Stability & Miller Compensation (2): Poles & Zero Solved!

Stability & Miller Compensation (2): Poles & Zero Solved!

🎙 Vincent Chang 👥 2K 📅 December 5, 2021 ⏱ 19 min 👁 510 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

Miller compensationpoleszerostransfer functionfrequency compensation

Summary

This video is the second part of a lecture series on stability and Miller compensation. The instructor, Vincent Chang, begins by reviewing the circuit of a multi-stage amplifier with a compensation capacitor (Cc) connected across the gain stage. He explains that the original two poles are shifted due to feedback, and the goal is to find the new pole locations and the zero. He sets up node equations using Kirchhoff’s current law and derives the exact transfer function, which reveals one zero and two poles. The zero frequency is identified as gm/Cc. For the poles, he introduces a self-consistent approximation: assuming a dominant pole exists, he approximates the first pole frequency by neglecting higher-order terms, then uses that result to find the second pole. He emphasizes the importance of engineering approximations over exact math. He also draws an analogy to the common-source MOSFET amplifier to illustrate the same technique. The lecture concludes by announcing a follow-up video with a design example.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a clear step-by-step derivation of the transfer function for a Miller-compensated amplifier, which is valuable for students and engineers in analog IC design. The argumentation is logical and builds on previous knowledge, using circuit analysis and mathematical manipulation. The instructor encourages active thinking by posing questions and pausing for reflection. He also highlights the practical importance of approximations in engineering, which is a key insight for real-world problem solving. However, the derivation is somewhat rushed, and some steps are glossed over, which might leave beginners behind. The use of a self-consistent approximation is well-motivated and demonstrated, but the justification for neglecting certain terms could be more rigorous.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is moderate: the technical content is accurate and follows standard circuit analysis methods, but the presentation lacks formal citations to textbooks or papers. The instructor relies on his expertise and the audience’s prior knowledge. The title accurately reflects the content, as the video indeed focuses on solving for poles and zero. The description provides background on the instructor’s credentials, which adds credibility. No external sources are cited within the video or in the description, so the sources_citees field is empty. The video is a tutorial, so it does not present original research but rather explains established concepts.

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Title / Content Match

The title accurately reflects the content: the video focuses on solving for the poles and zero in Miller compensation.

Quality & Reliability

7/10

The content is a tutorial by an experienced educator (30 years in semiconductor education) and is technically accurate in its derivation of poles and zero for Miller compensation. However, it lacks formal citations or references to external sources, and the presentation is somewhat informal with approximations that are not rigorously justified.

Key Moments

Contribution & Novelties

The video’s original contribution lies in its pedagogical approach to solving for poles and zero in Miller compensation, emphasizing a self-consistent approximation technique that is often used in engineering practice but rarely taught explicitly. It bridges the gap between exact mathematical derivation and practical engineering shortcuts. The instructor also connects the concept to a common-source amplifier, reinforcing the universality of the method.

Pour aller plus loin :

  • Miller effect — Provides background on the Miller effect, which is fundamental to understanding Miller compensation.
  • Frequency compensation — Overview of frequency compensation techniques in amplifiers.
  • Pole splitting — Discusses the phenomenon of pole splitting, which is central to Miller compensation.

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Radar Profile

The radar profile shows high scores in quality of information and technical level, indicating a technically sound tutorial. The quantity of information is moderate, and reliability is slightly lower due to lack of citations. Overall, the video is a solid educational resource for advanced students.

Reliability 7/10