High-Accuracy Phase-Compensating System Design Using Successively Linearized Constraints
Tian–Bo Deng · 2018
This paper develops a new iterative algorithm for the design of an all-pass phase-compensating filter (AP-PCF). This design algorithm employs the linear programming method through successively linearizing the nonlinear constraints as linear ones, and the AP-PCF is designed using the minimax criterion. The resulting AP-PCF is useful in the compensation of phase distortions of a variety of nonlinear-phase digital systems including digital communication channels. The basic idea of this design algorithm is to successively convert the nonlinear design constraints into linear ones and thus the design problem becomes a linear optimization problem. Based on such a problem conversion, the obtained linear optimization problem can be easily solved. A computer simulation example is given for showing the accuracy enhancement.