Title :
The general biquadratic transformation of polynomials
Author :
Erfani, S. ; Ahmadi, M. ; Ramachandran, V.
Author_Institution :
Michigan Univ., Dearborn, MI, USA
fDate :
12/1/1988 12:00:00 AM
Abstract :
An explicit formula is derived for establishing the relationship between the original coefficients of a single-variable polynomial and the coefficients of the transformed polynomial upon application of the general biquadratic transformation. It is shown that previously known results for general bilinear transformations can be considered special cases of the derived relationship. The extension to the Mth order polynomial transformation is also presented
Keywords :
polynomials; transfer functions; coefficients; general biquadratic transformation; polynomials; single-variable polynomial; transformed polynomial; Algebra; Analog computers; Circuit testing; Circuits and systems; Digital filters; Helium; Marine vehicles; Polynomials; Transfer functions; Writing;
Journal_Title :
Circuits and Systems, IEEE Transactions on