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Showing content from https://micropython-ulab.readthedocs.io/en/latest/scipy-signal.html below:

scipy.signal — The ulab book 6.9.0 documentation

This module defines the single function:

1. scipy.signal.sosfilt

scipy: https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.sosfilt.html

Filter data along one dimension using cascaded second-order sections.

The function takes two positional arguments, sos, the filter segments of length 6, and the one-dimensional, uniformly sampled data set to be filtered. Returns the filtered data, or the filtered data and the final filter delays, if the zi keyword arguments is supplied. The keyword argument must be a float ndarray of shape (n_sections, 2). If zi is not passed to the function, the initial values are assumed to be 0.

# code to be run in micropython

from ulab import numpy as np
from ulab import scipy as spy

x = np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
sos = [[1, 2, 3, 1, 5, 6], [1, 2, 3, 1, 5, 6]]
y = spy.signal.sosfilt(sos, x)
print('y: ', y)

y:  array([0.0, 1.0, -4.0, 24.0, -104.0, 440.0, -1728.0, 6532.000000000001, -23848.0, 84864.0], dtype=float)

# code to be run in micropython

from ulab import numpy as np
from ulab import scipy as spy

x = np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
sos = [[1, 2, 3, 1, 5, 6], [1, 2, 3, 1, 5, 6]]
# initial conditions of the filter
zi = np.array([[1, 2], [3, 4]])

y, zf = spy.signal.sosfilt(sos, x, zi=zi)
print('y: ', y)
print('\n' + '='*40 + '\nzf: ', zf)

y:  array([4.0, -16.0, 63.00000000000001, -227.0, 802.9999999999999, -2751.0, 9271.000000000001, -30775.0, 101067.0, -328991.0000000001], dtype=float)

========================================
zf:  array([[37242.0, 74835.0],
     [1026187.0, 1936542.0]], dtype=float)

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