File:Sawtooth harmonics.png

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Original file (812 × 612 pixels, file size: 38 KB, MIME type: image/png)

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Summary

Description
English: A periodic sawtooth wave in both time-domain and (truncated) frequency-domain representation
Date
Source Own work
Author Ldo

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:
Creative Commons CC-Zero 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.

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19 July 2014

39,249 byte

612 pixel

812 pixel

image/png

3fd82f530a4b34220706fd10b72c88d52f8720f8

File history

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Date/TimeThumbnailDimensionsUserComment
current11:42, 19 July 2014Thumbnail for version as of 11:42, 19 July 2014812 × 612 (38 KB)wikimediacommons>LdoUser created page with UploadWizard

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