在此篇論文中主要介紹兩大部分，第一部份將介紹低損耗的介電材料，且嘗試添加燒結促進劑，降低其燒結溫度；第二部份將介紹其在被動元件之應用，並實作於不同基板上探討元件尺寸的改善。
第一部份首先要介紹(Zn1–xMgx)3Nb2O8陶瓷系統之微波介電特性。由本實驗中可得知(Zn1–xMgx)3Nb2O8擁有最佳的微波介電特性，其介電係數為21.52，Q×f為130,000 GHz (at 9.07 GHz)，且共振頻率之溫度飄移係數為–84 ppm/°C，但其燒結溫度達1180 °C，為了能應用於LTCC (低溫共燒陶瓷)，故分別添加不同燒結促進劑CuO和B2O3以降低其燒結溫度，並探討添加後對其介電特性與材料之微結構是否產生影響。
第二部份根據諧振器的耦合技術和結合方法，利用基本的端點耦合微帶線結構結合一具有半波長SIR結構的交錯耦合諧振器(操作在2.45 GHz)及半波長U型髮夾式諧振器(操作在5.2 GHz)，設計一雙頻(2.45/5.2 GHz)帶通濾波器。由於止帶中產生三個傳輸零點，可有效改善濾波器的頻率響應，此雙頻帶通濾波器中心頻率操作在2.45 GHz及5.2 GHz適合應用於WLAN通訊系統中。最後，我們將此電路實作在FR4、Al2O3和(Zn0.95Mg0.05)3Nb2O8+3 wt% B2O3基板上，並量測其頻率響應。由量測的結果可得知，利用高介電係數及低損耗的材料做為電路基板時，確實能達到提升效能和縮小面積的需求。

There are two main subjects in this thesis. First, we will discuss the low loss dielectric material, and try to add different sintering aids in order to decrease the sintering temperature. Second, there will be a discussion of passive components and improvement of circuit size in different substrates.
First, the microwave dielectric properties of (Zn1–xMgx)3Nb2O8 ceramic system have been investigated. The experiment results show that (Zn0.95Mg0.05)3Nb2O8 ceramics has the best properties. The dielectric constant of (Zn0.95Mg0.05)3Nb2O8 is 21.52, Q×f is 130,000 GHz (at 9.07 GHz), and τƒ is –84 ppm/°C. Nevertheless, the sintering temperature is 1180 °C. In order to decrease the sintering temperature for application to LTCC, we trying to add different sintering aids CuO and B2O3, respectively. And concern about whether the dielectric properties and microstructure would be affected by adding the sintering aids.
Second, according to the coupling technique and the combination method. The basic end-coupled microstrip line structure is combined with a 2.45 GHz λ/2 cross coupling resonator and a 5.2 GHz λ/2 U-shaped hairpin resonator to design a dual-band (2.45/5.2 GHz) bandpass filter with three transmission zeros generated in the stop-bands to modify the response of the filter. The dual-band bandpass filter had the central frequencies of 2.45 and 5.2 GHz and was suitable for the applications in the WLAN communication system. Finally, the pattern was printed on FR4, Al2O3 and (Zn0.95Mg0.05)3Nb2O8+3 wt% B2O3 substrates. By measured their frequency responses, using the substrates of high dielectric constant and low loss, which can improve the performance and reduce filter’s size.

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