Phase-compensation-circuit design using iterative linear-programming scheme

This paper proposes a new method for designing recursive all-pass (AP) phase-compensation-network that is useful in equalizing non-linear phase communication channels. For a given phase specification, we first derive a new phase-error that is an explicit non-linear function of the phase-compensation-network coefficients, and then propose an iterative scheme for minimizing the maximum phase-error such that the maximum phase-error can be minimized by utilizing a linear-programming (LP) technique. Such a design is called minimax design. Therefore, the resulting AP phase-compensation-network minimizes the worst-case phase-error and the iterative LP scheme obtains the optimal coefficients. As compared to the existing LP design and second-order-cone-programming (SOCP) design, the iterative LP scheme can achieve much more accurate minimax design. An example is given to show the improved performance of the iterative LP design over the existing LP and SOCP designs.