A radio communication device has an analog control loop unit to generate an analog control signal that adjusts a phase of a voltage control oscillation signal, a digital control loop unit to generate a digital control signal having a frequency determined by a frequency of a reference signal and a predetermined frequency setting code signal and a phase opposite to a phase of the analog control signal, a voltage controlled oscillator to generate the voltage control oscillation signal, a data slicer to generate a digital signal including the reception signal, an automatic offset controller to generate a correction signal in response to an error between a frequency of the reception signal and a frequency of the voltage control oscillation signal, and a setting code adjuster to adjust the frequency setting code signal, wherein gain of the digital control loop unit is higher than gain of the analog control loop unit.

A digitized signal is processed via an interpolator. The interpolator performs timing adjustment on the digitized signal. The error signal is determined based on a desired signal and the time-adjusted digitized signal. A corrective phase shift of the digitized signal is determined via a least-mean-squared processing block that uses the error and the derivative of a function used by the interpolator. The corrective phase shift is input to the interpolator to perform the timing adjustment.

The synchronous demodulator electronic circuit for phase modulation signals includes, in a control loop, a discrete Fourier transform unit for receiving the phase modulation signal to be demodulated, and means of recovering the carrier frequency of the phase modulation signal, so that the discrete Fourier transform unit performs in combination the operations of mixing and low-pass filtering the sampled phase modulation signal with at least one frequency and phase adapted digital conversion signal to supply at least one demodulated signal at the output of the discrete Fourier transform unit.

Processing a digital bit stream and systems for implementing the methods are provided. The method includes dividing the digital bit stream into a plurality of data packets. In a first processing block performing a carrier recovery error calculation on a first portion of the plurality of data packets, comprising preforming a first phase locked loop (PLL) function on decimated data of the data packets and performing a carrier recovery operation on the first portion of the plurality of data packets. In a second processing block, in parallel with the processing of the first portion of the plurality of packets, performing the carrier recovery error calculation on a second portion of the plurality of data packets, comprising preforming the first PLL function on decimated data of the data packets and performing the carrier recovery operation on second portion of the plurality of data packets.