Abstract

The sizes of the metal-oxide-semiconductor (MOS) transistors in an operational amplifier must guarantee strong direct current operating point (DCOP) conditions. This paper shows the usefulness of two population-based optimization algorithms to size transistors, namely—particle swarm optimization (PSO) and many optimizing liaisons (MOL). Both optimization algorithms link the circuit simulator SPICE to measure electrical characteristics. However, SPICE provides an output-file indicating that a transistor is in strong inversion but the DCOP can be in the limit, and it can switch to a different condition. In this manner, we highlight the application of PSO and MOL to size operational transconductance amplifiers (OTAs), which DCOP conditions are improved by the introduction of a procedure that handles constraints to ensure that the transistors are in the appropriate DCOP. The Miller and RFC-OTA are the cases of study, and their sizing is performed using UMC 180 nm CMOS technology. In both OTAs, the objective function is the maximization of the gain-bandwidth product under the main constraint of guaranteeing DCOPs to improve two figures of merit and to provide robustness to Monte Carlo simulations and PVT variations.

Highlights

  • In electronics, the design of integrated circuits (IC) using complementary metal-oxide-semiconductor (CMOS) technology is a kind of art

  • Electronics 2020, 9, 1027 those metaheuristics relay on the fact that they do not guarantee that the MOS transistors work in the desired direct current operating point (DCOP), so that a slight variation in the voltage or current levels can degrade the performance of the sized analog IC

  • In this paper we show the application of particle swarm optimization (PSO) and many optimizing liaisons (MOL) with the proper encoding of the design variables to evaluate the objective function that is associated to the gain-bandwidth product (GBW)

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Summary

Introduction

The design of integrated circuits (IC) using complementary metal-oxide-semiconductor (CMOS) technology is a kind of art. Electronics 2020, 9, 1027 those metaheuristics relay on the fact that they do not guarantee that the MOS transistors work in the desired direct current operating point (DCOP), so that a slight variation in the voltage or current levels can degrade the performance of the sized analog IC. In this manner, we introduce a procedure that handles constraints to ensure that the transistors are in the appropriate DCOP.

Problem Formulation and Handling of Constraints
PSO and MOL Algorithms
Particle Swarm Optimization Algorithm
Many Optimizing Liaisons Algorithm
Sizing OTAs by PSO and MOL to Improve DCOP Conditions
Feasible Sized Solutions Provided by PSO and MOL
Sizing the Two-Stage Miller Amplifier
Recycled Folded Cascode Operational Transconductance Amplifier
Monte Carlo and PVT Analyses
Monte Carlo Analysis
PVT Analysis
Conclusions
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