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Filter Design



            298  Chapter Six

                        7. Ground each stub section directly to the ground plane through a via at the
                           indicated end.
                        8. Optimize for good S and S , as well as for the desired bandwidth.
                                             21      11
                        Low-pass filter (Fig. 6.45). A low-pass filter at microwave frequencies can be
                        designed by using the distributed equivalent in microstrip. Design a lumped fil-
                        ter, and convert these lumped reactive values to distributed equivalent compo-
                        nents (see Sec. 1.3.2, “Microstrip as equivalent components”). However,
                        converting from a lumped LPF into an equivalent distributed LPF can be diffi-
                        cult because of the excessively low or high line impedances required to meet a cal-
                        culated lumped filter’s equivalent reactance, while remaining with a line length
                        shorter than 30 degrees for decent filter realization. This can be overcome by
                        designing a hybrid filter: a combination of lumped and distributed parts.

                        High-pass filter. A pure distributed high-pass filter is not easy to design. This
                        is because of adjacent coupling when a simple equivalent circuit is employed,
                        plus the added complication of having to use the series lumped capacitors that
                        are needed in such a structure.


            6.2.4 Distributed filter issues
                        Element collisions occur when the distributed microstrip elements become too
                        close together in the filter’s distributed design, and can actually touch or over-
                        lap. A different layout or dielectric constant would then be indicated.
                          Many distributed filters will have odd and even bandpass returns (reen-
                        trance) that will reduce the stopband attenuation to very poor levels at vari-
                        ous frequencies. Some distributed filters that integrate lumped components,
                        such as the combline microstrip/capacitor filter, will have less of these har-
                        monic passbands within their stopbands. This same effect will also occur with
                        low-pass and stopband filter structures. Reentrance with  half-wave filter
                        types occurs at every other harmonic.



















            Figure 6.45 Lumped low-pass filter structure and distributed equivalent.



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