ELECTROMECHANICAL RESONATOR UNDER THE INFLUENCE OF TELEGRAPH UNBALANCED NOISE OF FREQUENCY

Abstract

For detecting and establishing the nature of frequency noises in the oscillating system, it is very important to separate different types of noises. For determination of characteristics of the frequency noise it is necessary to study statistical properties not of actual coordinate and its derivative, but of complex coordinate of oscillator. Its moments do not depend on the amplitude noises that often can prevail in the system. The growing interest in noises of frequency is related to the fact that they determine the loss of coherence of vibrations in many systems, from the devices based on Josephson contacts, to the nanomechanical resonators. The knowledge of statistical characteristics of frequency noises inevitably present in the devices of information read-out in quantum computers will allow correct processing of the information in them. Here the influence of the telegraph unbalanced noise of frequency on properties of electromechanical resonator is studied. It is shown that the dependencies of the higher cumulants contain features, which allow to separate the effects related to the presence of noise of frequency. The results may be useful in the theory of nanomechanical resonators, in processing the data, obtained in the radio-technical devices and devices, based on Josephson contacts, in quantum computers, in the estimation of precision of atomic clock.

Keywords

• electromechanical resonator
• noise cumulant
• noise of frequency