237,980 research outputs found
A logarithmic version of the complex generalized Smith Chart
This work has been supported by the Spanish “Economía y Competitividad” Ministry under projects TEC2014-54005-P and TEC2016-80815-P
Complex analysis of the Transmission Line Theory: Analytical characterization and examples of use
In this paper the main contributions to the Complex Transmission Line Theory regarding the characterization of the lossy Transmision Lines (TLs) will be summarized. They are introduced together with their physical interpretations and emphasized through some examples. To achieve the present results two different but complementary direct and inverse characterizations in lossy Transmission Line Theory are developed. The first one (direct characterization) is concerned with the parameterization of the TL parameters in terms of losses, while the second one ( inverse characterization) is particulary useful to know which losses lead to a particular specification of the TL. Due to the importance of the graphical analysis in the Complex Transmission Line Theory, every characterization is related to a representation in a complex plane underlying a very important normalization procedure which will be also summarized in this paper. Thus, each graph describes a "universalized" behavior of a set of TLs parameterized by the same losses in the direct characterization, or by the same TL specification in the inverse characterization. All the analysis presented in this paper and the TL problems solved to exemplify its use become very important to study and design real waveguide systems, as well as pasive circuits and components based on losses
Journal de guitarre par Vidal : composé d'ariettes nouvelles, romance avec accompagnement, airs variés, préludes, sonates, dous concertans pour guitarre et violon, ou 2 guitarres : ouvertures à la portée d'amateurs
Damián Martín Gil, 'The famous Vidal': New Light on the Life and Works of a Guitarist in Late Eighteenth-Century France, in: Eighteenth-Century Music, 18/1 (2021), p. 123-149Digitalisierung=Digitization=Numérisation 2021 TIF
The logarithmic generalized smith chart: Theoretical analysis
A logarithmic version of the Generalized Smith Chart is presented emphasizing its usefulnesses when analyzing the behavior of the wave parameters along the transmission line. Due to the facilities the Logarithmic Generalized Smith Chart provides to this kind of analysis, the spiral which describes the wave impedance is analytically identifyed with an hyperbolic cotangent spiral. The transformations between the main wave parameters involved -the reflection coefficient, the wave impedance and the logarithm of the reflection coefficient which underlies the Logarithmic Generlized Smith Chart- are also characterized and graphically studied. Finally, the possibilities of the new chart are pointed out by means of its application to some examples
The logarithmic generalized smith chart: Examples of use
In this paper the usefulnesses of the Logarithmic Generalized Smith Chat analyzing the wave parameters along the transmission line are proved by means of practical examples of use. The application of this chart, previosly defined as the logarithmic reparameterization of the Generalized Smith Chart, to the analysis of different scenarios is broached here. In this sense, the Logarithmic Generalized Smith Chart shows the same utilities that the usual Smith Chart has with lossless transmission lines but with those which involve arbitrary losses, serving as the tool for measuring, impedance composing, matching and analyzing
Application of the Rigged Hilbert Spaces into the Generalized Signals and Systems Theory: Practical example
Signals and Systems Theory (SST) is an essential subject in the educational and professional background of electrical engineering as well as in many other scientific areas. Many authors present this theory following a scheme which is valid for the analysis of general problems, but they avoid to deal with more general concepts, leaving out a wide range of problems. The purpose of our work is to develop a Generalized Signals and Systems Theory (GSST) which can include many different problems in a rigorous mathematical way. The introduction of the Rigged Hilbert Spaces (RHS) is an important point regarding this mathematical rigorousness, unifying the ordinary functions and generalized functions under the same framework. A review of these concepts and the application of the RHS to a concrete physical problem is presented in this paper
Complex analysis and parameterization of the lossy Transmission Line Theory and its application to solve related physical problems
This paper provides the current state of the analysis of the Transmission Line Theory based on complex analyses. These analyses include important parameterizations which are determined by specific normalizations, leading to graphical representations of the behavior of any circuit based on transmission lines with arbitrary losses. These graphical representations facilitate not only the physical understanding of the effects of losses but also reduce the study of any problem in terms of geometrical transformations. Finally, some illustrative examples will be summarized in order to get some insight of the Complex Transmission Line Theory
amp; Systems Theory
Signals and Systems Theory (SST) plays a fundamental role in the educational and professional background of electrical engineering as well as in many other scientific areas. Many authors present this theory following a scheme which is valid for the analysis of general problems but they avoid dealing with more general concepts, leaving out a wide range of problems. The final purpose is to develop a Generalized Signals and Systems Theory (GSST) which can include many different problems in a rigorous way. An important point related to this mathematical rigorousness is the relation between the ordinary functions and generalized functions in infinite dimensional signal spaces through the Rigged Hilbert Spaces (RHS), which is presented in this paper
« Tradition de la démocratie grecque », par P. Vidal-Naquet
Vidal-Naquet Pierre Emmanuel. « Tradition de la démocratie grecque », par P. Vidal-Naquet. Préface à M. I. Finley, Démocratie antique et démocratie moderne, Paris, 1976. In: Clisthène et la démocratie athénienne. Actes du Colloque de la Sorbonne tenu le 15 janvier 1994. Besançon : Université de Franche-Comté, 1995. pp. 58-60. (Annales littéraires de l'Université de Besançon, 553
The Green's functions theory based on a Generalized Signals & Systems Theory and its application to electromagnetics
During the last years, a Generalized Signals and Systems Theory (GSST) is been developed by our research group. The latest version of the GSST includes important concepts concerning the generalization of the (i) study of physical systems by means of infinite dimensional signal and linear-invariant and non invariant-operator spaces; (ii) concepts associated to sets of impulse responses rigorously explained in terms of generalized infinite dimensional basis together with the theory of distributions; (iii) transformations (Generalized Transforms, GT); (iv) transformation changes-infinite dimensional basis changes-(Generalized Transform Changes, GTC) and (v) spectral analysis of systems (Generalized Spectral Analysis, GSA). All these concepts may be particularized to the Green's functions theory which is nothing more than a particular case of obtaining the integral representation - with kernel a set of impulse responses, the Green's functions - of the inverse operator of the original one usually defined by differential operators together with certain boundary conditions. This leads to try to obtain a Generalized Green's Functions Theory (GGFT) which is the final aim within the studies and results presented in this work
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