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Everything about Differentiator

Type of circuit

In electronics, a differentiator is a circuit that outputs a signal approximately proportional to the rate of change of its input signal. Because the derivative of a sinusoid is another sinusoid whose amplitude is multiplied by its frequency, a true differentiator that works across all frequencies can't be realized. Real circuits such as a 1st-order high-pass filter are able to approximate differentiation at lower frequencies by limiting the gain above its cutoff frequency. An active differentiator includes an amplifier, while a passive differentiator is made only of resistors, capacitors and inductors. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: DifferentiatorA 5-minute orientation
  2. Skim a recent paper: Neuro-adaptive fast integral terminal sliding mode control design with variable gain robust exact differentiator for under-actuated quadcopter UAVInfluential work since 2022
  3. Pick up a classic book: Differential equations and boundary value problemsThe most-reprinted book on the subject
  4. Read the landmark paper: Frequency-band complex noninteger differentiator: characterization and synthesisCited 1,531 times
  5. Go sideways: Operational amplifier applicationsA closely related topic
  6. Go sideways: Sallen–Key topologyA closely related topic

📖 Definitions

Noun Anything that differentiates, or causes differentiation (in any sense); a distinguishing feature.

🗂️ The subject at a glance

  1. Passive differentiator
  2. Active differentiator

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics