隨機存取是指隨機存取數據的能力。UE 使用 LTE 隨機存取程序來發起數據傳輸,也從初始連線得到上行鏈路定時資訊。在物理隨機存取通道 ( Physical Random Access Channel ) 中,檢測性能是一個非常重要的議題,然而用相關峰值檢測 ( Correlation Peak Detection ) 演算法的前導碼檢測性能對通道模型是敏感的。當瑞利衰落通道被採用時,相關峰值檢測的接收器性能下降。在這篇論文中,根據廣義概似比檢驗 ( Generalized Likelihood Ratio Test ) 原則和尼曼皮爾生 ( Neyman Pearson ) 標準,提出了相關範數檢測 ( Correlation Norm Detection ) 演算法。結果也顯示提出的演算法在前導碼檢測中提供了較好的性能。;Random access refers to the ability to access data at random. LTE random access procedure is used by the UEs to initiate a data transfer. The UEs also obtain uplink timing information from the initial handshake. In the Physical Random Access Channel ( PRACH ), detection performance is a very important issue, but the preamble detection performance of the correlation peak detection ( CPD ) algorithm is sensitive to the channel model. When Rayleigh fading channel is adopted, the receiver performance of the correlation peak detection ( CPD ) degrades. In this thesis, the correlation norm detection ( CND ) algorithm is proposed based on the Generalized Likelihood Ratio Test ( GLRT ) principle and the Neyman Pearson ( NP ) criterion. The results also show that the proposed algorithm provides a better performance in preamble detection.