Module wavelet.wavelets.db15

Daubechies 15 wavelet

""" Daubechies 15 wavelet """


class Daubechies15:
    """
    Properties
    ----------
    asymmetric, orthogonal, bi-orthogonal

    All values are from http://wavelets.pybytes.com/wavelet/db15/
    """
    __name__ = "Daubechies Wavelet 15"
    __motherWaveletLength__ = 30  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        6.133359913303714e-08,
        - 6.316882325879451e-07,
        1.8112704079399406e-06,
        3.3629871817363823e-06,
        - 2.8133296266037558e-05,
        2.579269915531323e-05,
        0.00015589648992055726,
        - 0.00035956524436229364,
        - 0.0003734823541372647,
        0.0019433239803823459,
        - 0.00024175649075894543,
        - 0.0064877345603061454,
        0.005101000360422873,
        0.015083918027862582,
        - 0.020810050169636805,
        - 0.02576700732836694,
        0.054780550584559995,
        0.033877143923563204,
        - 0.11112093603713753,
        - 0.0396661765557336,
        0.19014671400708816,
        0.06528295284876569,
        - 0.28888259656686216,
        - 0.19320413960907623,
        0.33900253545462167,
        0.6458131403572103,
        0.4926317717079753,
        0.20602386398692688,
        0.04674339489275062,
        0.004538537361577376
    ]

    # high-pass
    decompositionHighFilter = [
        -0.004538537361577376,
        0.04674339489275062,
        - 0.20602386398692688,
        0.4926317717079753,
        - 0.6458131403572103,
        0.33900253545462167,
        0.19320413960907623,
        - 0.28888259656686216,
        - 0.06528295284876569,
        0.19014671400708816,
        0.0396661765557336,
        - 0.11112093603713753,
        - 0.033877143923563204,
        0.054780550584559995,
        0.02576700732836694,
        - 0.020810050169636805,
        - 0.015083918027862582,
        0.005101000360422873,
        0.0064877345603061454,
        - 0.00024175649075894543,
        - 0.0019433239803823459,
        - 0.0003734823541372647,
        0.00035956524436229364,
        0.00015589648992055726,
        - 2.579269915531323e-05,
        - 2.8133296266037558e-05,
        - 3.3629871817363823e-06,
        1.8112704079399406e-06,
        6.316882325879451e-07,
        6.133359913303714e-08
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        0.004538537361577376,
        0.04674339489275062,
        0.20602386398692688,
        0.4926317717079753,
        0.6458131403572103,
        0.33900253545462167,
        - 0.19320413960907623,
        - 0.28888259656686216,
        0.06528295284876569,
        0.19014671400708816,
        - 0.0396661765557336,
        - 0.11112093603713753,
        0.033877143923563204,
        0.054780550584559995,
        - 0.02576700732836694,
        - 0.020810050169636805,
        0.015083918027862582,
        0.005101000360422873,
        - 0.0064877345603061454,
        - 0.00024175649075894543,
        0.0019433239803823459,
        - 0.0003734823541372647,
        - 0.00035956524436229364,
        0.00015589648992055726,
        2.579269915531323e-05,
        - 2.8133296266037558e-05,
        3.3629871817363823e-06,
        1.8112704079399406e-06,
        - 6.316882325879451e-07,
        6.133359913303714e-08
    ]

    # high-pass
    reconstructionHighFilter = [
        6.133359913303714e-08,
        6.316882325879451e-07,
        1.8112704079399406e-06,
        - 3.3629871817363823e-06,
        - 2.8133296266037558e-05,
        - 2.579269915531323e-05,
        0.00015589648992055726,
        0.00035956524436229364,
        - 0.0003734823541372647,
        - 0.0019433239803823459,
        - 0.00024175649075894543,
        0.0064877345603061454,
        0.005101000360422873,
        - 0.015083918027862582,
        - 0.020810050169636805,
        0.02576700732836694,
        0.054780550584559995,
        - 0.033877143923563204,
        - 0.11112093603713753,
        0.0396661765557336,
        0.19014671400708816,
        - 0.06528295284876569,
        - 0.28888259656686216,
        0.19320413960907623,
        0.33900253545462167,
        - 0.6458131403572103,
        0.4926317717079753,
        - 0.20602386398692688,
        0.04674339489275062,
        - 0.004538537361577376
    ]

Classes

class Daubechies15

Properties

asymmetric, orthogonal, bi-orthogonal

All values are from http://wavelets.pybytes.com/wavelet/db15/

Expand source code

class Daubechies15:
    """
    Properties
    ----------
    asymmetric, orthogonal, bi-orthogonal

