Frequency estimation of a damped sinusoidal signal and comparison to theoretical lower bound

Abstract

Precision measurement of the frequency for a damped sinusoidal signal is important for fundamental symmetry test at the low energy scale. Here we analyzed the signal blockwisely and develop a model that can predict a correct blocksize dependence of the experimental frequency sensitivity. In addition, the model shows a leveling-off of the ultimate frequency precision beyond 2 times the damping time constant.