Low Voltage Low Power Operational Amplifier
A low voltage, low power operational amplifier (op-amp) will be designed during this project. A 1.2 micron CMOS process will be used in the design. The op-amp will have a 1 volt peak to peak power supply and drive a 500 ohm resistive load with a power dissipation less than 20 milli-watts.
The design can be used for low voltage applications, such as battery powered electronics. The op-amp will be difficult to design due to the fact that the voltage supply is approximately the threshold voltage of a transistor. The threshold voltage of the transistor limits the voltage swing in the input of an op-amp. Therefore, a new input stage will be especially designed to overcome this constraint for the input. The design needs to be able to drive a 500 ohm resistive load. According to the equation,
![]()
in order to have a reasonable output voltage swing across the load resistance, the output stage of the op-amp needs to be able to drive approximately 1.5 milli-amp, which is difficult in a CMOS integrated circuit. This design will be useful to the contemporary electronic industry, where the portability of products is important.
Client and Advising Professor:
Edward K.F. Lee (Assistant Professor)
Iowa State University
Department of Electrical and Computer Engineering 2124 Coover Hall
Ames, Iowa 50011-3060
Voice: (515) 294-7686
FAX: (515) 294-8432
EMAIL: leekfe@iastate.edu
Team Members:
Chris Paone: Team Leader
Iowa State University
Major: Electrical Engineering
Address: 246 N. Hyland Ames, Iowa 50014
Voice: (515)296-2287
EMAIL: granor@iastate.edu
Alan Ngo
Iowa State University
Major: Electrical Engineering
Address: 212 North Franklin Ave. Ames, Iowa 50014
Voice: (515) 292-2554
EMAIL: pngo@iastate.edu
(Ray) Lui Lam
Iowa State University
Major: Electrical Engineering
Address: 111 Sheldon Ave Apt. #1 Ames, Iowa 50014
Voice: (515) 292-1637
FAX: (515) 292-1637
EMAIL: raylam@iastate.edu
Jason Gameon
Iowa State University
Major: Computer Engineering
Address: 4210 Lincoln Swing #14 Ames, Iowa 50014
Voice: (515) 296-1215
EMAIL: gmball@iastate.edu
The goal of this project is to implement, layout, document, and fabricate a low voltage low power op-amp, which can drive a 500 ohm resistor with a 1 volt power supply, using 1.2 micron CMOS technology by May 1999.
In general, an op-amp can be divided up into three stages, the differential input stage, the gain stage, and the output stage as shown in Figure 1. The differential input compares the electric potential of input nodes and the gain stage amplifies the comparison result. Finally, the output stage receives the signal from the gain stage and drives the output node. Technical approach of each stage will be discussed below.
Figure.1: Block Diagram of Op-Amp
5.1 Differential Input Stage
Signal is fed into the op-amp through this differential amplifier. A normal gate-input differential pair cannot be used because the threshold voltage drop limits the voltage swing. In order to maintain the gain of the input, the PMOS and NMOS need to be in the saturation region. The condition of the operation region is shown below.

Figure. 2: Voltage relationships between power supply.
For PMOS (not shown):
For NMOS:
Therefore, a body-input differential amplifier is going to be used.
Figure 3: Body-Input Differential Pair
5.2 Gain Stage
Since the first stage is a body differential input pair, which has a very small gain, the second gain stage is needed. The common mode input range for the gain stage does not have to be big because the input is not rail-to-rail. The main requirement of the design for the gain stage is that the gain has to be huge. A typical gain stage is a common source amplifier. This gain stage has a gain ranged from 30 to 60 volt/volt, which is not enough. Therefore, a cascode configuration will be used. This is a comparison between the gain of common-source amplifying stage and a cascode amplifying stage with an assumption of all transistors are operating in saturation region.

Figure 4: Common Source Amplifying Stage
Figure 5: Cascode Amplifying Stage
(While gm is the trans-conductance of a MOSFET operating in saturation region and rDS is the output impedance of a MOSFET operating in saturation region)
Using the cascode configuration, the gain of the second stage can be increased up to 1000 to 3000 volt/volt. However, to guarantee all the transistors are operating in the saturation region, VDS of every transistor has to be greater than its Veff, which is generally defined as VGS – VT. Therefore, the minimum output voltage of a common-source amplifying stage is Veff, when that of the cascode amplifying stage is 2 Veff. Veff can be ranged from 0.1 to 0.4 volt. As a result, the output swing of the second stage will be very limited. Moreover, since the Veff must be small to maintain a reasonable output swing, VGS must be slightly greater than VT. This makes the biasing of circuit very hard. Understanding, the problem, we selected cascode amplifying stage. This is because that the gain is more important than biasing and the output swing. Although biasing is hard, there are some tricks to guarantee all the transistors operating in saturation. Employing an output stage, the output swing problem can be solved. Finally, since the output range of the first stage is not known, the detail design of the gain stage will be left over to next semester.
5.3 Output Stage
The output stage is used to solve output swing and small output current problem. Since the bias current of the gain stage is small, it is not sufficient to drive the low impedance load. The following calculation shows the amount of current the output stage must be able to drive in order to have rail-to-rail output voltage swing.
RLoad = 500 ohms
Vout max = 0.5 volt
Therefore, the output stage must be able to drive at least 0.5/500 = 1 milli-ampere.
In order to drive this big current, the transistors size must be huge, because a large effective voltage limits the output voltage swing. From the I-V characteristic equation of saturated MOSFET,
![]()
Since the effective voltage is less than 1 volt, we have to increase the width-length ratio a lot, in order to get a small effective voltage drop.
Another issue about the output stage is that the DC current must be small for minimum power dissipation. Therefore a class AB output stage will be used. The characteristic of a class AB output stage can be shown from the following graph.
Figure 6: Class AB output stage characteristic
As shown in the graph, class AB keeps the current flow between power supplies low. The only time the DC current from VDD to VSS is large is during the low-to-high or high-to-low transactions. In this way, the power dissipation is minimized. If the output swing is not large enough, feed-backward or feed-forward bias control may be included.
5.4 Simulation
The body input stage show in figure 7 was simulated using Cadence’s Analog Artist. The first simulations completed used a level 3-transistor model. These simulations were used to determine all of the node voltages. Hand calculations were used to determine the most likely range of currents that would result in node voltages under one volt. Simulations were run using the values in table 1 seen below.
|
Current 1(uA) |
Current 2(uA) |
|
50 |
250 |
|
50 |
100 |
|
40 |
200 |
|
40 |
80 |
|
30 |
150 |
|
30 |
60 |
|
20 |
100 |
|
20 |
40 |
|
10 |
60 |
|
10 |
20 |
Table 1: Simmulation Values
Unfortunately, all of the simulations had at least one node voltage that was above one volt. The differential pair was then redesigned. The transistor "T2" shown in figure 7 was eliminated because the node above it was always outside of the voltage requirements.

