Skip to main content

Part of the book series: Analog Circuits and Signal Processing ((ACSP))

  • 3859 Accesses

Abstract

Fixing currents and transistors widths of Op. Amps is a multifaceted task owing to the growing number of choices that can be made. Sizing implies hierarchy. Some objectives ought to be satisfied whichever choices. They shape the specifications list. A typical example is the I.G.S gain-bandwidth product. Other objectives are desirable but not mandatory. They determine attributes like power consumption versus area. Specifications determine the dimensions of the g m ∕ ​I D sizing spacewhile attributes delineate optimization areas within the sizing space. The specificationsof the Miller Op. Amp considered in this chapter are twofold: a prescribed gain-bandwidth product and an assessment regarding stability. The sizing space conforms to a two-dimensional space. Every point represents a distinct Miller Op. Amp that fulfills the same specifications. Low-power consumption demarcates a region within the 2D sizing space. Area minimization relates to another region. Eventually regions intersect easing choices. Whichever combination, specifications must be met anyway.

The axes of the sizing space play the same role as the gate voltage, drain current or normalized drain current in the I.G.S. They represent variables controlling the modes of operation of transistors or ensembles of transistors. In the Miller Op. Amp, we are going to focus on the two stages and control their behavior by means of two distinct vectors. Each vector is supposed to control transistors that have a strong impact on the fulfillment of the specifications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Singularities like the doublet associated with the current mirror are omitted for they lie beyond the gain-bandwidth product. Their impact is considered later.

  2. 2.

    For P-channel transistors, voltages are defined with respect to V DD .

  3. 3.

    The positions of the poles and zeros beyond the angular transition frequency play a major role. A change of NDP can cause substantial modifications. A drop from 4 to 3 may cause ringing, while an increase from 4 to 5 enhances the power consumption by nearly 25% without improving the step function response.

  4. 4.

    Rows depend on q F1 , columns on q F2 .

  5. 5.

    By ‘active area’, we mean the sum of the areas occupied by the gate and junctions of every transistor.

References

  • Miller JM (1920) Dependence of the input impedance of a three-electrode vacuum tube upon the load in the plate circuit. Scientific Papers of the Bureau of Standards, vol 15, no. 351, pp 367–385

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paul G. A. Jespers .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Jespers, P.G.A. (2010). Sizing the Miller Op. Amp.. In: The g m /I D Methodology, A Sizing Tool for Low-voltage Analog CMOS Circuits. Analog Circuits and Signal Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-47101-3_8

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-47101-3_8

  • Published:

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-47100-6

  • Online ISBN: 978-0-387-47101-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics