Closed form metrics to accurately model the response in general arbitrarily-coupled RC trees

Closed form expressions are presented for the first and second moment of the impulse response for arbitrarily-coupled RC trees with multiple drivers, and used to generate accurate second order estimations of the transfer function from any driver to the receiver. The superposition of the waveforms for all switching events allows precise delay and noise calculations for systems of coupled interconnects with different aggressor arrival times, with a minimum of computational complexity.