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Mixed-Signal (SOP) Design   171


                    filter in the stopbands at 0.5 GHz. From the plots it can be seen that in the stopbands the
                    circuit functions as a short circuit wherein the majority of current is directed through
                    the resonator inductors to ground. Hence, high-Q inductors are required to improve
                    insertion loss and minimize excessive heating, especially in high-power applications.
                    As shown in Figure 4.15, careful modeling of the structure can provide an excellent
                    model-to-hardware correlation. However, not all structures can be modeled using
                    electromagnetic simulators, especially when many more components are integrated,
                    due to enormously large simulation time. Hence, an intermediate step using circuit-
                    level simulation becomes necessary during the design phase that enables rapid changes
                    to the layout, based on performance evaluations. This can be followed by the modeling
                    of an entire layout, which may take a day to complete.
                       The filter can be scaled in frequency by scaling the resonator network. Addition of
                    transmission zeros is possible by adding a feedback capacitor between input and output
                    or by adding additional resonant networks with a marginal increase in size. Table 4.3
                    summarizes the results of the frequency scaled dual-band filter by modifying the resonant
                    networks for 1/2.4 and 2.4/5 GHz operation, each supporting different frequency
                    bandwidths. For the 2.4/5-GHz filter, a size of 5.1 mm × 5.4 mm has been achieved, with
                    an insertion loss between 1.1 and 1.5 dB.

                    4.2.4 Embedded Baluns
                    Baluns are three-port devices that provide balanced outputs from unbalanced inputs, as
                    shown in Figure 4.17. Electrically, this means that the input signal power is split into
                    two channels that are equal in magnitude but opposite in phase, by 180°. They are thus
                    required in almost all RF architectures, and their design for multiband radio architectures
                    becomes a key challenge in SOP-based integration.
                       Traditionally, baluns have been implemented using distributed components.  A
                    functional balun can be implemented by tapping the differential output across the signal
                    and ground of a transmission line. However, difficulty in controlling the return current
                    path can cause poor amplitude and phase imbalance in the practical implementation of
                    such a device. As a solution, N. Marchand has described a compensated balun, utilizing

                                        Center
                                        Frequencies   3-dB Bandwidth    Insertion    Area
                                                                                        2
                        References      (GHz)         (MHz)             Loss (dB)    (mm )
                                            1               80            0.8
                                                                                     6 × 6
                                           2.4             625            1.2
                                           2.4             965            1.5
                      Multilayer LCP                                               5.1 × 5.4
                                            5              1250           1.2
                                           2.4             525            1.3
                                                                                   5.1 × 5.4
                                            5              500            1.1
                                           1.5                             1
                      Alumina                        Not applicable                 48 × 24
                                            2                              4
                                           2.4                            2.4
                      Organic laminate               Not applicable                 15 × 8
                                            5                             1.8
                    TABLE 4.3  Dual-Band Filter Performance and Comparison between Technologies
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