Distributed model of two-level asymmetrical PCB interconnect tree

A distributed behavioral model of two-level 1:n (1-input and n-outputs) asymmetrical interconnect tree network is explored. Based on circuit approach, theoretic analysis illustrating the mechanism of the underlying model extraction is described. The asymmetrical tree model is yielded from an innovative single input multiple output/single input single output (SIMO/SISO) transform. For predicting the signal responses each outbranch of the tree, the voltage transfer function (VTF) corresponding to any electrical path from the input to the output node under interest is mathematically expressed. To verify the relevance of the behavioral method proposed, 1:3 asymmetrical two-level distributed tree network was designed in microstrip planar circuit. Then, numerical validations were performed both in the frequency- and time-domains. It was pointed out that good accordance between the VTF frequency responses of tested tree signal paths from DC to 4GHz was confirmed. The behavioral two-level model developed is benefited not only in term of simplicity and computation speed but also to its flexibility to complex shape of asymmetrical interconnect trees. The model could be useful for the high-speed electronic circuit manufacturers for predicting the signal integrity through interconnect PCB trees.