TRANSMISSION-LINE SYNTHESIS VIA CONSTRAINED MULTIVARIABLE OPTIMIZATION

The design of system level interconnects to meet signal integrity obje ctives is a challenging problem, This paper formulates the transmissio n line synthesis problem as a constrained multidimensional optimizatio n task for performance-driven routing of the complete net, taking into account factors like loading conditions on the line, loss in the line , and rise time of the input signal, Different design variables, such as width or resistivity of the interconnect, resistive source, or far- end termination, etc., can all be considered concurrently. A novel ter mination metric is described that is based upon forcing the impulse re sponse waveform to be symmetric using the first three moments of the d istributed system response, This metric provides an efficient means to trade off between signal rise time and ringing without requiring a ti me-domain simulation, Several examples are presented to demonstrate th e efficacy of the proposed methodology.