A system, comprising: a modulation controller (120, 260, 300) configured to generate a modulation signal to control timing in the modulation controller, the modulation controller being configured to generate a phase modulator output signal (124, 270, 380) to control clockwise and counterclockwise output light signals applied to a fiber optic coil based on the modulation signal, the phase modulator output signal being is generated to control a phase relationship between input light signals received from the fiber optic coil in response to the output light signals, the modulation controller being configured to receive the input light signals as feedback from the fiber optic coil and to adjust the phase modulator output signal to null a phase shift between the clockwise and counterclockwise output light signals, wherein the phase shift is in response to a rotation of the fiber optic coil in the presence of the output light signals; and a transit time clock (134, 318) in the modulation controller (120, 260, 300) configured to control timing of the modulation controller, the transit time clock being set to a clock speed to control a time period of the modulation signal generated by the modulation controller, the time period of the modulation signal being a time period at successive increments of which the modulation signal is step-changed, the system being characterized in that the time period of the modulation signal is less than tau and equal to (1/n)*tau, wherein n is an odd integer value and tau is an optical transit time of the output light signals applied to the fiber optic coil and returned as the input light signals as the feedback from the fiber optic coil after being applied. a modulation controller (120, 260, 300) configured to generate a modulation signal to control timing in the modulation controller, the modulation controller being configured to generate a phase modulator output signal (124, 270, 380) to control clockwise and counterclockwise output light signals applied to a fiber optic coil based on the modulation signal, the phase modulator output signal being is generated to control a phase relationship between input light signals received from the fiber optic coil in response to the output light signals, the modulation controller being configured to receive the input light signals as feedback from the fiber optic coil and to adjust the phase modulator output signal to null a phase shift between the clockwise and counterclockwise output light signals, wherein the phase shift is in response to a rotation of the fiber optic coil in the presence of the output light signals; and a transit time clock (134, 318) in the modulation controller (120, 260, 300) configured to control timing of the modulation controller, the transit time clock being set to a clock speed to control a time period of the modulation signal generated by the modulation controller, the time period of the modulation signal being a time period at successive increments of which the modulation signal is step-changed, the system being characterized in that the time period of the modulation signal is less than tau and equal to (1/n)*tau, wherein n is an odd integer value and tau is an optical transit time of the output light signals applied to the fiber optic coil and returned as the input light signals as the feedback from the fiber optic coil after being applied.