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Mixed-Signal (SOP) Design   199


                    digital to the RF part of the system, either directly through the PDN or through the gap
                    between the split islands. This noise can also couple onto the digital signal lines, causing
                    interference in addition to crosstalk and reflections. It is therefore necessary to simulate
                    the digital signal lines in the presence of power and ground planes. In this section, the
                    modeling of signal and power delivery networks is discussed in the context of mixed-
                    signal modules (such as a mobile wireless communication unit), microprocessors, and
                    other high-speed communication links. A detailed description regarding the design and
                    analysis of power delivery networks can be found in [55a].
                       Figure 4.47 shows the flowchart of a simulation methodology for a combined signal
                    integrity (SI) – power integrity (PI) simulation. The signal distribution network (SDN)
                    and the power delivery network (PDN) can be modeled separately and combined using
                    the modal decomposition method.
                       Based on the stackup and the proximity of the power and ground planes, the signal
                    lines can be classified into coplanar, microstrip, and stripline geometries. In all three
                    cases, the coupling between the signal lines and power-ground planes can be analyzed
                    by separating these structures into individual parts, analyzing them separately, and
                    then recombining them to obtain the overall response. This is possible through the
                    modal decomposition technique [55b]. This approach enables the computation of the
                    interaction between SDN and PDN and their effect on signal propagation and noise.
                    The modal decomposition method is described in this section for a stripline
                    interconnection between a power-ground plane, as shown in Figure 4.48. This approach
                    can be generalized for all interconnection structures.
                       A stripline interconnection at a distance h  from V  and h  from Ground can be
                                                            2
                                                                          1
                                                                   dd
                    represented using the equivalent circuit shown in Figure 4.48b. In the figure, the parallel
                    plate waveguide mode propagates between the power-ground plane while the stripline

                                                   Layout of a
                                                 package or a PCB

                                     PDN-P/G planes,         SDN-interconnect
                                     decaps, vias, etc.      buses, vias, etc.


                                   Modeling of the PDN      Modeling of the SDN
                                     using TMM, TLM,         using W-element,
                                        CRM etc.             RLGC, ADS etc.

                                    Macro modeling of
                                      the PDN using                    SPICE models of the
                                     lumped elements                    active circuitry like
                                                                       drivers, receivers, etc.

                           Time domain switching  Transient simulation
                              current models        in SPICE

                                                  Si-Pi analysis/
                                                  eye-diagrams

                    FIGURE 4.47  Flowchart for combined SI-PI simulation.
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