Created
June 26, 2018 22:53
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Streaming peak detection based on https://stackoverflow.com/questions/22583391/peak-signal-detection-in-realtime-timeseries-data/22640362#22640362
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from window_avg_std import window_avg_std | |
def peak_detection(window, threshold, influence): | |
""" Smoothed z-score algo | |
https://stackoverflow.com/questions/22583391/peak-signal-detection-in-realtime-timeseries-data/43512887#43512887 """ | |
elem = yield # get first elem | |
prev_elem = elem # previous elem (influenced) | |
elem_index = 0 | |
prev_avg = elem | |
prev_std = 0 | |
stat = window_avg_std(window) | |
next(stat) # roll generator to first yeild | |
while True: | |
# print(f'elem: {elem}, prev_avg: {prev_avg}, prev_std: {prev_std}, index: {elem_index}') | |
if abs(elem - prev_avg) > threshold * prev_std and \ | |
elem_index >= window-1: # detection starts after first window'th elements | |
signal = 1 if elem > prev_avg else -1 | |
elem = influence * elem + (1-influence) * prev_elem # smooth peak | |
else: | |
signal = 0 | |
prev_avg, prev_std = stat.send(elem) | |
prev_elem = elem | |
elem_index += 1 | |
elem = yield signal | |
if __name__ == '__main__': | |
data = [1, 1, 1.1, 1, 0.9, 1, 1, 1.1, 1, 0.9, 1, 1.1, 1, 1, 0.9, 1, 1, 1.1, 1, 1, 1, 1, 1.1, 0.9, 1, 1.1, 1, 1, 0.9, | |
1, 1.1, 1, 1, 1.1, 1, 0.8, 0.9, 1, 1.2, 0.9, 1, 1, 1.1, 1.2, 1, 1.5, 1, 3, 2, 5, 3, 2, 1, 1, 1, 0.9, 1, 1, 3, | |
2.6, 4, 3, 3.2, 2, 1, 1, 0.8, 4, 4, 2, 2.5, 1, 1, 1] | |
detector = peak_detection(window=3, threshold=3, influence=0.2) | |
next(detector) | |
while data: | |
elem = data.pop() | |
signal = detector.send(elem) | |
print('elem: {}, signal: {}'.format(elem, signal)) |
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from queue import Queue | |
def window_avg_std(window=3): | |
""" streaming calc avg and std """ | |
buf = Queue() | |
elem_sum1 = 0 | |
elem_sum2 = 0 # sum of squared | |
elem = yield | |
while True: | |
buf.put_nowait(elem) | |
elem_sum1 += elem | |
elem_sum2 += elem * elem | |
if buf.qsize() > window: | |
x = buf.get_nowait() | |
elem_sum1 -= x | |
elem_sum2 -= x * x | |
avg = elem_sum1 / buf.qsize() | |
std = (elem_sum2 - elem_sum1) / buf.qsize() | |
elem = yield avg, std | |
if __name__ == '__main__': | |
f = window_avg_std() | |
next(f) | |
for i in range(1, 7): | |
v = f.send(i) | |
print('i={} v={}'.format(i, v)) |
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Need corrections for std!