
        -4.134043227251251e-05,
        -2.1315026809955787e-05,
        3.7346551751414047e-06,
        2.0637618513646814e-06,
        -1.6744288576823017e-07,
        -9.517657273819165e-08,
    ]

    # high-pass
    reconstructionHighFilter = [
        -9.517657273819165e-08,
        1.6744288576823017e-07,
        2.0637618513646814e-06,
        -3.7346551751414047e-06,
        -2.1315026809955787e-05,
        4.134043227251251e-05,
        0.00014054114970203437,
        -0.00030225958181306315,
        -0.0006381313430451114,
        0.0016628637020130838,
        0.0024333732126576722,
        -0.006764185448053083,
        -0.009164231162481846,
        0.01976177894257264,
        0.03268357426711183,
        -0.0412892087501817,
        -0.10557420870333893,
        0.06203596396290357,
        0.4379916261718371,
        -0.7742896036529562,
        0.4215662066908515,
        0.05204316317624377,
        -0.09192001055969624,
        -0.02816802897093635,
        0.023408156785839195,
        0.010131117519849788,
        -0.004159358781386048,
        -0.0021782363581090178,
        0.00035858968789573785,
        0.00021208083980379827,
    ]

Class variables

var decompositionHighFilter

var decompositionLowFilter

var reconstructionHighFilter

var reconstructionLowFilter