在頻率選擇通道下定義在複數域的時空柵欄碼之研究

Abstract

在本論文中，我們提出了一種在頻率選擇通道下，定義在複數域的時空柵欄編碼，並且導出它的效能界限。這種新的時空柵欄碼可以直接結合編碼和通道效應，在接收端用MLSE演算法聯合解碼來增進效能，並且討論定義在複數域係數的柵欄碼的特性。為了簡化效能分析的複雜度，我們假設錯誤率是被結合柵欄上的最小距離所支配，我們用瑞利合的機率分佈和機率密度來導出此柵欄碼的效能界限，由模擬來驗證我們所提出的新的時空柵欄碼可以達到的分集階數如同我們所預期的結果。

In this thesis, we propose a novel complex-field Space Time Trellis Codes (STTC) and derive performance upper bounds for this code over frequency selective channels. The novel STTC can directly combine the coding trellis and the channel effect to enable the full diversity order be achieved by joint decoding based on MLSE (Maximum Likelihood Sequence Estimator). Then we discuss the characteristics of the complex-field STTC. In order to simplify the performance analysis of this code, we assume that error probability is dominated by the minimum distance of the first error event in the combined trellis. We use the Rayleigh sum distribution and density to derive an upper bound for this code and show this new code can achieve diversity order as we expect by simulation results.