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Optimal design of a CMOS op-amp via geometric programming | IEEE Journals & Magazine | IEEE Xplore

Optimal design of a CMOS op-amp via geometric programming


Abstract:

We describe a new method for determining component values and transistor dimensions for CMOS operational amplifiers (op-amps). We observe that a wide variety of design ob...Show More

Abstract:

We describe a new method for determining component values and transistor dimensions for CMOS operational amplifiers (op-amps). We observe that a wide variety of design objectives and constraints have a special form, i.e., they are posynomial functions of the design variables. As a result, the amplifier design problem can be expressed as a special form of optimization problem called geometric programming, for which very efficient global optimization methods have been developed. As a consequence we can efficiently determine globally optimal amplifier designs or globally optimal tradeoffs among competing performance measures such as power, open-loop gain, and bandwidth. Our method, therefore, yields completely automated sizing of (globally) optimal CMOS amplifiers, directly from specifications. In this paper, we apply this method to a specific widely used operational amplifier architecture, showing in detail how to formulate the design problem as a geometric program. We compute globally optimal tradeoff curves relating performance measures such as power dissipation, unity-gain bandwidth, and open-loop gain. We show how the method can he used to size robust designs, i.e., designs guaranteed to meet the specifications for a variety of process conditions and parameters.
Page(s): 1 - 21
Date of Publication: 31 January 2001

ISSN Information:

Author image of M.delM. Hershenson
Barcelona Design Inc., Sunnyvale, CA, USA
Maria Del Mar Hershenson was born in Barcelona, Spain. She received the B.S.E.E. degree from the Universidad Pontificia de Comillas, Madrid, Spain, in 1995, and the M.S. and Ph.D. degrees in electrical engineering from Stanford University, Stanford, CA, in 1997 and 1999, respectively.
In 1994, she was an Intern at Linear Technology Corporation, Milpitas, CA, where she worked on low-power voltage regulators. In 1999, she co...Show More
Maria Del Mar Hershenson was born in Barcelona, Spain. She received the B.S.E.E. degree from the Universidad Pontificia de Comillas, Madrid, Spain, in 1995, and the M.S. and Ph.D. degrees in electrical engineering from Stanford University, Stanford, CA, in 1997 and 1999, respectively.
In 1994, she was an Intern at Linear Technology Corporation, Milpitas, CA, where she worked on low-power voltage regulators. In 1999, she co...View more
Author image of S.P. Boyd
Electrical Engineering Department, Stanford University, Stanford, USA
Stephen P. Boyd (S'82-M'85-SM'97-F'99) received the A.B. degree in mathematics from Harvard University, Cambridge, MA, in 1980, and the Ph.D. degree in electrical engineering and computer science from the University of California at Berkeley, in 1985.
In 1985, he joined the Electrical Engineering Department, Stanford University, Stanford, CA, where he is currently a Professor and Director of the Information Systems Laborat...Show More
Stephen P. Boyd (S'82-M'85-SM'97-F'99) received the A.B. degree in mathematics from Harvard University, Cambridge, MA, in 1980, and the Ph.D. degree in electrical engineering and computer science from the University of California at Berkeley, in 1985.
In 1985, he joined the Electrical Engineering Department, Stanford University, Stanford, CA, where he is currently a Professor and Director of the Information Systems Laborat...View more
Author image of T.H. Lee
Electrical Engineering Department, Stanford University, Stanford, USA
Thomas H. Lee received the S.B., S.M., and Sc.D. degrees in electrical engineering from the Massachusetts Institute of Technology, Cambridge, in 1983, 1985, and 1990, respectively.
He joined Analog Devices in 1990 where he was primarily engaged in the design of high-speed clock recovery devices. In 1992, he joined Rambus Inc. Mountain View, CA, where he developed high-speed analog circuitry for 500 MB/s CMOS DRAMs. He has ...Show More
Thomas H. Lee received the S.B., S.M., and Sc.D. degrees in electrical engineering from the Massachusetts Institute of Technology, Cambridge, in 1983, 1985, and 1990, respectively.
He joined Analog Devices in 1990 where he was primarily engaged in the design of high-speed clock recovery devices. In 1992, he joined Rambus Inc. Mountain View, CA, where he developed high-speed analog circuitry for 500 MB/s CMOS DRAMs. He has ...View more

