Frequency Filtering in Telecommunications

  • Piezoelectric filters are used in telecommunication to filter electrical signals. This report deals with the problem of calculating passing and damped frequency intervals for a filter with given geometrical configurations and materials. Only periodic filters, which are widely used in practice, were considered. These filters consist of periodically arranged cells. For a small amount of cells a numerical procedure to visualise the wave propagation in the filter was developed. For a big number of cells another model of the filter was obtained. In this model it is assumed that the filter occupies an infinite domain. This leads to a differential equation, with periodic coefficients, that describes propagation of the wave with a given frequency in the filter. To analyse this equation the Spectral Theory for Periodic Operators had to be employed. Different ways -- analytical and numerical -- to apply the theory were proposed and analysed.

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Author:Ariadna Farres Basiana, Hanna Martinsson, Brage Ofstad Vik, Sergiy Pereverzyev, Martin Purrucker, Klaus Erich Schmitz Abe, David Stiel, Uldis Strautins
Contributor(s):Sabine Zaglmayr
Document Type:Report
Language of publication:English
Year of Completion:2004
Year of Publication:2004
Publishing Institute:Technische Universität Kaiserslautern
Contributing Corporation:ECMI
Date of the Publication (Server):2005/03/15
Tag:SAW filters; eigenvalue problems; piezoelectric periodic surface acoustic wave filters; wave propagation
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011