Technique of Measuring Taylor Microscale

We present the method to measure Taylor microscale from the discrete data which is useful for the data from the spacecraft. To study how well the method works, we construct the discrete data from known power spectrum. We model the power spectrum as the frequency in inertial range is proportional to -5/3 slope and the power law index q at dissipation range can be varied. From the data, we compute the second order structure function and correlation function. To obtain the Taylor microscale, we use the technique of the Richardson extrapolation from parabolic fitting of the correlation function. We found that the error of Taylor microscale depend on the steepening at the dissipation range and the resolution of the data. Since in this study we can compute the solution of the Taylor microscale from each spectrum, we produce the correction ratio to help correcting the Taylor microscale from extrapolation method. Finally, we apply this technique to the magnetic field data from the spacecraft in the solar wind.