The Mechanics of the Bilinear Transformation

1 June 1967

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Education

Vol. 10 (2) , 114-116
https://doi.org/10.1109/TE.1967.4320248

Abstract

The effect of the bilinear transformation substitution s 1 Z = -- s- on a polynomial equation nE aizi = 0 i= 0 is formulated in matrix terms. The matrices involved are formed by very simple rules. This procedure considerably facilitates calculation of the resulting s-polynomial, and makes the bilinear transformation an attractive tool for systems analysis rather than the textbook curiosity which it has been.

Keywords

SYSTEMS ANALYSIS
POLYNOMIAL EQUATION
BILINEAR TRANSFORMATION
SIMPLE RULES
MATRIX TERMS
ATTRACTIVE TOOL
EQUATION NE
CONSIDERABLY FACILITATES

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