本文應用傅立葉正弦頻譜和傅立葉正弦時頻產生器，研究討論脈聲儀系統量測手腕之橈動脈管壁訊號，其與侵入式血壓訊號(Invasive Arterial Blood Pressure，IABP) 、心電圖訊號(ElectroCardioGram，ECG)等在心跳頻帶的相關性。頻譜和時頻產生器包括以下過程：使用疊代式高斯平滑法移除非週期和極低頻部份，再用單調式三次方分段內插法，幫忙定出所剩的週期性部份數據兩端的零點，經內插重新分佈點及奇函數轉換，以快速傅立葉級數轉換法，求取傅立葉正弦頻譜。隨後對頻譜取有限的帶狀頻帶後，對頻譜做快速傅立葉級數轉換法逆轉換，求得傅立葉正弦時頻之實數部份，再應用希爾伯特轉換式求得振幅並畫出時頻圖。本文討論的對象為十五名某醫院創傷外科部的病患，這些數據在頻譜圖及時頻圖上可以確實看到頻率和振幅的變化。經採用王等人所發展的心血管循環系統之壓力及共振理論，將第一個主頻帶(約1Hz附近)，歸類為心跳頻帶。本文使用三種訊號傅立葉波模組的時域數據，作定量上交叉相關係數(Cross-Correlation Coefficient)比較。結果發現IABP訊號與脈聲儀訊號的相位角(phase) 沒有明顯同步的現象，有待進一步的研究以改正此缺失。相反的，對某些身體狀態不算惡劣的病人而言，其IABP與ECG訊號之相關性雖然是高度負相關，但癒後情形還算相當良好，而相關性差的病人其病例顯示痊癒情況並不好。

This study employs the Fourier sine spectrum and spectrogram generator to study the data measured from the wrist artery via a simple sonocardio- graphy system, the Invasive Arterial Blood Pressure (IABP) data, and the ElectroCardioGram (ECG) data. The main concerning is the coefficient of the cross correlation function between their spectra, especially between the sonocardiography and IABP spectra. This study examines 15 cases of the branch of serious wound of a hospital. From their spectra and spectrograms, their time domain data with respect to single and two Fourier modes are evaluated. Then, their coefficients of the cross-correlation function with respect to the Fourier modes are examined. The resulting coefficients show that the IABP and sonocardiography signals do not have proper in phase phenomenon. On the other hand, the coefficients between IABP and ECG of most cases, whose anamneses show they had recovered eventually, are approaching to -1 value. Those coefficients corresponding to the case of bad anamnesis records are not properly correlated. As a whole, the coefficient of the cross-correlation function between IABP and ECG can be an index of the health condition of the cardiovascular system.

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