File:Periodogram.svg
| Uploaded by | Ixfd64 |
|---|---|
| Upload date | 2023-05-02T21:57:47Z |
| MIME type | image/svg+xml |
| Dimensions | 540 × 360 px |
| File size | 42.5 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
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