Rational Function Interpolation of Electromagnetic Transfer Functions of High-Speed Interconnect Systems from Discrete Time-Domain and Frequency-Domain Data

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.

From the human rights-based approach to an ecological approach on how to achieve successful inclusion in international disability education

The barriers that people with disabilities face around the world are not only inherent to the limitations resulting from the disability itself, but, more importantly, these barriers rest with the societal technologies of exclusion. Using a mixed methodology approach, I conduct a quest to revealing several societal factors that limit full participation of people with disabilities in their communities, which will contribute to understanding and developing a more comprehensive framework for full inclusion of people with disabilities into the society. First, I conduct a multiple regression analysis to seek whether there is a statistical relationship between the national level of development, the level of democratization, and the level of education within a country’s population on one hand, and expressed concern for and preparedness to improve the quality of life for people of disabilities on another hand. The results from the quantitative methodology reveal that people without disabilities are more prepared to take care of people with disabilities when the level of development of the country is higher, when the people have more freedom of expression and hold the government accountable for its actions, and when the level of corruption is under control. However, a greater concern for the well-being of people with disabilities is correlated with a high level of country development, a decreased value of political stability and absence of violence, a decreased level of government effectiveness, and a greater level of law enforcement. None of the dependent variables are significantly correlated with the level of education from a given country. Then, I delve into an interpretive analysis to understand multiple factors that contribute to the construction of attitudes and practices towards people with disabilities. In doing this, I build upon the four main principles outlined by the United Nations as strongly recommended to be embedded in all international programmes: (1) identification of claims of human rights and the corresponding obligations of governments, hence, I assess and analyze disability rights in education, looking at United Nation, United States, and European Union Perspectives Educational Rights Provisions for People with Disabilities (Ch. 3); (2) estimated capacity of individuals to claim their rights and of governments to fulfill their obligations, hence, I look at the people with disabilities as rights-holders and duty-bearers and discuss the importance of investing in special capital in the context of global development (Ch. 4); (3) programmes monitor and evaluate the outcomes and the processes under the auspices of human rights standards, hence, I look at the importance of evaluating the UN World Programme of Action Concerning People with Disabilities from multiple perspectives, as an example of why and how to monitor and evaluate educational human rights outcomes and processes (Ch. 5); and (4) programming should reflect the recommendations of international human rights bodies and mechanisms, hence, I focus on programming that fosters development of the capacity of people with disabilities, that is, planning for an ecology of disabilities and ecoducation for people with disabilities (Ch. 6). Results from both methodologies converge to a certain point, and they further complement each other. One common result for the two methodologies employed is that disability is an evolving concept when viewed in a broader context, which integrates the four spaces that the ecological framework incorporates. Another common result is that factors such as economic, social, legal, political, and natural resources and contexts contribute to the health, education and employment opportunities, and to the overall well-being of people with disabilities. The ecological framework sees all these factors from a meta-systemic perspective, where bi-directional interactions are expected and desired, and also from a human rights point of view, where the inherent value of people is upheld at its highest standard.