模擬1/f神經傳導流及集群卜瓦松過程之參數估計─以正常人心跳為例

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Title:	模擬1/f神經傳導流及集群卜瓦松過程之參數估計─以正常人心跳為例
Other Titles:	Simulation of 1/f Spectra and Parameter Estimation of Cluster Poisson Processes-with Applications to Human Heartbeat Processes
Authors:	葉芳瑜 YEH, FANG-YU
Contributors:	劉家頤 Liu, Chia-Yee 統計學系
Keywords:	1/f頻譜密度函數;心跳;群集卜瓦松過程 1/f spectral density function;Heartbeat;cluster Poisson processes
Date:	2019
Issue Date:	2019-12-16T06:28:25Z (UTC)
Abstract:	本研究以心跳為主題，將1/f型態之隨機點過程應用在正常人心跳資料上。由於群集普瓦松過程亦同樣具有1/f型態之頻譜密度函數，故本研究以群集卜瓦松過程來探討，過程中以實測貓在異相睡眠和觀察鳥時其腦網狀組織（MRF）下，神經傳導流之波動，求出頻譜密度函數與其頻譜圖為背景，探討參數間可能的關係，以觀察的試誤法估計正常人心跳之參數值。 According to human heartbeat character, The 1/f characteristic in point processes was tried to apply to the healthy human heartbeat. The spectra demonstrating an 1/f pattern were shown to have been resulted from cluster Poisson processes. Therefore, this paper tries to fit the cluster Poisson processes model used in modeling cat’s mesencephalic reticular formation (MRF) neural spike trains while during paradoxical sleep (PS) and bird watching (BW) to human heartbeat patterns. Exploring the possible relationships between parameters, and estimating the parameter values of healthy human heartbeat by the trial and error method.
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