NDLI: Theory of Two-Dimensional Hurwitz Polynomials

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Theory of Two-Dimensional Hurwitz Polynomials

Content Provider	Scilit
Copyright Year	2002
Description	The advances in two-dimensional (2-D) signal and image processing activities have stimulated active research in 2-D circuits and systems area. Two-variable (2-V) or 2-D Hurwitz polynomial study finds application in areas such as generation and testing of (2-V) reactance functions, bounded/positive real functions, and matrices; testing the stability of 2-D digital filters; and the generation of stable 2-D digital transfer functions. Stability analysis is an important aspect of the design of dynamic systems. This analysis is often carried out by examining for the absence of zeroes of the denominator polynomial of a system transfer function in some specified regions of the complex plane. One dimensional (1-D) systems are studied through the characterization whether or not the denominator polynomial is Hurwitz. By expanding this idea, we can define and study 2-D (also called bivariate, 2-V) Hurwitz polynomials. In view of the diverse needs of several different applications a number of 2-D Hurwitz polynomials have been defined and their test procedures established. In this chapter, a detailed presentation of various 2-DHurwitz polynomials and their relationships to one another is given. We also study their relevant applications. Book Name: The Circuits and Filters Handbook
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781420041408-12&type=chapterpdf
Ending Page	294
Page Count	16
Starting Page	279
DOI	10.1201/9781420041408-12
Language	English
Publisher	Informa UK Limited
Publisher Date	2002-12-23
Access Restriction	Open
Subject Keyword	Book Name: The Circuits and Filters Handbook Hardware and Architecturee Functions Transfer Function Digital Dimensional Diverse Define Denominator Hurwitz Polynomials
Content Type	Text
Resource Type	Chapter

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