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31 lines
812 B
Python
31 lines
812 B
Python
"""
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Various utilities
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"""
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import numpy as np
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rng = np.random.default_rng()
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def phasemod(phase, low=np.pi):
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"""
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Modulo phase such that it falls within the
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interval $[-low, 2\pi - low)$.
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"""
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return (phase + low) % (2*np.pi) - low
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def sine_fitfunc(t, amp=1, freq=1, phase=0, off=0):
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"""Simple sine wave for fitting purposes"""
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return amp*np.cos( 2*np.pi*freq*t + phase) + off
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def sampled_time(sample_rate=1, start=0, end=1, offset=0):
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return offset + np.arange(start, end, 1/sample_rate)
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def noisy_sine_sampling(time, init_params, noise_sigma=1, rng=rng):
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if init_params[2] is None:
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init_params[2] = phasemod(2*np.pi*rng.random())
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samples = sine_fitfunc(time, *init_params)
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noise = rng.normal(0, noise_sigma, size=len(samples))
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return samples, noise
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