Summary

Generated with the following code:

import numpy as np
import matplotlib.pyplot as plt

frames_per_cycle = 256
freq = 3
nr_frames = frames_per_cycle * freq
phase = 0
audio = np.fromfunction(lambda y : (y /  frames_per_cycle + phase) % 1 - 0.5, (nr_frames,))
maxfreq = 16
freq_plotstyle = "o"
ft = np.fft.rfft(audio[:frames_per_cycle]) / (frames_per_cycle / 2)
if maxfreq != None :
    ft = ft[:maxfreq]
#end if
abs_mag = True

fig, ax = plt.subplots(nrows = 2 + int(not abs_mag))
ax[0].plot(np.linspace(0, freq, nr_frames), audio, "-")
ax[0].set_title("Time Domain")
if abs_mag :
    ax[1].plot(np.linspace(0, len(ft), len(ft)), np.abs(ft), freq_plotstyle)
    ax[1].set_title("Frequency Domain")
else :
    ax[1].plot(np.linspace(0, len(ft), len(ft)), np.real(ft), freq_plotstyle)
    ax[1].set_title("Frequency Domain (Real)")
    ax[2].plot(np.linspace(0, len(ft), len(ft)), np.imag(ft), freq_plotstyle)
    ax[2].set_title("Frequency Domain (Imag)")
#end if
plt.subplots_adjust(hspace = 0.5)
plt.show()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.

The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse