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研究生: 柯家程
Ke, Chia-Cheng
論文名稱: 使用球狀解碼在區塊空間調變的複雜度表現
Complexity Performance of New Block Spatial Modulation using Sphere Decoding
指導教授: 張名先
Chang, Ming-Xian
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電腦與通信工程研究所
Institute of Computer & Communication Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 45
中文關鍵詞: 區塊空間調變廣義空間調變球狀解碼
外文關鍵詞: Block-based Spatial Modulation, Generalized Spatial Modulation, Sphere Decoding
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  • 區塊空間調變(Block-based Spatial Modulation),是一種在多輸入多輸出(Multi-Input Multi-Output)系統下的調變方式,此作法在每個時間點的傳送天線數量可以不同,可是在區塊裡,啟動天線數量總數要固定,本篇論文基於之前方法提出的模型做簡化,將區塊的大小定為2,也就是兩個時間點的啟動天線數總和要固定,調變的方式,將資訊流分成兩個部分,一部分決定啟動區塊的傳送向量,另一部分決定天線要傳送的信號,並將信號裝在區塊裡的啟動天線上,完成調變流程。
    在這篇論文我們使用的解調方式為球狀解碼(Sphere Decoding),接收端假設通道資訊(CSI)已知,有別於最大可能性偵測(Maximum Likelihood Detection)的高複雜度,做全搜尋的動作,球狀解碼的方式透過持續的降低搜尋半徑,大大的減少所要搜尋的範圍,同時錯誤率可以和ML解一樣好,本篇論文呈現球狀解碼使用在區塊空間調變的複雜度,以及球狀解碼使用在廣義空間調變(Generalized Spatial Modulation)的複雜度,將兩者各自的ML /SD複雜度比率做比較,可以發現將球狀解碼使用在區塊空間調變的複雜度降低比例大於廣義空間調變,所以比起將球狀解碼使用在廣義空間調變,將球狀解碼使用在區塊空間調變的效果更好。最後我們介紹一種名叫估計軟值(Estimated Soft)的方法,該方法可以產生一個半徑我們將他使用在球狀解碼的起始半徑上。與起始半徑無限制做出比較,我們可以發現其複雜度低於起始半徑無限制的球狀解碼。

    Block-based spatial modulation (BSM) is a modulation method under the architecture of multi-input multi-output (MIMO) system. In this method, the number of transmit antennas at each time slot can be different, but the total number of active antennas in the block should be fixed. This thesis simplifies the model based on previous method and sets the size of the block to be two; that is, the total number of active antennas at two time slots must be fixed. In the method of transformation, the information flow is divided into two parts, one part determines the transmission vector of the active block, and the other part determines the signal to be transmitted by the antenna, and the signal is loaded into the active antenna in the block to complete the modulation process. In this thesis, we apply the sphere decoding (SD) as the demodulation method. The receiver assumes that the channel state information (CSI) is known. Compared with the exhaustive search to attain the maximum likelihood detection (ML) detection, the SD method reduces the search area by continuously reducing the search radius, and the error rate can be as good as the ML detection. We present the complexity of SD method used in block-based spatial modulation and the complexity of SD method used in the generalized spatial modulation (GSM). We also compare the ML/SD complexity ratios for these two methods. It can be found that the complexity reduction ratio of SD method in block-based spatial modulation is greater than generalized spatial modulation, so it is better to use the SD method for the block-based spatial modulation than for the generalized spatial modulation. Finally, we introduce a method called Estimated Soft, which can generate a radius and we use it as the starting radius of sphere decoding. Compared with an unlimited starting radius, we find that its complexity is lower than the SD algorithm with an unlimited initial starting radius.

    摘要 I abstract II 誌謝 VIII 目錄 IX 第一章 1 1.1多輸入多輸出系統介紹 1 1.2空間調變介紹 2 1.3廣義空間調變介紹 3 第二章 7 2.1系統模型 7 2.2 最大可能性偵測法(Maximum-likelihood Detection) 8 2.3 強制歸零法(Zero-forcing Detection) 8 2.4 最小均方誤差 (Minimum mean square error) 9 第三章 10 3.1區塊空間調變系統模型 10 3.2 啟動區塊設計 10 3.3 啟動區塊元素分布(D) 11 3.4啟動區塊元素平移(S) 12 3.5 NBSM系統介紹 12 3.5.1 資訊位元分配 13 3.5.2 啟動區塊元素分佈(distribution) 13 3.5.3 啟動區塊元素平移(shift) 14 3.5.4 星座圖符號映射(constellation mapping) 14 3.5.5 啟動區塊流程 14 3.5.6 模擬結果 18 第四章 19 4.1 球狀解碼 19 4.2球狀解碼的樹搜尋在區塊空間調變 23 4.3模擬結果 26 4.3.1 NBSM錯誤率 26 4.3.2 NBSM複雜度 27 4.3.3 GSM錯誤率 30 4.3.4 GSM複雜度 31 4.3.5 比較NBSM與GSM分別使用球狀解碼複雜度表現 34 4.4在球體解碼前使用強制歸零法(ZF) 37 4.4.1 估計軟值介紹 37 4.4.2模擬結果 39 第五章 43 參考文獻 44

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