Generalized Theory of Variable Equalzers

Yoshitaka TAKASAKI  

IEICE TRANSACTIONS on Communications   Vol.E74-B   No.9   pp.2785-2790
Publication Date: 1991/09/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Communication Systems and Transmission Equipment

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Generalized expressions for variable transfer functions (VIFs) , v(f,x) , for approximating real transmission chracteristic y0(f)u are investigated, which results in several new VTFs that provide error reductions and/or realizations superior to conventional ones. Error reduction is attained through zero forcing (ZF) of errors in terms of u and/or x parameters (ZF- U, ZF-X). It is shown that error reduction for first order VTFs (Linear and bilinear VTFs) depends only on ZF-U. On the other hand, second order VTFs (quadratic and biquadratic VTFs) utilize both ZF-U and ZF-X to attain drastic error reductions. The concept of x range modification is also introduced to contribute design flexibility.