在本論文中，我們提出了一套系統化的方法，將程式執行的行為蹤跡轉換成以頻域表示，並藉此準確的定義程式執行段落。分析過的結果可以被嵌入程式碼中來標記每一個執行段落的起始點以及特性(例如CPI值)，並可以用來在程式運行時預測執行段落。藉由這些精確的程式執行段落資訊，將可以探索和開發更聰明的軟體和系統優化技術。

In this paper, we present a systematic approach that transforms the program execution trace into frequency domain and precisely identifies program phases. The analyzed results can be embedded into program code to mark the starting point and execution characteristics, such as CPI (Cycles per Instruction), of each phase. The so generated information can be applied to runtime program phase prediction. With the precise program phase information, more intelligent software and system optimization techniques can be further explored and developed.

Chapter 1 Introduction 6
Chapter 2 Related Work 11
A.Time-quantum-based Approaches 11
B.Program-structure-based Approaches 13
Chapter 3 Frequency-DOMAIN Program Phase Analysis Method 16
A.Frequency Domain Analysis 17
B.Basic Block Performance Value 21
C.Basic Block as Phase Starting Point 23
D.Code Structure and Phase 24
E.Hierarchical Phase Information 25
F.Propose Algorithm Flow 26
Chapter 4 Experiments 28
A.Methodology 28
B.Evaluation Results 28
C.Discussion 30
Chapter 5 Conclusion 34
Bibliography 35

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