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標題: | 泰勒散布的馬可夫式建模與分析及其在分子通訊上的應用 Markovian Modeling and Analysis of Taylor Dispersion and Its Application to Molecular Communication |
作者: | Yun-Feng Lo 駱昀鋒 |
指導教授: | 葉丙成 |
關鍵字: | 泰勒散布,泊肅葉流,馬可夫式模型,邊界條件,分子通訊,環形調變,理論位元錯誤率分析, Taylor dispersion,Poiseuille flow,Markovian model,boundary condition,molecular communication,ring modulation,theoretical bit error rate analysis, |
出版年 : | 2018 |
學位: | 碩士 |
摘要: | 泰勒散布是流體力學中由分子擴散與非均勻層流場交互作用下造成的物理效應。泰勒提出有效擴散係數的概念以建立流經管道的溶劑中溶質的濃度分佈模型。之前相關的研究大都著重在具有反射邊界條件的管道中溶質濃度的長期漸近分佈。在本論文中,我們提出馬可夫式模型來描述在任意時間、一足夠廣泛的邊界條件下的泰勒散布,並推導出軸向位移的機率密度函數。本文中以短時間內、吸收邊界條件的情況下進行數值模擬,充分驗證了本模型的有效性。分子通訊利用分子作為訊息載體,並且有望很好地應用於傳統電磁通訊表現不佳的環境。其眾多優點包括生物相容性與能量效率。基於所提出的泰勒散布的馬可夫式模型與分析,我們提出一種分子通訊系統,可用在有泊肅葉流場的管道中,例如血管。我們考慮三種類型的調變,即開關鍵控調變、環形調變和位置調變,並使用三種類型的判定規則:計數器、硬判定和軟判定。我們針對每對調變和判定規則分析其理論位元錯誤率,並通過數值模擬評估該分子通訊系統的性能。 Taylor dispersion is a physical effect in fluid dynamics caused by the interaction between molecular diffusion and a non-uniform laminar flow field. Taylor models the concentration distribution of soluble matter in solvent flowing through a tube by means of an effective diffusion coefficient. Previous papers on this topic focus on the long-time asymptotic distribution of concentration in a tube with a reflecting boundary. In this thesis, we propose a Markovian model to describe Taylor dispersion in any length of time and under a boundary condition general enough. The probability density function of axial displacement is also derived. The validity of our model is well verified by numerical simulations in the case of an absorbing boundary for the short-time period. Molecular communication utilizes molecules as information carriers and is expected to apply well to environments in which traditional electromagnetic communication performs poorly. Among many of its advantages are bio-compatibility and energy-efficiency. Based on the proposed Markovian model and analysis for Taylor dispersion, we propose a molecular communication system inside a tube where a Poiseuille flow field is present, e.g., blood vessels. We propose 3 types of modulation schemes, namely, On-Off Keying modulation, Ring modulation and Position modulation and use 3 types of decision rules: Counter, Hard and Soft. Theoretical bit error rates are analyzed for each pair of modulation scheme and decision rule, and the performance of this molecular communication system is evaluated through numerical simulations. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/78898 |
DOI: | 10.6342/NTU201804085 |
全文授權: | 有償授權 |
電子全文公開日期: | 2023-09-05 |
顯示於系所單位: | 電信工程學研究所 |
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