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Mehedi, M, Tok, KH, Ye, Z, Zhang, JF, Ji, Z, Zhang, WD and Marsland, J (2021) On the accuracy in modelling the statistical distribution of Random Telegraph Noise Amplitude. IEEE Access. ISSN 2169-3536
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On the accuracy in modelling the statistical distribution of Random Telegraph Noise Amplitude.pdf - Accepted Version Available under License Creative Commons Attribution. Download (3MB) | Preview |
Abstract
The power consumption of digital circuits is proportional to the square of operation voltage and the demand for low power circuits reduces the operation voltage towards the threshold of MOSFETs. A weak voltage signal makes circuits vulnerable to noise and the optimization of circuit design requires modelling noise. Random Telegraph Noise (RTN) is the dominant noise for modern CMOS technologies and Monte Carlo modelling has been used to assess its impact on circuits. This requires statistical distributions of RTN amplitude and three different distributions were proposed by early works: Lognormal, Exponential, and Gumbel distributions. They give substantially different RTN predictions and agreement has not been reached on which distribution should be used, calling the modelling accuracy into questions. The objective of this work is to assess the accuracy of these three distributions and to explore other distributions for better accuracy. A novel criterion has been proposed for selecting distributions, which requires a monotonic reduction of modelling errors with increasing number of traps. The three existing distributions do not meet this criterion and thirteen other distributions are explored. It is found that the Generalized Extreme Value (GEV) distribution has the lowest error and meet the new criterion. Moreover, to reduce modelling errors, early works used bimodal Lognormal and Exponential distributions, which have more fitting parameters. Their errors, however, are still higher than those of the monomodal GEV distribution. GEV has a long distribution tail and predicts substantially worse RTN impact. The work highlights the uncertainty in predicting the RTN distribution tail by different statistical models.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 08 Information and Computing Sciences, 09 Engineering, 10 Technology |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) T Technology > TK Electrical engineering. Electronics. Nuclear engineering |
| Divisions: | Engineering |
| Publisher: | Institute of Electrical and Electronics Engineers |
| Date Deposited: | 19 Mar 2021 09:09 |
| Last Modified: | 04 Sep 2021 05:44 |
| DOI or ID number: | 10.1109/ACCESS.2021.3065869 |
| URI: | https://researchonline.ljmu.ac.uk/id/eprint/14645 |
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