A simple python function to generate digital clock.

genclk.py

#!python
# coding: utf-8

import numpy as np

def generate_clock(freq, time=10.0, phase=0.0, amplitude=1.0, duty=.5, resolution=10):
    """Generate clock.
    
    Parameters
    ----------
    freq : float
        The frequency of clock to be generated. Unit: Hz.
    time : float
        The total time of the sequence of clock signals. Unit: second. default: 10.0.
    phase : float
        The degree of phase for the generated clock. Unit: degree. Range: +/-180. default: 0.
    amplitude: float
        The amplitude of generated clock. default: 1.0. 
    duty: float
        The duty of generated clock. Range: 0.0 ~ 1.0. default: 0.5.
    resolution: int
        The resolution of generated clock. The final resolutio is time * resolution * freq. default: 10.

    Returns
    -------
    clk, t: numpy.array, numpy.array
        The array of generated clock and time series.
    """
    assert resolution > 1.0, "resolution must be larger than 1.0."
    assert time > 0.0, "time must be larger than 0.0."
    ticks = int(time * resolution * freq)
    t = np.linspace(0.0, time, ticks)
    start_deg = 180.0 * duty
    clk_ref = np.sin(2 * np.pi * freq * t + np.radians(start_deg + phase))
    digitize_thrd = np.cos(np.radians(start_deg))
    clk = (clk_ref >= digitize_thrd) * amplitude
    return clk, t

clk, t = generate_clock(freq=1.0)

# Plot.
import matplotlib.pyplot as plt
plt.title('y-position vs. time for falling cupcake paper')
plt.xlabel('t (s)')
plt.ylabel('y (m)')
plt.plot(t , clk,'m.-')
plt.show()