Author image of M.delM. Hershenson
Barcelona Design Inc., Sunnyvale, CA, USA
Maria Del Mar Hershenson was born in Barcelona, Spain. She received the B.S.E.E. degree from the Universidad Pontificia de Comillas, Madrid, Spain, in 1995, and the M.S. and Ph.D. degrees in electrical engineering from Stanford University, Stanford, CA, in 1997 and 1999, respectively.
In 1994, she was an Intern at Linear Technology Corporation, Milpitas, CA, where she worked on low-power voltage regulators. In 1999, she co-founded Barcelona Design Inc., Sunnyvale, CA, where she currently designs analog circuits based on new optimization techniques. Her research interest are RF circuits and convex optimization techniques applied to the automated design of analog integrated circuits.
Dr. Hershenson is the recipient of a 1998 IBM Fellowship.
Maria Del Mar Hershenson was born in Barcelona, Spain. She received the B.S.E.E. degree from the Universidad Pontificia de Comillas, Madrid, Spain, in 1995, and the M.S. and Ph.D. degrees in electrical engineering from Stanford University, Stanford, CA, in 1997 and 1999, respectively.
In 1994, she was an Intern at Linear Technology Corporation, Milpitas, CA, where she worked on low-power voltage regulators. In 1999, she co-founded Barcelona Design Inc., Sunnyvale, CA, where she currently designs analog circuits based on new optimization techniques. Her research interest are RF circuits and convex optimization techniques applied to the automated design of analog integrated circuits.
Dr. Hershenson is the recipient of a 1998 IBM Fellowship.View more
Author image of S.P. Boyd
Electrical Engineering Department, Stanford University, Stanford, USA
Stephen P. Boyd (S'82-M'85-SM'97-F'99) received the A.B. degree in mathematics from Harvard University, Cambridge, MA, in 1980, and the Ph.D. degree in electrical engineering and computer science from the University of California at Berkeley, in 1985.
In 1985, he joined the Electrical Engineering Department, Stanford University, Stanford, CA, where he is currently a Professor and Director of the Information Systems Laboratory. In 1999, he co-founded Barcetona Design Inc., Sunnyvale, CA. His interests include computer-aided control system design and convex programming applications in control, signal processing, and circuits.
Stephen P. Boyd (S'82-M'85-SM'97-F'99) received the A.B. degree in mathematics from Harvard University, Cambridge, MA, in 1980, and the Ph.D. degree in electrical engineering and computer science from the University of California at Berkeley, in 1985.
In 1985, he joined the Electrical Engineering Department, Stanford University, Stanford, CA, where he is currently a Professor and Director of the Information Systems Laboratory. In 1999, he co-founded Barcetona Design Inc., Sunnyvale, CA. His interests include computer-aided control system design and convex programming applications in control, signal processing, and circuits.View more
Author image of T.H. Lee
Electrical Engineering Department, Stanford University, Stanford, USA
Thomas H. Lee received the S.B., S.M., and Sc.D. degrees in electrical engineering from the Massachusetts Institute of Technology, Cambridge, in 1983, 1985, and 1990, respectively.
He joined Analog Devices in 1990 where he was primarily engaged in the design of high-speed clock recovery devices. In 1992, he joined Rambus Inc. Mountain View, CA, where he developed high-speed analog circuitry for 500 MB/s CMOS DRAMs. He has also contributed to the development of phased-locked loops (PLLS) in the StrongARM, Alpha, and K6/K7 microprocessors. Since 1994, he has been an Assistant Professor of electrical engineering at Stanford University, Stanford, CA, where his research focus has been on gigahertz-speed wireline and wireless integrated circuits built in conventional silicon technologies, particularly CMOS. He is also cofounder of Matrix Semiconductor. He holds 12 U.S. patents and has authored the textbook, The Design of CMOS Radio—Frequency Integrated Circuits (Cambridge, MA: Cambridge Univ. Press, 1998) and co-authored two additional books on RF circuit design.
Prof. Lee is a Distinguished Lecturer of the IEEE Solid-State Circuits Society and was recently named a Distinguished Microwave Lecturer. He twice received the “Best Paper” award at the International Solid-State Circuits Conference, was co-author of a “Best Student Paper” at ISSCC, and recently won a Packard Foundation Fellowship.
Thomas H. Lee received the S.B., S.M., and Sc.D. degrees in electrical engineering from the Massachusetts Institute of Technology, Cambridge, in 1983, 1985, and 1990, respectively.
He joined Analog Devices in 1990 where he was primarily engaged in the design of high-speed clock recovery devices. In 1992, he joined Rambus Inc. Mountain View, CA, where he developed high-speed analog circuitry for 500 MB/s CMOS DRAMs. He has also contributed to the development of phased-locked loops (PLLS) in the StrongARM, Alpha, and K6/K7 microprocessors. Since 1994, he has been an Assistant Professor of electrical engineering at Stanford University, Stanford, CA, where his research focus has been on gigahertz-speed wireline and wireless integrated circuits built in conventional silicon technologies, particularly CMOS. He is also cofounder of Matrix Semiconductor. He holds 12 U.S. patents and has authored the textbook, The Design of CMOS Radio—Frequency Integrated Circuits (Cambridge, MA: Cambridge Univ. Press, 1998) and co-authored two additional books on RF circuit design.
Prof. Lee is a Distinguished Lecturer of the IEEE Solid-State Circuits Society and was recently named a Distinguished Microwave Lecturer. He twice received the “Best Paper” award at the International Solid-State Circuits Conference, was co-author of a “Best Student Paper” at ISSCC, and recently won a Packard Foundation Fellowship.View more

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