基于隨機(jī)矩陣?yán)碚摰娜梭w脈搏數(shù)據(jù)分析方法研究
發(fā)布時(shí)間：2018-07-07 15:34
本文選題：隨機(jī)矩陣?yán)碚?/strong> + 脈搏數(shù)據(jù)分析��； 參考：《北京郵電大學(xué)》2017年碩士論文
【摘要】：隨機(jī)矩陣?yán)碚?Random Matrix Theory, RMT)是概率統(tǒng)計(jì)學(xué)科的重要研究領(lǐng)域,運(yùn)用隨機(jī)矩陣?yán)碚搶?duì)復(fù)雜系統(tǒng)進(jìn)行分析是研究其特性的重要途徑之一。它通過對(duì)復(fù)雜系統(tǒng)的能量譜分布以及本征值分布進(jìn)行統(tǒng)計(jì)分析揭示實(shí)際數(shù)據(jù)中的關(guān)聯(lián)行為特征,并以此對(duì)復(fù)雜系統(tǒng)的結(jié)構(gòu)和性質(zhì)進(jìn)行研究和分析。中醫(yī)認(rèn)為,脈搏波在節(jié)律、強(qiáng)度、形態(tài)等方面呈現(xiàn)出信息能夠反映出人體心血管系統(tǒng)和神經(jīng)系統(tǒng)中許多生理病理的血流特性。以往的脈搏分析方法多結(jié)合醫(yī)學(xué)知識(shí)進(jìn)行分析,對(duì)于常識(shí)及數(shù)據(jù)精度的要求較高。人體是一個(gè)復(fù)雜的系統(tǒng),利用隨機(jī)矩陣?yán)碚撎幚砻}搏波中人體的生理病理信息對(duì)分析脈搏數(shù)據(jù)具有重要價(jià)值。本文將根據(jù)隨機(jī)矩陣?yán)碚?Random Matrix Theory,RMT)中數(shù)據(jù)建模分析的方法來處理脈搏數(shù)據(jù),利用單環(huán)定理(Single Ring Law)對(duì)人體的脈搏數(shù)據(jù)進(jìn)行處理,分析對(duì)應(yīng)狀態(tài)。大致分為四個(gè)部分:1.結(jié)合隨機(jī)矩陣?yán)碚撆c脈學(xué)知識(shí)分析其在處理脈搏數(shù)據(jù)方面的可行性,并對(duì)特殊矩陣進(jìn)行仿真分析。2.以飛識(shí)科技有限公司開發(fā)的脈搏傳感器作為脈搏采集裝置,設(shè)計(jì)數(shù)據(jù)采集方案,采集數(shù)十名在校學(xué)生志愿者及中醫(yī)科學(xué)院西苑醫(yī)院心血管病人的脈搏數(shù)據(jù)。3.將測得的脈搏數(shù)據(jù)進(jìn)行預(yù)處理后進(jìn)行數(shù)據(jù)建模。按照一定的矩陣處理方式對(duì)其進(jìn)行處理得到特定的譜分布并研究其經(jīng)驗(yàn)譜分布的漸進(jìn)行為或偏離行為。4.結(jié)合四象限模式從中選擇處于不同象限的數(shù)據(jù)進(jìn)行縱向和橫向?qū)Ρ?對(duì)其譜分布情況進(jìn)行分析對(duì)比,得出狀態(tài)與脈搏的對(duì)應(yīng)關(guān)系。
[Abstract]:Random Matrix Theory (RMT) is an important research field in the field of probability and statistics, and the use of stochastic matrix theory to analyze complex systems is one of the important ways to study its characteristics. Through the statistical analysis of the energy spectrum distribution and eigenvalue distribution of complex systems, it reveals the correlation behavior characteristics in actual data, and studies and analyzes the structure and properties of complex systems. Chinese medicine believes that pulse wave in rhythm, intensity, morphology and other aspects of information can reflect the cardiovascular system and nervous system in many physiological and pathological characteristics of blood flow. Previous pulse analysis methods combined with medical knowledge require high common sense and data accuracy. Human body is a complex system. It is of great value to analyze pulse data by using random matrix theory to deal with physiological and pathological information of human body in pulse wave. In this paper, pulse data are processed according to the method of data modeling and analysis in Random Matrix Theory (RMT), and the pulse data of human body are processed by single Ring Law, and the corresponding states are analyzed. It is roughly divided into four parts: one. Combined with random matrix theory and pulse knowledge, the feasibility of processing pulse data is analyzed, and the special matrix is simulated and analyzed. Using the pulse sensor developed by Feike Science and Technology Co., Ltd as the pulse acquisition device, a data acquisition scheme was designed to collect the pulse data of dozens of student volunteers and cardiovascular patients in Xiyuan Hospital, Chinese Academy of Sciences. The measured pulse data are preprocessed and modeled. According to a certain matrix processing method, the specific spectral distribution is obtained and the asymptotic behavior or deviation behavior of the empirical spectral distribution is studied. In combination with the four-quadrant model, the data in different quadrants are selected for longitudinal and horizontal comparison, and the spectrum distribution is analyzed and compared, and the corresponding relationship between state and pulse is obtained.
【學(xué)位授予單位】：北京郵電大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O213
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