在本論文中，我們在多重輸入多重輸出 (multiple input multiple output ; MIMO)情形下研究一種基於離散哈特利轉換 (discrete Hartley transform；DHT) 的替代性濾波器組多載波 (FBMC) 系統的數據偵測法，而不是眾所周知的基於離散傅立葉轉換 (discrete Fourier transform；DFT) 之FBMC系統。在基於DHT的MIMO FBMC系統中，訊號經過多路徑傳輸將受到天線間干擾 (IAI)、載波間干擾 (ICI) 以及符元間干擾 (ISI)。對於接收端的數據偵測，我們考慮一種實際的情況，因為傳送訊號和通道響應做線性折積運算且FBMC系統中沒有CP，所以在基於DHT的MIMO FBMC系統中產生非對角頻域通道矩陣。我們採用一種改善的二維排序演算法在每一對鏡像對稱的子載波上做聯合資料偵測，在此使用的是full-tap per-two-tone等化方式，而不是傳統的single-tap per-tone等化方式。為了提高資料偵測性能，部分平行干擾消除技術被進一步提出，用於修改的二維排序演算法。電腦模擬結果顯示我們所提出的DHT-MIMO FBMC系統可以達到比現有的DFT-based MIMO FBMC系統較好的位元錯誤率，然而前者所使用的聯合資料偵測需要比較高的運算量，以開發DHT系統中的多樣性增益。

In this thesis, we investigate data detection algorithms for an alternative filter bank multicarrier (FBMC) system based on the discrete Hartley transform (DHT), instead of the well-known discrete Fourier transform (DFT), under a multiple-input multiple-output (MIMO) scenario. In DHT-based MIMO FBMC, signals transmitted through multipath channels will be affected by inter-antenna interference, inter-carrier interference, and inter-symbol interference. For data detection at the receiver, we consider a practical situation where the transmitted signals are linearly convolved with the channel impulse response and there is no CP in the FBMC system, resulting in a non-diagonal frequency-domain channel matrix in the DHT-based MIMO FBMC system. Then, we adopt a modified two-dimensional ordering algorithm with joint data detection on each mirror-symmetrical pair of subcarriers at the receiver, where full-tap per-two-tone equalization is used instead of the conventional single-tap per-tone equalization. To improve detection performance, partial parallel interference cancellation is further considered for the modified two-dimensional ordering algorithm. Computer simulation results show that the proposed DHT-based MIMO FBMC system achieves better bit-error-rate performance than the existing DFT-based MIMO FBMC system, but the former requires higher computational complexity for joint data detection at the receiver to exploit the diversity gain.

Contents
Abstract i
Contents ii
List of Figures iii
List of Tables vii
I. Introduction 1
II. System Model 5
A. General DHT-Based FBMC System Model 5
B. DHT-Based FBMC System with Two Prototype Filters 6
C. DHT-Based MIMO FBMC Systems with Two Prototype Filters 10
III. Proposed Methods 16
A. Full-Tap MMSE Equalizer 17
B. Full-Tap ML Detection 18
C. Modified Two-Dimensional Ordering Algorithm 19
D. A Partial Parallel Interference Cancellation for Modified Two-Dimensional Ordering Algorithm 27
E. Comparison and Reduction of Complexity 29
IV. Simulation Results 31
V. Conclusion 44
References 45

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