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176    Cha pte r  F o u r













                                  Antenna     Filter       Balun     LNA



                    FIGURE 4.23  Filter-balun in a receiver front end.

                    in the substrate can be used that combines the functionality of both a balun and a filter.
                    Any single-ended circuit can be made into a balanced network (with differential inputs
                    and differential outputs) using network theory [40]. Balanced bandpass filters can
                    also be designed in this fashion. However, this technique also results in an increase in
                    the number of components. It leads to doubling of the capacitance values required in
                    the series path [40], which can lead to large device sizes in embedded circuits where the
                    device size is directly proportional to the capacitance or inductance value required.
                    Lattice filters have also been used in the past to achieve balanced filter topologies
                    [41–42]. Although they provide both frequency selectivity and differential outputs, both
                    these approaches require additional matching circuits for single-ended to differential
                    conversion at the input port. Two alternate approaches are adding frequency selectivity
                    to existing balun circuits and cascading a balun with a bandpass filter.
                       The Marchand balun by its very nature has a bandpass behavior. The coupled line
                    segments prevent the transmission of signals at low frequencies, while the transmission
                    line behavior causes the signal transmission to fall off after the resonant frequency of
                    the coupled lines. Implementation of the lumped elements in the modified Marchand
                    balun using resonators allows transmission zeroes in the transfer function of the balun,
                    leading to sharper roll-offs for the frequency response. Figure 4.24 shows a modified
                    Marchand balun designed for operation in the 5- to 6-GHz frequency band. To increase



                                    Z e  = 120Ω, Z o  = 22Ω        Z e  = 120Ω, Z o  = 22Ω
                                    θ = 90°, f = 14 GHz            θ = 90°, f = 14 GHz



                                                          0.72 nH
                                        0.65 nH                         0.65 nH
                                                    0.13 pF



                                                                       0.45 pF


                    FIGURE 4.24  Integrated Marchand balun and fi lter.
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