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Order tracking (signal processing) : ウィキペディア英語版
Order tracking (signal processing)
In rotordynamics, order tracking is a family of signal processing tools aimed at transforming a measured signal from time domain to angular (or order) domain. These techniques are applied to asynchronously sampled signals (i.e. with a constant sample rate in Hertz) to obtain the same signal sampled at constant angular increments of a reference shaft. In some cases the outcome of the Order Tracking is directly the Fourier transform of such angular domain signal, whose frequency counterpart is defined as "order". Each order represents a fraction of the angular velocity of the reference shaft.
Order tracking is based on a velocity measurement, generally obtained by means of a tachometer or encoder, needed to estimate the instantaneous velocity and/or the angular position of the shaft.
Three main families of computed order tracking techniques have been developed in the past: Computed Order Tracking (COT), Vold-Kalman Filter (VKF) and Order Tracking Transforms.
== Computed order tracking ==
Computed order tracking〔(K.R. Fyfe, E.D.S. Munck, ANALYSIS OF COMPUTED ORDER TRACKING, Mechanical Systems and Signal Processing, Volume 11, Issue 2, March 1997, Pages 187-205 )〕 is a resampling technique based on interpolation.

The procedure begins by estimating the time instants T_k (k = 1:K) corresponding to integer rotations of the shaft (i.e. angle equal to 2\pi k). Then an angular rotation vector is defined:
\alpha _i = 2\cdot \pi \frac
accordingly to the desired angular resolution:
\Delta \alpha = \frac
A corresponding vector of time instants is obtained by means of a first interpolation step
t(i\Delta \alpha) = interpolation(\ , \alpha _i)
A second interpolation step is then applied to obtain the angular resampled signal x(i\Delta \alpha) from the original time domain signal x(j\Delta t):
x(i\Delta \alpha) = interpolation(\ , t(i\Delta \alpha))

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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