Kalman Filtering應用於可適性載波同步系統之研究

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姓名

林威岑(Wei-Tsen Lin) 查詢紙本館藏

畢業系所

通訊工程學系

論文名稱

Kalman Filtering應用於可適性載波同步系統之研究
(Investigation of Kalman Filtering for Adaptive Carrier Synchronization)

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摘要(中)

本篇論文探討以Kalman Filtering演算法處理通訊系統中存在的載波相位同步問題。針對此問題，實務上的解決方法是在接收機端使用一載波同步系統來達成發射與接收端間載波相位的同步，傳統上使用一基於回授控制系統的鎖相迴路來實現載波同步系統，然而因其使用的迴路頻寬為固定，以致在載波回復系統的設計上常是必須在系統的收斂時間與穩態誤差間做一妥協，這對設計者而言亦是一挑戰。有別於傳統上使用鎖相迴路架構的載波同步作法，Kalman Filtering演算法可作為可適性載波同步系統的應用，採用此種架構的主要優點為使用一具可適性調整的迴路頻寬在系統的收斂時間與穩態誤差間取得較佳的妥協，另外透過將載波同步問題導入為一Kalman Filtering的演算法應用，載波同步系統的設計更可簡化為僅設定對系統模型與量測結果的預估誤差程度即可，而有別於傳統上採用的鎖相迴路在設計上需設定迴路中的各個參數值。

摘要(英)

In this thesis, we study the adaptive carrier synchronization by using the Kalman filtering technique. Practically, such problem can be resolved by a carrier synchronization loop in the receiver. Conventionally, a feedback loop called the phase-locked loop (PLL) is used to implement the carrier synchronization loop. However, due to the fixed loop bandwidth, the design of a PLL always needs the acquisition time and steady-state phase tracking variation of the carrier recovery loop to be compromised and thus possesses a design challenge for designers.Instead a legacy approach based on the PLL structure, an alternative method is to use the Kalman filtering technique. The major advantage of the Kalman-based scheme over the conventional PLL one is the self-adaptation of loop bandwidth for better compromising the trade-off between fast acquisition and small steady-state phase tracking variation. Moreover, by modeling the carrier drift as a Kalman filtering problem, the design of carrier recovery loops can be further simplified to set the noise condition according to the underlying process model and observations rather than to specify each filter parameter as the conventional PLL requires.

關鍵字(中)

★ 卡曼濾波器
★ 鎖相迴路
★ 可適性載波回復

關鍵字(英)

★ QAM
★ Adaptive carrier synchronization
★ cable receiver
★ Kalman filter
★ phase-locked loop

論文目次

摘要 i
Abstract ii
Contents iii
List of Figures v
List of Tables viii
Chapter 1 Introduction 1
1.1 Motivation 1
1.2 Summary of Related Studies 2
1.3 Thesis Organization 3
Chapter 2 Fundamentals of Carrier Synchronization 4
2.1 Problem Formulation 4
2.2 Impacts of Carrier Impairments 6
2.3 Decision-Directed Carrier Recovery 7
Chapter 3 Kalman-Based Carrier Synchronization 12
3.1 The Kalman Filter Algorithm 12
3.1.1 The Discrete-Time Kalman Filter 12
3.1.2 The Discrete-Time Extended Kalman Filter 14
3.2 Carrier Synchronization by the Kalman Filter: Two-State Modeling 16
3.2.1 Process Model and Measurement Model 16
3.2.2 Derivation 18
3.3 Carrier Synchronization by the Kalman Filter: One-State Modeling 21
3.3.1 Process Model and Measurement Model 21
3.3.2 Derivation 21
3.3.3 One-State Modeling with Reduced Observation 24
3.4 Properties of the Kalman-Based Carrier Synchronization 26
3.5 Complexity of the Kalman-Based Carrier Synchronization 30
3.6 Cable QAM Applications 32
3.6.1 System Description 32
3.6.2 Demonstration Results 35
Chapter 4 Experimental Prototype 38
4.1 System Model 38
4.2 Prototype Design 41
4.2.1 Architecture Overview 41
4.2.2 Receive Filter 43
4.2.3 Timing Recovery by Interpolator 44
4.2.4 Carrier Recovery by the Kalman Filter 50
4.3 Simulation Results 54
4.3.1 Simulation Setup 54
4.3.2 System Simulation Results 55
4.3.3 Hardware Simulation Results 62
4.4 Verification 65
4.4.1 Verification Setup 65
4.4.2 Verification Results 67
4.5 Design Summary 70
Chapter 5 Discussion 71
References 72

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指導教授

張大中(Dah-Chung Chang)

審核日期

2005-7-14

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