## Moment Models of General Transmission Lines with Application to Interconnect Analysis and Optimization (1995)

Venue: | Proc. IEEE Multi-Chip Module Conf |

Citations: | 4 - 1 self |

### BibTeX

@INPROCEEDINGS{Yu95momentmodels,

author = {Qingjian Yu and Ernest S. Kuh and T. Xue},

title = {Moment Models of General Transmission Lines with Application to Interconnect Analysis and Optimization},

booktitle = {Proc. IEEE Multi-Chip Module Conf},

year = {1995},

pages = {594--598}

}

### OpenURL

### Abstract

In this paper, we present new moment models for uniform, nonuniform and coupled transmission lines. The moment model of a line is based on the relationships between the two port currents (KCL) and the two port voltages (KVL) of the line. The parameters of the model depend on the mean values of the voltage moments and the weighted voltage moments of the line. Simple formulas are given to compute these mean values efficiently. By using such models and moment matching techniques, interconnects modeled as transmission line networks can be efficiently simulated. In addition, by using moment sensitivities, we demonstrate that wire sizing optimization can be carried out for layout design. 1 Introduction With the rapid increase of the signal frequency and decrease of the feature sizes in high speed electronic circuits, interconnects play increasingly important roles. Not only the signal delay due to interconnects is often significantly larger than the transistor delay, On leave from Nanjin...

### Citations

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(Show Context)
Citation Context ...ore delay) of a node voltage in an RC tree, which was then used in an RC mesh [10]. AWE [19] extended the moment computation method to the general RLC network based on a state variable approach. RICE =-=[20]-=- presented moment model of capacitors and inductors and provided methods to compute moments by analyzing resistive moment model circuits, especially it improved AWE by exploiting the treelike structur... |

6 |
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Citation Context ... days, interconnects were modeled as lumped or distributed RC networks. Ref. [9] gave the formula for the first moment(Elmore delay) of a node voltage in an RC tree, which was then used in an RC mesh =-=[10]-=-. AWE [19] extended the moment computation method to the general RLC network based on a state variable approach. RICE [20] presented moment model of capacitors and inductors and provided methods to co... |

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Citation Context ...erconnects were modeled as lumped or distributed RC networks. Ref. [9] gave the formula for the first moment(Elmore delay) of a node voltage in an RC tree, which was then used in an RC mesh [10]. AWE =-=[19]-=- extended the moment computation method to the general RLC network based on a state variable approach. RICE [20] presented moment model of capacitors and inductors and provided methods to compute mome... |

2 |
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(Show Context)
Citation Context ...hniques efficiently, we need good models for interconnect networks, especially for transmission line networks. In the early days, interconnects were modeled as lumped or distributed RC networks. Ref. =-=[9]-=- gave the formula for the first moment(Elmore delay) of a node voltage in an RC tree, which was then used in an RC mesh [10]. AWE [19] extended the moment computation method to the general RLC network... |

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- Bracken
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(Show Context)
Citation Context ...in RICE, transmission lines are modeled as a large number of RLGC sections, which is neither exact nor efficient in computation. Moment computation models of transmission lines have been presented in =-=[23, 24, 26]-=-. In [23], the moment models are formed either by recursively solving second order differential equations or by computing matrix exponentials (even for a single line) which is not very efficient in co... |

1 |
M.S.Nakhla, "Asymptotic waveform evaluation and moment matching for interconnect analysis," Chap. 3
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(Show Context)
Citation Context ...in RICE, transmission lines are modeled as a large number of RLGC sections, which is neither exact nor efficient in computation. Moment computation models of transmission lines have been presented in =-=[23, 24, 26]-=-. In [23], the moment models are formed either by recursively solving second order differential equations or by computing matrix exponentials (even for a single line) which is not very efficient in co... |

1 |
S.M.Kang, "Physical Design for Multichip Modules
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(Show Context)
Citation Context ...in RICE, transmission lines are modeled as a large number of RLGC sections, which is neither exact nor efficient in computation. Moment computation models of transmission lines have been presented in =-=[23, 24, 26]-=-. In [23], the moment models are formed either by recursively solving second order differential equations or by computing matrix exponentials (even for a single line) which is not very efficient in co... |

1 |
E.S.Kuh, "Exact moment matching model of transmission lines and application to interconnect delay estimation
- Yu
(Show Context)
Citation Context ...high order computation. Also, this method is good for interconnects modeled as transmission line trees, but its extension to more general interconnect topology has not been shown. In our recent paper =-=[27]-=-, we presented a lumped model for moments of a resistortransmission line-capacitor (R-T-C) network. When the transmission lines are replaced by their p-th order moment matching model, the network is t... |