capturing time-of-flight delay for transient analysis based on scattering parameter macromodel
The delay associated with transmission line networks consists of the exponentially charging time and a pure propagation delay. This propagation delay, so called time-of-flight delay, is particularly evident in long lines. When the time-of-flight is comparable to the input rise-time, it is difficult to capture the time-of-flight with a finite sum of exponentials. Therefore the time-of-flight must be captured explicitly from the transfer function of the circuit. In this paper, we give a precise definition of the time-of-flight together with some basic properties, and present an efficient method to capture the time-of-flight for general interconnect networks. Based on our scattering parameter macromodel, we can easily capture the time-of-flight during the network reduction while using lower order model to evaluate the charging delay. By capturing the time-of-flight delay, the accuracy of system responses can be greatly improved without significantly increasing computing time.
timing delay analysis model association network propagation input functional circuits paper precise definition efficiency method general interconnection network reduction order evaluation accuracy systems computation