Fractional-Order Digital Phase-Locked Loop

A fractional-order digital phase-locked loop (FODPLL) is proposed. The FODPLL model is developed by approximating a fractional-order digital controlled-oscillator (FODCO) with a finite dimensional discrete transfer function. The design of FODPLLs model is simplified where one only needs to design a FODCO. The FODPLL outperformed its integer order counterpart. The loop parameters will then be tuned to maintain stability and other design requirements. The main points of this work are illustrated via simple numerical example.