A sensing device comprising a micromechanical gyroscope, the gyroscope comprising: a first mechanical resonator for drive mode vibration; a second mechanical resonator coupled to the first mechanical resonator for sense mode vibration corresponding to the angular velocity, wherein the resonance frequency of the first mechanical resonator and the resonance frequency of the second mechanical resonator have been set to essentially coincide such that the initial normalized frequency separation (1-ω) between the resonance frequency of the first mechanical resonator and the resonance frequency of the second mechanical resonator is in the range of 0 to 0.05; characterized by a damping feed-back loop connected to the second mechanical resonator, wherein the feed-back loop comprises a transducer element and a control element; the transducer element comprises a first transducer and a second transducer; the first transducer is configured to output a first electrical signal that corresponds to the sense mode vibration; the control element is configured to receive from the first transducer the first electrical signal and generate a second electrical signal according to a specific response function, the response function defining correspondence between values of the first electrical signal and the second electrical signal; the control element is configured to feed the second electrical signal to the second transducer; the second transducer is configured to exert to the second mechanical resonator an opposing force that corresponds to the second electrical signal; the control element is a signal processing filter, response function of the signal processing filter having a resonant frequency characteristic that essentially coincides with the resonance frequency of the second mechanical resonator, wherein the signal processing filter is a low-pass filter, and the sign of the signal processing filter is selected such that a phase shift of the damping feed-back loop is 0 or -π, and the electrical Q value of the signal processing filter is in the range from 3 to 10. a first mechanical resonator for drive mode vibration; a second mechanical resonator coupled to the first mechanical resonator for sense mode vibration corresponding to the angular velocity, wherein the resonance frequency of the first mechanical resonator and the resonance frequency of the second mechanical resonator have been set to essentially coincide such that the initial normalized frequency separation (1-ω) between the resonance frequency of the first mechanical resonator and the resonance frequency of the second mechanical resonator is in the range of 0 to 0.05; characterized by a damping feed-back loop connected to the second mechanical resonator, wherein the feed-back loop comprises a transducer element and a control element; the transducer element comprises a first transducer and a second transducer; the first transducer is configured to output a first electrical signal that corresponds to the sense mode vibration; the control element is configured to receive from the first transducer the first electrical signal and generate a second electrical signal according to a specific response function, the response function defining correspondence between values of the first electrical signal and the second electrical signal; the control element is configured to feed the second electrical signal to the second transducer; the second transducer is configured to exert to the second mechanical resonator an opposing force that corresponds to the second electrical signal; the control element is a signal processing filter, response function of the signal processing filter having a resonant frequency characteristic that essentially coincides with the resonance frequency of the second mechanical resonator, wherein the signal processing filter is a low-pass filter, and the sign of the signal processing filter is selected such that a phase shift of the damping feed-back loop is 0 or -π, and the electrical Q value of the signal processing filter is in the range from 3 to 10.