在本論文中，我們首先簡短討論影響高速傳輸訊號的一些雜散效應如振盪、訊號延遲、失真、反射及串音干擾，並且介紹一些EDA 軟體如Ansoft Q3D Extractor、Hspice，提出一套分析方法，將封裝架 (package)做更細微的切割，並使用適當的傳輸線模型 (Transmission Line model)來做模擬，使其適用於探討封裝架構對高速數位訊號的影響。 其次，「參數匹配法」(moment matching technique)被使用來加快模擬的速度.但在「參數匹配法」中，會因為傳輸線的長度而產生一些準確度的問題。本論文針對「參數匹配法」提供一個新的傳輸線模型來縮短整個估算法執行的過程，除此之外，我們也利用了數學的證明來驗證新的傳輸線模型確實能解決準確度的問題。我們分別以0.3m和0.5m的單條傳輸線為例。在0.3m的例子中，若RMS error要求為小於0.0046V，新的傳輸線模型只需6個極點和1個頻率展開點，而舊的傳輸線模型需要11個及點和11個頻率展開點。若以相同的極點數來看(6個) ，舊的傳輸線模型的RMS error為0.0165V，新的傳輸線模型的RMS error為0.0042V。在0.5m的例子中，若RMS error要求為小於0.0027V，新的傳輸線模型只需5個極點和1個頻率展開點，而舊的傳輸線模型需要19個及點和17個頻率展開點。若以相同的極點數來看(5個) ，舊的傳輸線模型的RMS error為0.0371V，新的傳輸線模型的RMS error為0.0027V In this thesis, we first introduce some electrical design automation (EDA) tool such as Ansoft Q3D Extractor and propose a new analytic method, which divide the package into small component and use W-element distributed model for the simulation. This method is suitable to explore the influence of package on high-speed digital signal. Second, moment matching technique (MMT) is used to improve the simulation efficiency. But there are some problems in MMT. When the length of lossy transmission line increases, the accuracy will deteriorate. In this thesis, we propose a new distributed transmission line model for MMT to shorten the complicated process. Besides, we also prove it in mathematics. For the case with 0.3m transmission line, to a demand on RMS error of less than 0.0046V, one method (modified MMT) needs only 6 poles and 1 hop while the original MMT requires 11 poles and 11 hops. For the same number poles (6 poles), the error of MMT is 0.0165V and modified MMT is 0.0042V. For the case with 0.5m transmission line, to a demand on RMS error of less than 0.0027V, one method (modified MMT) needs only 5 poles and 1 hop while the original MMT requires 19 poles and 17 hops. For the same number poles (5 poles), the error of MMT is 0.0371V and modified MMT is 0.0027V.
