Power Distribution Networks with On-Chip Decoupling Capacitors

Assuming d i II = 2 d and s i II = d, from (15.3), the mutual inductance between the power and ground paths of the different voltage domains for a pseudo-interdigitated power distribution grid with DSDG is
Substituting (B.1) (B.4) into (15.8), the mutual inductive coupling M intII loop between the two current loops in a pseudo-interdigitated power distribution grid with DSDG is
Simplifying (B.5) and considering that ln ? and ln k are approximately the same for different distances between the lines, M intII loop is