無線通訊所需傳送的資料量越來越多,所以如何在越短時間內傳送相同資料量是重要的研究主題。兩終端節點藉由中繼節點傳送訊號至彼此的雙向中繼網路為近年來熱門的研究,而利用實體層網路編碼的兩階段雙向中繼網路更是一種高頻譜效益的技術。數個使用相差相位調變的兩階段雙向中繼網路架構被提出,這些架構可以避免由前導符元 導致的速率損失。 在本篇論文中,我們首先探討在解碼轉傳相差調變架構下,使用不同之星座圖架構所造成的影響。我們提出將複雜度較低的三符元檢測延伸至多符元檢測,在決策回饋下與最大可能性檢測有接近的效能。我們在非同調相差檢測下,使用不同種類的網路編碼,並探討及比較其效能。為了增加資料率,我們提出使用內外圈點數不同的 16-APSK 星座圖,並分別在加成性白色高斯雜訊通道與雷利衰退通道下分析其距離,最後用電腦模擬加以驗證。;Wireless communications are required to transmit quantity of data more and more. An important studying topic is how to transmit the same quantity of data in a shorter period. Two-way relaying is a popular subject, where two terminal nodes transmit to each other with the help of the relay node. Two-phase two-way relaying (TPTWR) using physical-layer coding is a bandwidth efficient technique. Several TPTWR schemes using differential phase-shift keying(DPSK) which avoid the rate loss due to pilot symbols were proposed. In this thesis, we first discuss the effect of adopting different constellations for decodeand-forward(DF) schemes. We propose to extend three-symbol detection to multi-symbol detection, the performance of which is close to maximum-likelihood (ML) detection. We discuss and compare the performance of using different types of network codes for noncoherent differential detection. In order to enhance data rate, we propose to use 16 amplitude phase shift keying (16-APSK) constellation, the signal point of which is not equal between inner circle and outer circle. We analyze the distance for additive white Gaussian noise(AWGN) channel and Rayleigh fading channel. The error performance is simulated by computer programs.