Approximation and Antenna and Filter Synthesis: Some Moduli in Programming Environment MATHEMATICA

Kyurkchiev, Nikolay, Andreev, Andrey

ISBN 10: 365953322X / ISBN 13: 9783659533228

Published by LAP LAMBERT Academic Publishing, 2014

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Bibliographic Details

• Title: Approximation and Antenna and Filter Synthesis: Some Moduli in Programming Environment MATHEMATICA
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 365953322X
• ISBN 13: 9783659533228
• Binding: Paperback
• Condition: Like New
• Book Type: book

About this title

Synopsis

This book aims to show the closed connection between approximation in respect of Hausdorff metric and analysis and synthesis of antenna grids. The second goal is to reveal how the tools of MATHEMATICA programming environment can be used in this direction. To this end series of MATHEMATICA codes illustrate numerical methods for finding optimal filters and antennas. The basic problems considered are approximation of functions and point sets by algebraic and trigonometric polynomials in Hausdorff metric as well as their applications in the field of antenna-feeder technique, analysis and synthesis of antenna patterns and filters, minimization of noise by suitable approximation of impulse functions. Fourier analysis is applied for approximation of impulse and transmitting functions and it is compared to the results obtained using the elements of the best Hausdorff approximation. The advantage of Hausdorff metric is the removal of the unpleasant effect of "Gibbs' phenomena". We hope that the book will be of interest for the researchers and specialists involved in analysis and synthesis of antenna patterns and filters facilitating their research.

About the Author

Prof. Nikolay Kyurkchiev and Prof. Andrey Andreev are from Plovdiv University “Paisii Hilendarski”, Faculty of Mathematics and Informatics and from Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences respectively. Up to now, they have more than 200 papers in the field of Numerical analysis and Approximation theory.