Timepicker

Following example showcases the results of different timepicking methods. For more informations, please refer to the functions documentation (vallenae.timepicker).

import os
import time

import matplotlib.pyplot as plt
import numpy as np

import vallenae as vae

HERE = os.path.dirname(__file__) if "__file__" in locals() else os.getcwd()
TRADB = os.path.join(HERE, "steel_plate/sample_plain.tradb")

TRAI = 4
SAMPLES = 2000

plt.ioff()  # Turn interactive mode off; plt.show() is blocking

Read waveform from tradb

tradb = vae.io.TraDatabase(TRADB)

y, t = tradb.read_wave(TRAI)
# crop first samples
t = t[:SAMPLES]
y = y[:SAMPLES]
# unit conversion
t *= 1e6  # convert to µs
y *= 1e3  # convert to mV

Prepare plotting with time-picker results

def plot(t_wave, y_wave, y_picker, index_picker, name_picker):
    _, ax1 = plt.subplots(figsize=(8, 4), tight_layout=True)
    ax1.set_xlabel("Time [µs]")
    ax1.set_ylabel("Amplitude [mV]", color="g")
    ax1.plot(t_wave, y_wave, color="g")
    ax1.tick_params(axis="y", labelcolor="g")

    ax2 = ax1.twinx()
    ax2.set_ylabel(f"{name_picker}", color="r")
    ax2.plot(t_wave, y_picker, color="r")
    ax2.tick_params(axis="y", labelcolor="r")

    plt.axvline(t_wave[index_picker], color="k", linestyle=":")
    plt.show()

Hinkley Criterion

hc_arr, hc_index = vae.timepicker.hinkley(y, alpha=5)
plot(t, y, hc_arr, hc_index, "Hinkley Criterion")

The negative trend correlates to the chosen alpha value and can influence the results strongly. Results with alpha = 50 (less negative trend):

hc_arr, hc_index = vae.timepicker.hinkley(y, alpha=50)
plot(t, y, hc_arr, hc_index, "Hinkley Criterion")

Akaike Information Criterion (AIC)

aic_arr, aic_index = vae.timepicker.aic(y)
plot(t, y, aic_arr, aic_index, "Akaike Information Criterion")

Energy Ratio

er_arr, er_index = vae.timepicker.energy_ratio(y)
plot(t, y, er_arr, er_index, "Energy Ratio")

Modified Energy Ratio

mer_arr, mer_index = vae.timepicker.modified_energy_ratio(y)
plot(t, y, mer_arr, mer_index, "Modified Energy Ratio")

Performance comparison

All timepicker implementations are using Numba for just-in-time (JIT) compilations. Usually the first function call is slow, because it will trigger the JIT compiler. To compare the performance to a native or numpy implementation, the average of multiple executions should be compared.

def timeit(callable, loops=100):
    time_start = time.perf_counter()
    for _ in range(loops):
        callable()
    return 1e6 * (time.perf_counter() - time_start) / loops  # elapsed time in µs

timer_results = {
    "Hinkley": timeit(lambda: vae.timepicker.hinkley(y, 5)),
    "AIC": timeit(lambda: vae.timepicker.aic(y)),
    "Energy Ratio": timeit(lambda: vae.timepicker.energy_ratio(y)),
    "Modified Energy Ratio": timeit(lambda: vae.timepicker.modified_energy_ratio(y)),
}

for name, time in timer_results.items():
    print(f"{name}: {time:0.3f} µs")

plt.figure(figsize=(8, 3), tight_layout=True)
plt.bar(timer_results.keys(), timer_results.values())
plt.ylabel("Time [µs]")
plt.show()

Out:

Hinkley: 10.045 µs
AIC: 133.962 µs
Energy Ratio: 11.592 µs
Modified Energy Ratio: 15.917 µs