Fast and Efficient Sensitivity Aware Multi-Objective Optimization of Analog Circuits
Abstract
:1. Introduction
2. Particle Swarm Optimization Technique
3. Proposed Multi-Objective Optimization Approach
- Case #0: It is a direct generation of the Pareto front, using MOPSO-CD. This case serves as a reference for the computing time.
- Case #1: It consists of generating the Pareto front then eliminating solutions presenting sensitivity values higher than the predefined threshold. This case serves as a reference for the number of (remaining) valid solutions forming the Pareto front.
- Case #2: This case considers sensitivity as a constraint (penalty technique is applied).
- Case #3: It involves executing the algorithm ignoring sensitivity for the half of the total number of iterations, then, each iteration choosing gb as the lowest sensitive particle found so far.
- Case #4: Here we consider a linear decrease of the sensitivity threshold, starting from 1 down to the predefined acceptable one. At each iteration, the global first found particle offering a sensitivity value lower than the ‘dynamic’ threshold, is taken as gb. Figure 3 shows the flowchart of this case #4.
4. Application to Analog Circuit Optimization
5. Discussion
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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The Proposed Approach | [15] | ||||||
---|---|---|---|---|---|---|---|
Case #0 | Case #1 | Case #2 | Case #3 | Case #4 | Case #4 | ||
VF | Nb-PF | 50 | 0 | 50 | 50 | 50 | 50 |
Compt- time | 1h07’ | 1h10’ | 10h05’ | 5h50’ | 1h21’ | 9h49’ | |
CCII | Nb- PF | 50 | 1 | 50 | 50 | 50 | 50 |
Compt- time | 1h18’ | 1h07’ | 9h24’ | 5h34’ | 1h18’ | 10h02’ |
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Garbaya, A.; Kotti, M.; Bellaaj Kchaou, O.; Fakhfakh, M.; Guillen-Fernandez, O.; Tlelo-Cuautle, E. Fast and Efficient Sensitivity Aware Multi-Objective Optimization of Analog Circuits. Technologies 2019, 7, 40. https://doi.org/10.3390/technologies7020040
Garbaya A, Kotti M, Bellaaj Kchaou O, Fakhfakh M, Guillen-Fernandez O, Tlelo-Cuautle E. Fast and Efficient Sensitivity Aware Multi-Objective Optimization of Analog Circuits. Technologies. 2019; 7(2):40. https://doi.org/10.3390/technologies7020040
Chicago/Turabian StyleGarbaya, Amel, Mouna Kotti, Omaya Bellaaj Kchaou, Mourad Fakhfakh, Omar Guillen-Fernandez, and Esteban Tlelo-Cuautle. 2019. "Fast and Efficient Sensitivity Aware Multi-Objective Optimization of Analog Circuits" Technologies 7, no. 2: 40. https://doi.org/10.3390/technologies7020040
APA StyleGarbaya, A., Kotti, M., Bellaaj Kchaou, O., Fakhfakh, M., Guillen-Fernandez, O., & Tlelo-Cuautle, E. (2019). Fast and Efficient Sensitivity Aware Multi-Objective Optimization of Analog Circuits. Technologies, 7(2), 40. https://doi.org/10.3390/technologies7020040