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414                                                                Chapter 8



        8.3.9   Frequency Multiplexer

        In Chapter 6, we depicted how to assemble the Y-circulator and filter to get a frequency diplexer
        merging two and more signals of different frequencies into one channel or separating them from
        the common channel (see Figure 6.8.7e). The same task of multiplexing can be done using, for
        example, the quadrature hybrids as the schematic block diagram illustrates in Figure 8.3.10.
















                    Figure 8.3.10   Schematic block diagram of frequency multiplexer

        According to this chart, the diplexer consists of six hybrids and the same number of band-pass
        filters. Each couple of identical  filters pass  signals  concentrated around the  particular
        frequencies  ,  ,  , or   and reject, i.e. almost entirely reflects back outband frequencies.
                   1
                             4
                        3
                     2
        The idealized frequency response of filters are shown in picture-in-pictures.
        Let us first consider the signal of frequency   coming to the left hybrid and freely passing
                                              4
        through the band-pass filters tuned to this signal. Looking back at Figure 8.3.4, we will find the
        same way (simply replace amplifiers with filters) that the total power of this signal goes through
        the bottom port of the second hybrid. Meanwhile, the top port of second hybrid stays highly
        isolated. As such, we can inject through this port the additional signal of   from independent
                                                                    2
        source. Since the filters are tuned to the different frequency, they block this signal reflecting it
        backward. Looking back at Figure 8.3.8a, we see that reflected signal is combined with signal
        of   in the same common port of the second hybrid.
           4
        Evidently, the third in the sequence of diplexers accumulates the same way signals with the
        center frequencies   and   in the right-size common port. Finally, two additional hybrids and
                              3
                        1
        filters in the middle let accumulate the signals of    and    from two common ports into
                                                  2 4    1 3
        one single channel     . Note that the band-pass filters in this section of network are dual
                        1 2 3 4
        banded passing the signal of   and   only while rejecting of   and  . In fact, the described
                                 2
                                      4
                                                                 3
                                                           1
        multiplexer is a reciprocal device and thus can not only combine many signals in the common
        channel but also distribute the incoming  multifrequency  signal  among many narrowband
        channels. They found broad applications in broadcast, mobile, and satellite communication
        systems allowing, for example, transmitting and receiving through the same antenna multiple
        signals belonging to different services.
        We have to stop here hoping that our short discussion is a good starting point for would-be
        hybrid, multiplexer, and RF network designers. The application area of hybrids alone and in
        combination with a wide variety of RF components is so broad that requires individual books
        and courses. We refer the reader to the specialized literature [3, 8, 9, and 10].
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