Phase-correction-network design using the SOCP optimization scheme

In this paper, we investigate a new design technique that adopts a modern optimization scheme called the second-order-cone-programming (SOCP) for designing an all-pass (AP) phase-correction-network (PCN). The PCN is required in the digital communications through non-linear phase channel such that the non-linear phase characteristic can be corrected to nearly linear phase. As a consequence, applying such a PCN can avoid the waveform distortion after transmitting a signal through the non-linear phase channel. This paper formulates the PCN design as an iterative SOCP (iSOCP) problem and solves the iSOCP problem iteratively. Consequently, we can yield the optimal PCN design for approximating a given phase design specification in the minimax error sense. We will utilize an example to validate the iSOCP design scheme.