ceramic substrate is about 5.91 dB; however, the out-of-band attenuation values were below 24 dB in the lower-frequency region, and below 10 dB in the higher-frequency region. The compactness of the circuit size makes the cross-coupled filters using microstrip miniaturized hairpin resonators and high-permittivity ceramic substrates an attractive design for further development and applications in modern communication systems.
ACKNOWLEDGMENT
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