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Rational function interpolation of electromagnetic transfer functions of high-speed interconnect systems from discrete time-domain and frequency-domain data.

机译:从离散时域和频域数据对高速互连系统的电磁传递函数进行有理函数插值。

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摘要

We present new methodologies to generate rational function approximations of broadband electromagnetic responses of linear and passive networks of high-speed interconnects, and to construct SPICE-compatible, equivalent circuit representations of the generated rational functions. These new methodologies are driven by the desire to improve the computational efficiency of the rational function fitting process, and to ensure enhanced accuracy of the generated rational function interpolation and its equivalent circuit representation.;Toward this goal, we propose two new methodologies for rational function approximation of high-speed interconnect network responses. The first one relies on the use of both time-domain and frequency-domain data, obtained either through measurement or numerical simulation, to generate a rational function representation that extrapolates the input, early-time transient response data to late-time response while at the same time providing a means to both interpolate and extrapolate the used frequency-domain data.;The aforementioned hybrid methodology can be considered as a generalization of the frequency-domain rational function fitting utilizing frequency-domain response data only, and the time-domain rational function fitting utilizing transient response data only. In this context, a guideline is proposed for estimating the order of the rational function approximation from transient data. The availability of such an estimate expedites the time-domain rational function fitting process.;The second approach relies on the extraction of the delay associated with causal electromagnetic responses of interconnect systems to provide for a more stable rational function process utilizing a lower-order rational function interpolation. A distinctive feature of the proposed methodology is its utilization of scattering parameters.;For both methodologies, the approach of fitting the electromagnetic network matrix one element at a time is applied. It is shown that, with regard to the computational cost of the rational function fitting process, such an element-by-element rational function fitting is more advantageous than full matrix fitting for systems with a large number of ports. Despite the disadvantage that different sets of poles are used in the rational function of different elements in the network matrix, such an approach provides for improved accuracy in the fitting of network matrices of systems characterized by both strongly coupled and weakly coupled ports.;Finally, in order to provide a means for enforcing passivity in the adopted element-by-element rational function fitting approach, the methodology for passivity enforcement via quadratic programming is modified appropriately for this purpose and demonstrated in the context of element-by-element rational function fitting of the admittance matrix of an electromagnetic multiport.
机译:我们提出了新的方法来生成高速互连的线性和无源网络的宽带电磁响应的有理函数逼近,并构造生成的有理函数的SPICE兼容等效电路表示形式。这些新方法是为了提高有理函数拟合过程的计算效率,并确保所生成的有理函数插值及其等效电路表示的精度提高而提出的。针对这一目标,我们提出了两种有理函数的新方法高速互连网络响应的近似值。第一个依赖于通过测量或数值模拟获得的时域和频域数据的使用,以生成有理函数表示,将输入的早期瞬态响应数据外推到时域的后期响应。 ;上述混合方法可以被认为是仅利用频域响应数据和时域对频域有理函数拟合的推广。仅使用瞬态响应数据进行有理函数拟合。在此情况下,提出了一个准则,用于从瞬态数据中估计有理函数近似的阶数。这种估计的可用性加快了时域有理函数的拟合过程。第二种方法依赖于与互连系统的因果电磁响应相关的延迟的提取,以利用低阶有理数提供更稳定的有理函数过程。函数插值。所提出的方法的一个显着特征是其对散射参数的利用。对于这两种方法,都采用了一次拟合一个元素的电磁网络矩阵的方法。结果表明,关于有理函数拟合过程的计算成本,对于具有大量端口的系统,这种逐个元素的有理函数拟合比全矩阵拟合更具优势。尽管存在缺点,即在网络矩阵中不同元素的合理功能中使用了不同的极点集,但这种方法在以强耦合和弱耦合端口为特征的系统的网络矩阵拟合中提供了更高的准确性。为了在采用的逐个元素有理函数拟合方法中提供一种增强无源性的方法,为此,对通过二次编程进行无源性实施的方法进行了适当的修改,并在逐个有理函数拟合的情况下进行了演示。电磁多端口的导纳矩阵

著录项

  • 作者

    Moon, Se-Jung.;

  • 作者单位

    University of Illinois at Urbana-Champaign.;

  • 授予单位 University of Illinois at Urbana-Champaign.;
  • 学科 Electrical engineering.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 153 p.
  • 总页数 153
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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