本文應用傅立葉正弦頻譜和傅立葉正弦時頻圖產生器，配合王等人所發展的心血管動脈內之壓力波共振理論，以討論研究動脈訊號。新時頻產生器包括：使用疊代式高斯平滑法移除非週期和極低頻部份，在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後。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振幅並畫出時頻圖。本文分析四組實驗數據。第一組是使用脈聲儀系統量取手腕動脈壓力訊號，對象是運動後的手腕脈博訊號，第二、三組是分析作全身和局部麻醉的人工膝關節手術者之訊號，訊號用侵入式的脈博壓力量測儀(ABP)量手腕動脈訊號，以及心電圖信號(ECG)。第四組是剖婦產之脈波訊號分析，包括ABP和ECG訊號。這些訊號都可以用原始數據，看到頻譜圖和時頻圖的頻率和振幅變化，做合理的說明。從第一組數據可以證明王等人的共振理論，可以合理解釋運動後的恢復期內，各主要器官的生理運作。本文也發現局部麻醉會阻礙神經訊號的傳遞，使自主神經系統不能作出正常反應。在臨界狀態下，待產孕婦的ECG訊號有明顯缺陷時，ABP訊號仍能正常合理的運作，驗證了人體系統的驚人容錯能力。本研究證明傳統的中國醫學把脈技術可以用在現代數據處理分析與現代醫學技術上，利用健診偵測儀器及頻譜圖和時頻圖，可以提供有用分析工具，以促進中西醫之合併。

This dissertation discussed the artery pulse data by applying the Fourier sine spectrum and Fourier sine spectrogram together with the pressure wave oscillation model in cardiovascular proposed by Wang et al. In order to grasp the pure spectral information, the non-sinusoidal part is removed by applying the iterative Gaussian smoothing method. In the remaining sinusoidal part, zero points around the two ends are identified by a searching procedure and interpolation. After dropping segments beyond two the zero ends, the corresponding Fourier sine spectrum is obtained by performing an odd function mapping. The time-frequency transform then imposes finite bandwidth Gaussian window upon the Fourier sine spectrum centered at a given frequency. The inverse Fourier transform of the band-pass limited spectrum gives the real part of the resulting spectrogram. In this paper four set of test data were analyzed. The first group is radial artery pressure signals taking after 20 minutes exercises of 15 young men in terms of the sonocardiovascular system. The second and third groups are signals of patients who were undergoing knee joint replacement surgery by the local and general anesthesia. The signals were measured invasively by the Arterial Blood Pressure (ABP) system at the wrist artery and the ECG. The fourth group is the pulse signal of a caesarean section including ABP and ECG signals. All of these signals can be reasonably interpreted with the help of overall inspection upon the original data and mean variation of frequency and amplitude of spectrum over finite time intervals and spectrogram. The first test shows that the pressure wave oscillation model of Wang et. al. can reasonably explain the performance of human’s main organ in the recovery period after a violent exercise. This study found that the local anesthesia has the effect of seriously blocking the nerve transmission and cause the automatic nervous system failed to response properly. This study also showed that, under the critical conditions, when the ECG signal of a parturient was of obviously defective, her ABP signal will still falls within the normal range. It substantiated the tremendous fault tolerance capabilities of a human body. This study proved that the technology of pulse-taking in traditional Chinese medicine can be applied in modern medication and be analyzed by modern data processing method. The utilization of spectrum and spectrogram generated by diagnostic instruments has a great potential to enhance the cooperation of the traditional Chinese medicine and Western medicine.

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