This paper derives a renormalization formula defined on the parameter space where mapping behavior is preserved, together with the equivalent potential function. In contrast to the universal function given by Feigenbaum, the behavior near the critical point is governed by the potential function. The
Wideband model of on-chip CMOS interconnects using space-mapping technique
โ Scribed by Xiaochang Liu; Gaofeng Wang; Jia Liu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 476 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1096-4290
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โฆ Synopsis
A new wideband model for on-chip complementary metal-oxide-semiconductor (CMOS) interconnects is developed by virtue of a space-mapping neural network (SMNN) technique. In this approach, two subneural networks are used for improving the reliability and generalization ability of the model. This approach also presents a new methodology for data generation and training of the two neural networks. Two different structures are used for the two subneural networks to address different physical effects. Instead of the S parameters, the admittances of sub-block neural networks are used as optimization targets for training so that different physical effects can be addressed individually. This model is capable of featuring frequency-variant characteristics of radio-frequency interconnects in terms of frequency-independent circuit components with two subneural networks. In comparison with results from rigorous electromagnetic (EM) simulations, this SMNN model can achieve good accuracy with an average error less than 2% up to 40 GHz. Moreover, it has much enhanced learning and generalization capabilities and as fast as equivalent circuit while preserves the accuracy of detailed EM simulations.
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