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Design Methodologies of LTCC Bandpass Filters, Diplexer, and ...

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TANG AND YOU: DESIGN METHODOLOGIES OF <strong>LTCC</strong> BANDPASS FILTERS, DIPLEXER, AND TRIPLEXER WITH TRANSMISSION ZEROS 721<br />

Fig. 11. <strong>Diplexer</strong> designed with multilayered structure. (a) Photograph.<br />

(b) Measured responses.<br />

Fig. 10. <strong>Diplexer</strong> designed with multilayered structure. (a) Equivalent circuit.<br />

(b) EM simulated responses.<br />

pacitors may cause their model differing from the ideal values<br />

provided by the circuit simulator. Figs. 8(b) <strong>and</strong> 9(b) show the<br />

measured <strong>and</strong> EM simulated responses, which involve the parasitic<br />

effect <strong>and</strong> substrate loss. These effects may cause the measured<br />

<strong>and</strong> EM simulated results such as Figs. 8(b) <strong>and</strong> 9(b) to<br />

not exactly be the same as the ones in Figs. 6(b) <strong>and</strong> 7(b).<br />

In this paper, we design our examples with the substrate <strong>of</strong><br />

Dupont 951. Even though the thick-film process may provide<br />

the linewidth variation within 5% in the plane surface, it can<br />

still provide good repeatability. 1 Compared with their EM simulation,<br />

the measured frequencies <strong>of</strong> transmission zeros in the<br />

fabricated circuits merely shifted 3.2% <strong>and</strong> 2% downward, as<br />

shown in Fig. 8(b) <strong>and</strong> 9(b), respectively. Moreover, with a fixed<br />

sintering pr<strong>of</strong>ile, stable dielectric constant <strong>and</strong> layer thickness<br />

1 DuPont Green Tape Material Systems. [Online]. Available: http://www.<br />

mcm.dupont.com/MCM/en_US/Products/greentape/green_tape.html<br />

can be obtained in the <strong>LTCC</strong> process <strong>and</strong> the resultant fabricated<br />

circuits are not sensitive to the temperature variation within the<br />

range <strong>of</strong> 40 C– C.<br />

IV. SYNTHESIS OF DIPLEXER AND TRIPLEXER<br />

The proposed second-order b<strong>and</strong>pass filter can be employed<br />

to develop the diplexer <strong>and</strong> triplexer.<br />

A. <strong>Diplexer</strong><br />

The diplexer developed from 2- <strong>and</strong> 2.4-GHz b<strong>and</strong>pass filters<br />

is taken as the design example. Two filters are connected<br />

with the matching line to form a diplexer as shown in Fig. 10(a).<br />

There are two transmission zeros, which can increase the isolation<br />

between two frequency b<strong>and</strong>s, generated by 2- <strong>and</strong> 2.4-GHz<br />

b<strong>and</strong>pass filters. Their frequencies are 2.58 <strong>and</strong> 1.86 GHz, respectively.<br />

Two passb<strong>and</strong>s <strong>of</strong> 2- <strong>and</strong> 2.4-GHz b<strong>and</strong>pass filters<br />

are within 1.8–2 <strong>and</strong> 2.4–2.5 GHz, respectively. The EM simulated<br />

results <strong>of</strong> the diplexer are expressed in Fig. 10(b).<br />

The diplexer is fabricated with the substrate <strong>of</strong> Dupont 951.<br />

Its dielectric constant <strong>and</strong> loss tangent are 7.8 <strong>and</strong> 0.0045, respectively.<br />

The <strong>LTCC</strong> diplexer is designed based on four upper

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