Analysis of linear systems with the usage of multiple transformations with Taylor series
Journal Title: Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування - Year 2011, Vol 0, Issue 44
Abstract
The method for solving the problems of analysis merely compatible signal (archiving, recognition, compression, etc.) and passing this signal through a linear system (for creation a single mathematical tools) with use of multiple orthogonal transforms with the usage complex frequency is proposed. At the same time analysis, for example, explored the similarities and differences between a reference signal is performed by using the selected discrete orthogonal transformation, and analyze it’s passing through a linear system (circuit) –with the help of multiple transformation, such as the progressive conversion of the signal samples is provided in natural coordinates, matrix operators of these two changes as a result respond discrete Fourier transform. The second transformation has transforms, other than Fourier transforms, but they performed all theorems and properties of Fourier transformation, including theorems on differentiation and integration of originals, allowing for analysis to use Ohm's law. To approximate the spectra change, other than normal, the Taylor series are relevant calculation formulas for each of the complex frequency , for implementation of which it is necessary to obtain the inverse matrix of nodal conduction. Unlike the approximation of frequency response spectra of Fourier transform all of the multiple transformations are sensitive to parameter changes in one frequency . It also has been given an example of calculating the derivative.
Authors and Affiliations
I. Rybina, O. Vivcharyk, A. Yakubenko
Keywords
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- EP ID EP309354
- DOI 10.20535/RADAP.2011.44.37-47
- Views 75
- Downloads 0
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