具多中繼器之無線多輸入多輸出蝴蝶式網路下多種解碼後傳送協定之分集與多工增益權衡分析

Abstract

在之前李[17]的研究論文中分析了單根天線與單一中繼器下的蝴蝶式網路。從分集與多工增益權衡分析中顯示出使用網路編碼對於單一輸入單一輸出的網路並無效用。在這篇論文中，我們考慮通用的網路設定其具多中繼器以及每個傳送、中繼、接收端都具有多根天線。我們的目標是去分析對於無線多輸入多輸出蝴蝶式網路下使用多種解碼用傳送協定之中斷機率效能。在解碼後傳送且並不使用網路編碼協定之中，我們考慮兩種不同時間分割的時槽，一個是使用每個時間分割均相同的時槽，另一個則是使用可以去幫助分集與多工增益權衡效能增加的時間分割時槽。此外我們也考慮兩種不同的架構來合併兩個獨立還原(完美解碼)訊息以二進位或複數空間合併來做網路編碼。在最後我們比較了多種不同的協定之分集與多工增益權衡效能，其中最讓我們驚訝的事情是我們發現在中繼器中其實不需要對於收到的訊息去做重新編碼，只要選擇較佳的分割時槽就可以達到很好的分集與多工增益權衡效能。

In previous work Lee [17] analyzed the single-antenna butterfly network with one relay. From the DMT performance analysis it shows that the network code might not be useful in the SISO network. In this thesis, we consider a general setting of the network with numerous relays and every node having multiple antennas. Our goal is to analyze the outage performance for the MIMO wireless buttery network with Decode-and-Forward-based protocols. In the Decode-and-Forward-wo-Network-Coding (DF-wo-NC) protocols, we consider two different time-divisions, one with equal time division at the phases and the other with a specific division that will help to improve the DMT performance. Besides, we consider two different of network coding schemes that linearly combines the decoded information over the binary field or over the complex number field. We compare the DMT performance of various protocols, and the most surprising thing is that we find that the relay does not need to re-encode messages and the same good DMT performance can be achieved through a good choice of time-division.