import numpy as np
import matplotlib.pyplot as plt
from itertools import cycle, starmap
from functools import reduce


def signal(x, amp=1.0, phi=1.0, theta=0):
    return amp * np.sin(x * phi - theta)


def sum_signal(param_set):
    return reduce(lambda a, x: a + x, starmap(signal, param_set))


x = np.linspace(-2 * np.pi, 10.0 * np.pi, 400)

xx = sum_signal(zip(
    cycle([x]), cycle([2.0]), [12.0, 11.5, 8.5], cycle([0])
))


sigma = 0.3 * max(xx)
result_sig = xx + np.random.normal(0, sigma, len(xx))

plt.plot(result_sig, label='Шум')
plt.plot(xx, label='Исходный')

plt.legend()
plt.show()