CMOS Constant Transconductance Bias

CMOS Constant Transconductance Bias

🎙 Vincent Chang 👥 2K 📅 November 11, 2020 ⏱ 11 min 👁 2K 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

constant transconductancebias circuitCMOScurrent mirroranalog design

Summary

This lecture by Vincent Chang introduces the CMOS constant transconductance (constant GM) bias circuit, a fundamental building block in analog integrated circuits. The instructor explains the circuit’s three-layer structure, which includes a source-degenerated resistor and multiple current mirrors. He derives the reference current equation using transistor characteristics and Kirchhoff’s voltage law, showing that the transconductance of the key transistor (Q12) depends only on the geometry ratio and the resistance value, making it stable against process and temperature variations. The lecture highlights the circuit’s practical importance in stabilizing bias currents and transconductances across an entire chip, with applications in operational amplifiers and MEMS sensors. The presentation includes a step-by-step derivation and encourages viewers to explore further resources. The video is technical and targeted at students or engineers with a background in semiconductor devices and analog circuit analysis.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a solid explanation of the constant transconductance bias circuit, a key concept in analog IC design. The derivation is clear and logical, starting from transistor equations and applying KVL to solve for the reference current. The instructor emphasizes the practical benefits: the transconductance is set by geometry and resistance, which can be precisely controlled, leading to stable bias conditions across the chip. The argumentation is coherent and builds on fundamental semiconductor physics. However, the presentation could be improved by including more detailed diagrams and a clearer step-by-step derivation, as the video sometimes rushes through equations. The value lies in its direct applicability to real-world circuit design, making it a useful tutorial for advanced students and practicing engineers.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is moderate. The instructor relies on well-established principles of analog IC design, and his credentials lend credibility. However, the video does not cite specific textbooks or papers, and the only external reference mentioned is a research paper on MEMS pressure sensors, which is not formally cited. The title accurately reflects the content, and the lecture stays on topic. The lack of formal citations is a weakness, but the technical content appears sound. The presentation style is informal, with some minor errors in notation (e.g., using ‘K’ for the transconductance parameter), but these do not undermine the core concepts.

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Title / Content Match

The title accurately reflects the content, which focuses on the design and analysis of a CMOS constant transconductance bias circuit.

Quality & Reliability

7/10

The lecture is based on established analog IC design principles, with a clear derivation of the constant transconductance bias circuit. The instructor has extensive academic and industry experience. However, the video lacks formal citations and references, and the presentation is somewhat informal with minor technical inaccuracies in notation.

Key Moments

Cited Sources

  • Differential wide temperature range CMOS interface circuit for capacitive MEMS pressure sensors — Mentioned as an example of the circuit's application in research.

Concurring Sources

  • Analysis and Design of Analog Integrated Circuits — A standard textbook that covers constant transconductance bias circuits.

Contribution & Novelties

The video provides a clear and concise explanation of the constant transconductance bias circuit, a fundamental building block in analog IC design. It emphasizes the practical importance of stabilizing transconductance for reliable circuit operation. The derivation is presented in a step-by-step manner, making it accessible to students and engineers. The lecture also highlights real-world applications, such as in MEMS sensors, demonstrating the circuit’s relevance beyond textbooks.

Pour aller plus loin :

  • Widlar current source — A related current source topology that uses a resistor to set the output current.
  • Current mirror — The fundamental building block used in the circuit.
  • CMOS — The technology platform for the circuit.

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Radar Profile

The radar profile shows high scores in technical level and information quality, reflecting the video's depth and accuracy. The lower score in information quantity suggests the video could benefit from more examples or extended discussion. Overall, the video is a solid technical resource for analog IC designers.

Reliability 7/10