Phase-equalization-system (PES) design utilizing new phase-error function

This paper derives a new phase-error function for designing digital all-pass (AP) phase-equalization-system (PES) that is useful in digital communications and various electronic appliances including biomedical devices. Since the phase-error is a highly non-linear function with respect to the AP PES coefficients, the AP PES design is a challenging task. After deriving the phase-error function, we formulate the AP PES design as an iterative linear-programming (LP) problem and achieve the final PES design through iterating the LP procedure. We will use a design example to show that the proposed iterative LP formulation can achieve higher performance PES design than other existing design methods.