A novel approach to the design of higher-order Bode-type variable-amplitude wave-digital equalizers

This paper presents a novel approach to the design of higher-order Bode-type variable-amplitude (VA) wave-digital (WD) equalizers. This approach is based on, (a) the derivation of a corresponding continuous-time VA equalizer transfer function from a set of high-level system design specifications, (b) the development of an analog prototype reference network suitable for a corresponding WD equalizer realization, and (c) the transformation of the analog prototype reference network to the desired VA WD equalizer through the use of the bilinear frequency transformation. The salient feature of the resulting VA WD equalizers is that they permit the continuous variation of the WD equalizer transfer function from a shaping transfer function to its inverse while requiring one single variable digital multiplier only. In addition, they exhibit the important practical feature that a geometrically symmetric change in the value of the variable digital multiplier causes a corresponding arithmetically symmetric change in the logarithmic magnitude-frequency response of the WD equalizer. An application example is given to illustrate the main results