在這篇論文中，提出結合 濾波器於分離演算法，藉以處理相加性雜訊和衰減環境下的多通道信號分離的問題，它也是基於在狀態空間模型及 濾波器，處理在衰減通道的傳輸，基本上，調頻系統在通訊應用上已非常地廣泛，不幸的是當有兩個或更多個調頻信號重複出現時，即使系統在很高的信號雜訊比值情況下操作，由於多通道干擾的影響，解調還是會發生錯誤。
　　因此，藉由一狀態空間分離濾波器結合 濾波器狀態估測近似法，可以去解含相加性雜訊及衰減通道信號分離的問題，我們將利用狀態空間方程式及 濾波器近似法去設計含相鎖迴路(PLL：Phase-Locked Loop)、幅鎖迴路(ALL：Amplitude-Locked Loop)及低通濾波器(LPF: Low-Pass Filter)的離散動態分離濾波器狀態空間模型。模擬結果可顯示出信號分離之效能於相加性雜訊和衰減通道條件下。結合 濾波器近似法的分離濾波器，可以在不同的通道信號雜訊比的多通道系統中，具有比傳統式分離濾波器更好的信號分離效果。

In this thesis, a combined filter for the separation algorithm approach is proposed to address the problem of multi-channel signal separation in the additive noise and fading environment. It is also based on the state-space model with filter for processing the fading channel transmission. The FM system is used extensively in communication applications. Unfortunately, when two or more FM signals are presented, even at high signal nosie ratio (SNR) conditions, demodulation errors can occur due to the multi-channel interference .
Therefore, a state-space separation filter combined the state estimation approach with filter can be solved the problem of signal separation on additive noise and fading channel. We designed the discrete-time dynamical separation filter state-space model that consisted of the phase-locked loop (PLL), amplitude-locked loop (ALL) and low-pass filter (LPF) by using state-space formulation and filter approach. The simulation results are demonstrated that the combined filter approach separation filter is implemented the performance better than the conventional separation filter in multi-channel systems for different channel signal to noise ratio (SNR).

中文摘要 i
英文摘要 ii
致謝 iii
目錄 iv
圖目錄 vi
第一章　簡介 1
第二章　背景及分析 3
2.1　頻率調變 3
　2.2　鎖相迴路 5
　2.3　共通道信號干擾 9
　2.4　鎖幅迴路的分析 13
　2.5　調頻解調器之共通道干擾之改善 17
　2.6　白色高斯雜訊 26
　2.7　調頻系統中的雜訊 28
　　2.7.1　雜訊比的定義 29　　
第三章　狀態空間模型及分離濾波器 31
3.1　狀態空間模型傳送器系統 31
　3.2　分離濾波器設計技術 34
　3.3　分離濾波器之狀態空間模型 39
　3.4　以線性矩陣不等式限制解離散問題的可能性 45
3.4.1　 濾波器 45
3.4.2　線性矩陣不等式 47
第四章　模擬結果 49
4.1　共通道調頻信號模擬的結果 49
4.1.1　共通道調頻信號分離 49
4.2　多通道調頻信號模擬的結果 55
　　4.2.1　多通道調頻信號分離 55
第五章　結論 58
參考文獻 59
發表論文 61
自傳 62

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