The Reconstruction Of Cyclically Perturbed Signals From Aliased Data
Author(s)
J. M. Freeman & D. G. Ford
Abstract
The reconstruction of cyclically perturbed
signals from aliased data
J.M. Freeman & D.G. Ford
Precision Engineering Research Group, The School of Engineering,
University of Huddersfield, England
Abstract
There are many applications where data could satisfactorily be sampled at low
rates if it were not for the influence of some high frequency cyclic perturbation
caused by an external influence. For example, the static sampling of error data for
a ball-screw, where the perturbations are approximately sinusoidal and are caused
by cyclic errors in the screw. Another example is the cyclic effect that errors in
gear teeth have on the transmission error in gear systems.
Signals from ball-screws often contain a component of known frequency
above the Nyquist frequency. This is here assumed to be sinusoidal and caused by
errors in the screw, but it could be any periodic signal of known shape from any
source. The magnitude of the effect of the perturbations at any point along the
signal i
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