Summary
International Technical Conference on Circuits/Systems, Computers and Communications
2008
Session Number:G1
Session:
Number:G1-1
Generalized Pascal Matrices and Inverses Using One-to-One Rational Polynomial s-z Transformations
Tian-Bo Deng, Sorawat Chivapreecha, Kobchai Dejhan,
pp.-
Publication Date:2008/7/7
Online ISSN:2188-5079
DOI:10.34385/proc.39.G1-1
PDF download (72KB)
Summary:
This paper proposes a one-to-one mapping between the coefficients of continuous-time (s-domain) and discrete-time (z-domain) IIR transfer functions such that the s-domain numerator/denominator coefficients can be uniquely mapped to the z-domain numerator/denominator coefficients, and vice versa. The one-to-one mapping provides a firm basis for proving the inverses of the so-called generalized Pascal matrices from various first-order s-z transformations.