Methods and apparatus for delay free phase shifting in correcting PLL phase offset

An apparatus eliminates a differential phase shift, Deltatheta(f), between a double sideband suppressed carrier modulated angular rate information signal and its sinusoidal demodulation reference signal in a gyroscope angular rate sensing circuit including a signal reference source. The apparatus includes a demodulator, a phase shifter in a demodulation reference signal path, the demodulation reference signal path being between the signal reference source and the demodulator. The phase shifter is configured to adjust a phase of the sinusoidal demodulation reference signal. A phase locked loop (PLL) includes a phase detector, a servo equalizer, and a dual-frequency, numerically controlled oscillator. The PLL is configured to provide a demodulation signal based on the phase shifted demodulation reference signal, and a phase shift command source is configured to provide an input to the phase shifter to command an appropriate phase adjustment.