Figure 7: Body Input Differential Pair
The schematic was then redesigned resulting in figure 3 (page 3). The body effect used by the differential pair is not modeled very accurately in a level 3 model. To increase the accuracy of the simulations the transistor model was changed to Mosis’ N86N level 49 model found at http://www.mosis.com/. After the model was changed several simulations were run on the new schematic. With the new model it was discovered that the parasitic diode created from the source of the PMOS transistor to the substrate was not sufficiently biased. This resulted in a tremendous current loss into the substrate at common mode range below 0.2 volts. Several different biasing currents and voltages were used to attempt to remedy this problem. However, the voltage that needed to be lowered was also proportional to the output current. It would be impossible to drive a 500 ohm resistive load with the current required to keep the diode off at all times. The design team is now looking into a way to use both the classic differential pair design and the new body input design. The schematic shown in figure 8 shows a conceptual design. A classic differential pair will be used for all voltages below a common mode range of 0.2 volts, after this common mode voltage is exceeded the body input differential pair will be used. The design team has had several difficulties with this design, but are currently pursuing solutions.

Figure 8: New Differential Pair
The following table is the proposed budget for the two semesters:
Table 2: Proposed Project Budget.
| Project Phase |
Human effort (person-hour) |
Actual Time |
Cost ($) |
Actual Cost |
|
Library Research |
40 |
$ 20.00 |
$10.00 | |
|
Material Review |
80 |
|||
|
Design Circuits Differential Pair Gain Stage Output Stage Simulation Prof. Lee Evaluation Simulation of Technical Support |
Total: 280 40 40 50 60 40 50 |
36 14 0 37 32 25 |
|
|
|
Layout Floor Planning Area Concerns Timing Concerns Analog Concerns Protective Circuits |
Total: 180 20 20 50 50 40 |
0 7 10 20 0 |
||
|
Fabrication Conversion of File File Sending |
20 10 |
0 0 |
$ 500.00 |
$830.00 |
|
Circuits Verification |
40 |
|
||
|
Poster |
30 |
50 |
$ 100.00 |
$122.00 |
|
Writing Design Review |
40 |
60 |
||
|
Prepare for presentation |
30 |
5 |
||
|
|
|
|||
|
Human effort available for four team members |
760 |
|||
|
Total Time (person-hour) needed |
760 |
336 |
||
|
Additional time |
0 |
40 |
||
|
Funds available to each team |
|
$ 50.00 |
$50.00 | |
|
Fabrication Sponsor (Dr. Lee) |
|
$500.00 8308830 |
$830.00 | |
|
Poster Sponsor (team members) |
$ 92.00 |
$92.00 | ||
|
Total Funds available |
|
$ 620.00 |
$972.00 |
|
|
Total Cost |
|
$ 620.00 |
$972.00 |
|
|
Funds left |
|
$0 |
$0 |
7.1 Gantt Chart
Figure 9: Gantt Chart
7.2 Milestones
Group Leader: Chris Paone
Web Master: Jason Gameon
Researcher: Alan Ngo
Web and Design Support: Ray Lam
Completed 9/3/98
2) Body input differential pair design
3) Output design with load calculations
4) Power consumption estimates
5) Preliminary layout
7) Design calculations
8) Web page layout
Complete 10/4/98
9) Logo Design completed
Complete 9/20/98
10) Account received
Complete 9/22/98
Complete 9/21/98
On Web Site Due: 10/6/98
Complete 10/05/98
15) Project Poster Due: 11/17/98
Complete 11/15/98
16) Design Review Hard Copy Due: 12/8/98
Complete 12/07/98
On Web Site Due: 12/17/98
17) Oral Presentation Between: 12/8/98 – 12/17/98
All Milestones in Predicted portion of the Gantt chart are soft deadlines and all in the actual portion are hard deadlines.