Abstract In this work, we proposed a framework for the digital Hilbert transformer that can limit 90-degree deviations. We studied the cascade realization of the divisions of the structure to include phase sensitivity minimization of all-pass sections. The design is tested for efficiency, providing acceptable experimental results.... In this work, we proposed a framework for the digital Hilbert transformer that can limit 90-degree deviations. We studied the cascade realization of the divisions of the structure to include phase sensitivity minimization of all-pass sections. The design is tested for efficiency, providing acceptable experimental results. Read More Read Less

Abstract In the last few years, the new technology in blogging has added new features such as semantic content. It is not easy to access blog content in an aggregated and seamless way. Considering user requirements, we have developed a new framework for organizing results. While doing it, we faced the issues of personalization and collaboration. We intend to provide... In the last few years, the new technology in blogging has added new features such as semantic content. It is not easy to access blog content in an aggregated and seamless way. Considering user requirements, we have developed a new framework for organizing results. While doing it, we faced the issues of personalization and collaboration. We intend to provide control to the end-user to help learning. Read More Read Less

Abstract Group characters are an essential concept in group theory and Fourier analysis of finite Abelian groups. For example, in many applications, such as spectral processing of binary or p-valued logic functions, it is often necessary to construct a table of groups of characters for a given group. This is a computationally demanding task, both from a space and time... Group characters are an essential concept in group theory and Fourier analysis of finite Abelian groups. For example, in many applications, such as spectral processing of binary or p-valued logic functions, it is often necessary to construct a table of groups of characters for a given group. This is a computationally demanding task, both from a space and time point of view, especially when working with large groups. The group characters are represented in matrix notation as rows of p × pm matrices, with p as cardinality and m as the number of variables in the set. GPUs, a highly parallel computing platform, can help solve this complex problem. In this paper, we will discuss how GPU processing can be used to construct tables of group characters for finite abelian groups, represented as direct products of cyclic subgroups of order p, and how it can be used to redistribute related computing tasks across GPU resources. The results of the experiments show that the proposed solution provides a significant speed-up compared to the C / C++ C character construction method executed on the CPU. Read More Read Less