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Linear Systems and Polynomials

Name: Linear Systems and Polynomials
Creator: Manfred R. Schroeder

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1984Publisher:Springer Berlin Heidelberg

Authors: Manfred R. Schroeder;

doi: 10.1007/978-3-662-22246-1_23 , 10.1007/978-3-662-02395-2_23 , 10.1007/978-3-662-03430-9_23 , 10.1007/978-3-540-85298-8_25

Linear Systems and Polynomials

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Abstract

One of the main applications of polynomial theory occurs in the analysis of linear electrical circuits and the many other physical situations that are customarily represented by linear-circuit analogs. With the advent of computers and digital signal processing, time-discrete systems have taken on a special significance, and these are effectively represented by polynomials called z transforms that are akin to generating functions in other branches of mathematics. The application of cyclotomic polynomials, in particular, leads to fast computational algorithms, excellent error-correcting codes, and special signals for precision measurement (Chap. 26).

Related Organizations

University of Göttingen
Germany

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