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Chapter Eight<br />

Direct-Coupled Filters<br />

Direct-coupled filters are the most common narrow-band networks in radio<br />

frequency engineering. They may be found in very low frequency through<br />

microwave applications, <strong>of</strong>ten in such different forms as to appear totally<br />

unrelated. A large amount <strong>of</strong> design information exists, the formal basis<br />

usually being attributed to Dishal (1949) and Cohn (1957). The design method<br />

presented here evolved over the last three decades and is based on the<br />

"loaded-Q" concept discussed in Section 6.1.3. It is unique to the extent that<br />

loaded Q's <strong>of</strong> internal resonators are treated as design parameters. It precisely<br />

accounts for midband impedance matching and dissipative loss. For passband<br />

widths <strong>of</strong> less than 20%, it provides an accurate estimate <strong>of</strong> stopband selectivity<br />

and an approximation <strong>of</strong> ideal passband response shapes. Unlike synthesis<br />

methods, the loaded-Q design technique enables adjustment <strong>of</strong> surplus parameters,<br />

so that bounds on practical component values may be accommodated.<br />

Practical, direct-coupled filters evolve from an ideal prototype network,<br />

shown in Figure 8.1. It is a lumped-element representation, although several<br />

>/4<br />

1/'<br />

'N<br />

Z", --~-<br />

Wo<br />

+<br />

Gill 1 L 111 Roo VN<br />

~.L.----_.L.-_--'-_--''---_-'-_--'-_--'<br />

1"'(;----------The two-port rif!twork-----------.;>;>1<br />

Figure 8.1. The direct-coupled-filter prototype network,<br />

_<br />

273

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