File:Periodogram.svg
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Size of this PNG preview of this SVG file: 540 × 360 pixels. Other resolutions: 320 × 213 pixels | 640 × 427 pixels | 1,024 × 683 pixels | 1,280 × 853 pixels | 2,560 × 1,707 pixels.
Original file (SVG file, nominally 540 × 360 pixels, file size: 42 KB)
Summary
| Description |
English: A power spectrum of two sinusoidal basis functions, calculated by the periodogram method. The significance of basis functions is that there is no spectral leakage into the neighboring frequency bins. |
| Date | |
| Source |
Own work based on: Periodogram.png:  by Kirlf |
| Author | Ixfd64 |
| SVG development |  This W3C-invalid vector image was created with an unknown SVG tool. |
Source code
import numpy as np
from scipy import signal
import matplotlib.pyplot as plt
w_1 = 30 # frequency of the 1st component of the signal (Hz)
w_2 = 50 # frequency of the 2nd component of the signal (Hz)
a = 1.1 # magnitude of the 1st component of the signal
b = 0.6 # magnitude of the 2nd component of the signal
t = np.array([i for i in range(1, 301)]) / 1000 # time samples (s)
fs = 1 / (t[1] - t[0]) # sampling frequency (Hz)
x = a * np.cos(2 * np.pi * w_1 * t) + b * np.sin(2 * np.pi * w_2 * t) # considered signal
f, Pxx_den = signal.periodogram(x, fs=fs, scaling='spectrum')
plt.subplots(1, 1, figsize=(6, 4), dpi=250)
plt.stem(f[:50], Pxx_den[:50], '-')
plt.ylabel('Spectrum')
plt.xlabel('Frequencies (Hz)')
plt.title('Periodogram')
plt.grid(True)
plt.savefig("Periodogram.svg")
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:57, 2 May 2023 | | 540 × 360 (42 KB) | wikimediacommons>Ixfd64 | Uploaded own work with UploadWizard |
File usage
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