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Mixed-Signal (SOP) Design   215


                    implemented using high-Q embedded inductors and capacitors. The transistor is
                    biased in the common emitter configuration. The input and output of the transistor
                    are matched to 50 Ω by using LC pi networks, which are embedded in the package.
                    The output pi is designed for maximum power transfer and thus performs impedance
                    transformation from the complex conjugate of the collector impedance to 50  Ω.
                    The input pi is designed for a minimum noise figure and presents the Z  to the gate
                                                                                  opt
                    of the transistor.
                       To study the effect of ground return current, pi’s with different reference ground
                    layouts have been modeled and implemented, and their effect on the LNA performances
                    has been analyzed. Figure 4.60a shows two of the topologies used to implement the
                    output pi, and Figure 4.60b shows the electromagnetic simulations for both the pi
                    layouts. As can be observed (in Figure 4.60b), for the frequency band of interest, there is
                    minimal difference in the S parameters for the two topologies. However, Figure 4.61
                    shows the measured response of the amplifier circuits for the two pi topologies. The



                          Port 1                              Port 1
                           (In)                               (In)
                                              Port 2                               Port 2
                                               (Out)                               (Out)









                               Topology 1             (a)         Topology 2

                             Cartesian plot
                             ZO = 50.0
                             Left axis          0
                             for_sung_1
                               DB[S11]
                               DB[S12]         −5
                               DB[S21]
                               DB[S22]
                             for_sung_jump
                               DB[S11]        −10
                               DB[S12]
                               DB[S21]
                               DB[S22]       Magnitude (dB)  −15
                                              −20
                             Right axis
                             [empty]
                                              −25

                                              −30
                                                 1  1.2  1.4  1.6  1.8  2  2.2  2.4  2.6  2.8  3
                                                              Frequency (GHz)

                                                      (b)
                    FIGURE 4.60  (a) Two reference ground layouts for the output pi. (b) Electromagnetic simulations.
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