    All values are from http://wavelets.pybytes.com/wavelet/db15/
    """
    __name__ = "Daubechies Wavelet 15"
    __motherWaveletLength__ = 30  # length of the mother wavelet
    __transformWaveletLength__ = 2  # minimum wavelength of input signal

    # decomposition filter
    # low-pass
    decompositionLowFilter = [
        6.133359913303714e-08,
        - 6.316882325879451e-07,
        1.8112704079399406e-06,
        3.3629871817363823e-06,
        - 2.8133296266037558e-05,
        2.579269915531323e-05,
        0.00015589648992055726,
        - 0.00035956524436229364,
        - 0.0003734823541372647,
        0.0019433239803823459,
        - 0.00024175649075894543,
        - 0.0064877345603061454,
        0.005101000360422873,
        0.015083918027862582,
        - 0.020810050169636805,
        - 0.02576700732836694,
        0.054780550584559995,
        0.033877143923563204,
        - 0.11112093603713753,
        - 0.0396661765557336,
        0.19014671400708816,
        0.06528295284876569,
        - 0.28888259656686216,
        - 0.19320413960907623,
        0.33900253545462167,
        0.6458131403572103,
        0.4926317717079753,
        0.20602386398692688,
        0.04674339489275062,
        0.004538537361577376
    ]

    # high-pass
    decompositionHighFilter = [
        -0.004538537361577376,
        0.04674339489275062,
        - 0.20602386398692688,
        0.4926317717079753,
        - 0.6458131403572103,
        0.33900253545462167,
        0.19320413960907623,
        - 0.28888259656686216,
        - 0.06528295284876569,
        0.19014671400708816,
        0.0396661765557336,
        - 0.11112093603713753,
        - 0.033877143923563204,
        0.054780550584559995,
        0.02576700732836694,
        - 0.020810050169636805,
        - 0.015083918027862582,
        0.005101000360422873,
        0.0064877345603061454,
        - 0.00024175649075894543,
        - 0.0019433239803823459,
        - 0.0003734823541372647,
        0.00035956524436229364,
        0.00015589648992055726,
        - 2.579269915531323e-05,
        - 2.8133296266037558e-05,
        - 3.3629871817363823e-06,
        1.8112704079399406e-06,
        6.316882325879451e-07,
        6.133359913303714e-08
    ]

    # reconstruction filters
    # low pass
    reconstructionLowFilter = [
        0.004538537361577376,
        0.04674339489275062,
        0.20602386398692688,
        0.4926317717079753,
        0.6458131403572103,
        0.33900253545462167,
        - 0.19320413960907623,
        - 0.28888259656686216,
        0.06528295284876569,
        0.19014671400708816,
        - 0.0396661765557336,
        - 0.11112093603713753,
        0.033877143923563204,
        0.054780550584559995,
        - 0.02576700732836694,
        - 0.020810050169636805,
        0.015083918027862582,
        0.005101000360422873,
        - 0.0064877345603061454,
        - 0.00024175649075894543,
        0.0019433239803823459,
        - 0.0003734823541372647,
        - 0.00035956524436229364,
        0.00015589648992055726,
        2.579269915531323e-05,
        - 2.8133296266037558e-05,
        3.3629871817363823e-06,
        1.8112704079399406e-06,
        - 6.316882325879451e-07,
        6.133359913303714e-08
    ]

    # high-pass
    reconstructionHighFilter = [
        6.133359913303714e-08,
        6.316882325879451e-07,
        1.8112704079399406e-06,
        - 3.3629871817363823e-06,
        - 2.8133296266037558e-05,
        - 2.579269915531323e-05,
        0.00015589648992055726,
        0.00035956524436229364,
        - 0.0003734823541372647,
        - 0.0019433239803823459,
        - 0.00024175649075894543,
        0.0064877345603061454,
        0.005101000360422873,
        - 0.015083918027862582,
        - 0.020810050169636805,
        0.02576700732836694,
        0.054780550584559995,
        - 0.033877143923563204,
        - 0.11112093603713753,
        0.0396661765557336,
        0.19014671400708816,
        - 0.06528295284876569,
        - 0.28888259656686216,
        0.19320413960907623,
        0.33900253545462167,
        - 0.6458131403572103,
        0.4926317717079753,
        - 0.20602386398692688,
        0.04674339489275062,
        - 0.004538537361577376
    ]

Class variables

var decompositionHighFilter

var decompositionLowFilter

var reconstructionHighFilter

var reconstructionLowFilter