File:Bode Plot (Frequency Response) of an Ideal Differentiator.svg

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Bode Plot (Frequency Response) of an Ideal Differentiator

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Description
English: Bode Plot (Frequency Response) of an Ideal Differentiator
Date
Source Own work
Author Kjerish

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Source[edit]

Python source : 

import numpy as np
import matplotlib.pyplot as plt

# Generating angular frequency values
omega = np.logspace(-1, 2, 400)  # from 0.1 to 100 for this example

# Since it's a differentiator, the magnitude increases by 20dB per decade
# and the phase is constant at 90 degrees for an ideal differentiator.
# For this example, we'll just plot the magnitude.
magnitude = 20 * np.log10(omega)

plt.figure(figsize=(10,6))
plt.semilogx(omega, magnitude, 'k')
plt.title("Bode Plot of Practical Differentiator (Frequency Response)")
plt.xlabel("ω (angular frequency)")
plt.ylabel("|Vo/Vi| dB")
plt.grid(which='both', axis='both')
plt.ylim(-10, max(magnitude)+10)  # Adjusting y limits for better visibility
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(1, color='black',linewidth=0.5)
plt.annotate('20dB/decade', xy=(10, 20), xytext=(15, 15),
             arrowprops=dict(facecolor='black', arrowstyle='->'),
             horizontalalignment='left', verticalalignment='bottom')
plt.tight_layout()
plt.savefig("Bode Plot (Frequency Response) of an Ideal Differentiator.pdf")

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current16:40, 13 October 2023Thumbnail for version as of 16:40, 13 October 2023900 × 540 (87 KB)Kjerish (talk | contribs)Uploaded own work with UploadWizard

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