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214    Cha pte r  F o u r



                                        Estimated    Actual
                      Layout Parameter  Parameters   Parameters
                      L1                m + 2.26s    m + 2.29s
                      C_resn1/C_ren2    m − 1.66s    m − 1.34s
                      CC                m − 0.35s    m − 0.71s
                      C_m1/C_m2         m + 2.27s    m + 1.92s

                    TABLE 4.10  Probabilistic Diagnosis for Filter


               4.6 Coupling
                    A mixed-signal system is subject to coupling between the digital and analog domains and
                    also within the analog domain. The modules or signals can couple from adjacent signal
                    routing lines, through the substrate, or electromagnetically between passive components.
                    This section discusses coupling and its undesirable effects on system or module
                    performance.

                    4.6.1 Analog-to-Analog Coupling
                    With higher levels of system integration, multiple passives embedded in the package
                    are necessary. An SOP-based receiver could then contain embedded passives for both
                    the LNA and VCO. As mentioned earlier, multiple embedded passives in the package
                    leads to system-level issues like feedback and resonance, many of which are not
                    apparent in an SOC implementation. To better understand these effects, circuits in the
                    2.1- and 2.4-GHz frequency bands are discussed, as described in this section.
                       Figure 4.59 shows the schematic of the LNA, using a discrete HBFP-0420 dual
                    emitter transistor in a SOT-343 package and the impedance transformation networks


                                                 Coplanar ground ring
                                                   Capacitor





                                                 Inductors




                                                        Out
                               In                                       (b)



                                             (a)

                    FIGURE 4.59  (a) LNA with impedance-matching network. (b) Layout of output pi network.
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