複指數信號參數估測方法METHOD FOR ESTABLISHING A SIMULATING SIGNAL SUITABLE FOR ESTIMATING A COMPLEX EXPONENTIAL SIGNAL

專利類型

發明

專利國別 (專利申請國家)

美國

專利申請案號

12/317419

專利證號

US 8,326,907 B2

專利獲證名稱

複指數信號參數估測方法METHOD FOR ESTABLISHING A SIMULATING SIGNAL SUITABLE FOR ESTIMATING A COMPLEX EXPONENTIAL SIGNAL

專利所屬機關 (申請機關)

義守大學

獲證日期

2012/12/04

技術說明

本文利用快速傅立葉轉換的結果建立一組完整的公式估測複數指數的參數。信號中的分量以複指數構成。複指數的參數包含振幅，頻率，阻尼，及相位。參數估測利用每個頻帶中最高的振幅為參考。依分量在複數平面上不同的位置建立其特有的計算式。包括週期性、純阻尼、直流、低頻、混和週期性及阻尼的分量等。分析的結果能顯示精確的複指數參數。該方法具有三項特點：第一，模型的階數不必預先設定；第二，精確的計算結果；最後，使FFT分析的結果能應用到完整的複數平面。 This paper establishes complete formulas to estimate complex exponential components by results of the fast Fourier transform. The signal is composed of the component with complex exponent. The parameters of complex exponent contain frequency, damping, amplitude, and phase. The parameter estimation uses the data with highest amplitude of each band as reference. According to different position on the complex plane, the unique formula will be established. The analysis result can demonstrate the precise complex exponential parameters. This method has three characteristics: First, the order of signal doesn’t be establish in advance; Second, the result can be found exactly; Finally, the result of FFT can be applied to the full complex plane.

備註

連絡單位 (專責單位/部門名稱)

產學智財營運總中心產學合作與專利技轉中心

連絡電話

07-6577711ext2683

網址