Rotated-cone-programming method for designing phase-equalization system

In this paper, we propose a new technique called rotated-cone (Rcone) programming for designing all-pass (AP) phase-equalization circuit that is used in linearizing the nonlinear phase communication channels. Since AP digital circuit has unity-gain at all frequencies, we only need to consider the phase approximation for an given desired phase response. Basically, such a phase approximation problem is highly non-linear. This paper formulates this non-linear problem as an Rcone programming problem and finds the optimal coefficients by applying an Rcone programming solver. We will use an example to show that the Rcone programming design technique yields more accurate approximation than the existing linear programming (LP) design and second-order-cone-programming (SOCP) design.