Facultad de Ingenieria

Nowadays lots of applications in telecommunications require a wide bandwidth to transmit more infor- mation and improve the quality on the transmission of this information. In order to guarantee this condition low losses systems are designed; these losses can be classified in dissipation losses and mismatch losses. There are different classic methods for impedance matching, but they reach the impedance matching in a very narrow band- width, whereas the bandwidth used in different applications is generally greater in accordance with the quantity of information to be transmitted. A solution proposed in this paper to reach an impedance matching into a wider bandwidth is through the connection of various stub lines in parallel all along the transmission line, so we can have a multiple variables system, with more grades of liberty. A software that automatizes the calculations to reach the impedance matching was programmed, by using the minimum squares and Nelder-Mead methods. Once the us...

This paper is a selective review of the regularization methods scattered in statistics literature. We introduce a general conceptual approach to regularization and fit most existing methods into it. We have tried to focus on the importance of regularization when dealing with today's high-dimensional objects: data and models. A wide range of examples are discussed, including nonparametric regression, boosting, covariance matrix estimation, principal component estimation, subsampling.