File:Bode Plot of Practical Differentiator.svg
Size of this PNG preview of this SVG file: 800 × 480 pixels. Other resolutions: 320 × 192 pixels | 1,024 × 614 pixels | 1,280 × 768 pixels | 2,560 × 1,536 pixels | 900 × 540 pixels.
Original file (SVG file, nominally 900 × 540 pixels, file size: 55 KB)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
English: Bode Plot of Practical Differentiator (Frequency Response) |
| Date | |
| Source | Own work |
| Author | Kjerish |
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.
Source
Python source :
import numpy as np
import matplotlib.pyplot as plt
# Generating angular frequency values
omega = np.logspace(-2, 2, 400) # for a wider frequency range in this example
# Dummy values for omega1 (ω1) and omega2 (ω2)
omega1 = 0.1
omega2 = 10
# Calculating the plateau height based on the slopes and cutoff frequencies
plateau_height = 10 * np.log10(omega2/omega1)
magnitude = np.piecewise(omega, [omega < omega1, (omega >= omega1) & (omega <= omega2), omega > omega2],
[lambda omega: plateau_height + 20 * np.log10(omega/omega1), plateau_height,
lambda omega: plateau_height + 20 * np.log10(omega2/omega)])
plt.figure(figsize=(10,6))
plt.semilogx(omega, magnitude, 'k')
plt.title("Bode Plot (Frequency Response)")
plt.xlabel("ω (angular frequency)")
plt.ylabel("|Vo/Vi| dB")
plt.grid(which='both', axis='both')
plt.ylim(-30, plateau_height+10) # Adjusting y limits for better visibility
plt.axhline(0, color='black',linewidth=0.5)
# Dashed lines for omega1 and omega2
plt.axvline(omega1, color='black', linestyle='--', linewidth=1)
plt.axvline(omega2, color='black', linestyle='--', linewidth=1)
# Dashed line for the plateau height and its label
plt.axhline(plateau_height, color='black', linestyle='--', linewidth=1)
plt.annotate('|R/R₁|', xy=(1e-2, plateau_height+2), horizontalalignment='left')
# Annotations for slopes and cutoff frequencies
plt.annotate('20dB/dec', xy=(omega1/3, 10), horizontalalignment='right')
plt.annotate('-20dB/dec', xy=(omega2*3, plateau_height-10), horizontalalignment='left')
plt.annotate('ω1', xy=(0.85*omega1, -25), horizontalalignment='center')
plt.annotate('ω2', xy=(0.85*omega2, -25), horizontalalignment='center')
plt.tight_layout()
plt.savefig("Bode Plot of Practical Differentiator.pdf")
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:16, 13 October 2023 | | 900 × 540 (55 KB) | Kjerish | Uploaded own work with UploadWizard |
File usage
The following page uses this file:
