通常在分析諧波參數的領域中，常使用快速傅立葉轉換（FFT）來求得諧波信號的特性，但由於FFT本身的條件限制，將造成分析時產生誤差效應，這些誤差效應，會使得所分析的諧波參數無法精確地求出。
為了改善FFT所造成的誤差效應，許多的改善方法因此而誕生，但這些改善方法雖可改善FFT所造成的誤差效應，但卻可能造成其他的誤差效應，或是計算量的增加，對於諧波參數的計算上，無法達到正確或快速計算的優點。
為達到正確及快速計算的優點，本論文將以FFT為基本架構，提出一套計算程序，不但保留了FFT快速計算的優點，並增加其計算的準確性。
本論文將分三階段作說明，第一個階段討論快速傅立葉轉換。第二階段討論無干擾情況下的參數計算。第三階段針對諧波的干擾做去除，以便求得精確的諧波參數。
最後將討論本方法的能力評估，分別針對精確度、處理速度、分析限制與解決方法及實例分析來驗證本方法的正確性，並提出未來研究方向，以供後續有意研究者參考用。

In the region of the harmonic parameter analysis, we often use the Fast Fourier Transform (FFT) to get the character of the signal, but due to the limit conditions of the FFT, the analysis results will appear some error effects, these error effects are: Aliasing effect、Leakage effect and Picket-fence effect.
When the error effects appear, we can not get the harmonic parameter accurate. For the purpose of getting accuracy harmonic parameters, In this paper proposes, we will introduce the analysis method of FFT and it's limit conditions, then will based on FFT to develop an accuracy formula to find the harmonic parameter fast and accurately.
This method will be divided into three parts. First, we will discuss the effect of harmonic to spectrum. Second, we will discuss the parameter calculation with no interfere. Third, we will rid interfere of the harmonic for getting accuracy harmonic parameter.
Finally, we will analysis the actual signal to prove the ability of this method, and raise the future research direction for the successor.

摘要
ABSTRACT
目錄
圖目錄
表目錄
第一章 緒論
1.1 研究背景
1.2 研究目的
1.3 論文架構
第二章 快速傅立葉轉換
2.1 快速傅立葉轉換（FFT）的由來
2.2 FFT的缺點
2.2.1理想的分析結果
2.2.2混疊效應
2.2.3洩漏及柵欄效應
2.2.4非週期波
第三章 傳統信號分析方法
3.1視窗法
3.2整數週期擴充法（IPE）
3.3群集諧波法
第四章 諧波參數精密計算之程序
4.1諧波對頻譜的影響
4.2無干擾下的諧波參數計算
4.2.1頻率的求取
4.2.2振幅的求取
4.2.3相位的求取
4.3干擾去除
4.4計算程序
4.5簡化計算式
4.5.1參數的計算
4.5.2假設之合理性
第五章 能力評估
5.1精確度
5.2處理速度
5.3分析限制與解決方法
5.3.1諧波頻率過於接近
5.3.2對於諧波信號中包含非週期波的分析
5.4實例分析
5.4.1轉速為1797rpm之分析結果
5.4.2轉速為1746rpm之分析結果
5.4.3轉速為1700rpm之分析結果
5.4.4轉速為1653rpm之分析結果
5.4.5轉速為1610rpm之分析結果
第六章 結論
6.1成果討論
6.2未來研究方向
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