在本篇論文中,我們將頻譜正交預編碼式正交分頻多工系統 (Spectrally Orthogonally-Precoded OFDM,簡稱 SOP-OFDM) 與功率負載技術 (Power Loading,簡稱 PL) 做結合[1],目的是希望能在有效降低系統位元錯誤率的情況下,同時提供極佳的頻譜效率 (Spectral Efficiency)。在此論文中,我們提出以下兩種架構: 1.同時設計等化器和預編碼器使得 SOP-OFDM 系統的均方誤差 (Mean Square Error,簡稱 MSE) 達到最小 2. SOP-OFDM 系統使用 MMSE 等化器下的預編碼器設計使得高斯近似瞬時位元錯誤率 (Asymptotical Average Instantaneous Bit Error Rate) 達到最小,並驗證出此兩種架構的平均位元錯誤率表現皆優於現有的 SOP-OFDM 系統在使用零強制 ( Zero Forcing ) 等化器下所設計出的功率負載技術[1]。最後,我們會在雙路徑衰減通道下,討論各種正交預編碼在上述兩種架構的平均位元錯誤率表現、均方誤差表現,頻帶外功率特性與複雜度。
In this thesis, we combine Spectrally Orthogonally-Precoded OFDM System (SOP-OFDM) with power loading (PL) techniques in order to improve BER performance and provide very high spectral efficiency [1]. We propose the following two algorithms: 1. Joint equalization and block precoding in order to minimize mean square error of SOP-OFDM system 2. Block precoding design in order to minimize asymptotical average instantaneous bit error rate of SOP-OFDM system with MMSE equalizer. The BER performance of these two systems both outperforms the existing SOP-OFDM systems with power loading design by using Zero Forcing equalizer [1]. Eventually, on two-ray fading channels, we will compare average BER performance, mean square error performance, fractional out-of-band power characteristics and complexity of the spectral codes with different power loading algorithms.