Novel Constraint-Linearization Methodology for Designing High-Accuracy Phase Equalizer

摘要

This paper develops a novel approach to the optimization of a digital all-pass phase equalizer (apPE). It is well known that a digital PE plays an important rule in digital communications as well as a variety of digital signal processing systems with phase distortions. After showing the frequency-domain system function (transfer function) of the apPE as well as the cost function that is minimized in the design, this paper summarizes the apPE design formulation that involves a linear cost function and a nonlinear design constraint. In order to convert the nonlinear constraint into a linear design constraint, an alternative novel constraint-linearization method is presented, which can approximate the nonlinear design constraint as a linear design constraint. Consequently, a digital apPE can be designed by applying a linear optimization algorithm. Computer simulations are given for demonstrating the usefulness of this new constraint-linearization-based apPE design methodology.