A digital demodulation method for a quadrature amplitude modulated signal uses a phase locked loop to generate a local carrier signal. The phase locked loop uses a feedback signal derived from one or more demodulated signals of interest. The loop has a filter characteristic with a stop band within the information bandwidth(s) of the information signal(s). The preferred method generates an error signal from DC components of in-phase and quadrature-phase baseband signals. DC components are preferably isolated using a low-latency, AC rejection filter.