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Practically, the random errors on the measurements from three gyros and three accelerometers can be considered statistically independent after ignoring the small timing error and tiny installation error compared to the other error sources.
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An implementation example of a real filter with improved performance in terms of ISI error probability when sampled with small timing errors is presented.
The present approach is centered on the optimization of a piece-wise rectangular transfer characteristic in order to obtain a minimal value of the error probability when the impulse response is sampled with small timing errors.
This design contributes to small diverter timing error, compact design, small wet area, a simple and robust mechanism, easy implementation of the ISO4185 test, and easy adjustment of diverter trigger timing.
Stimulus-specific BOLD effects were estimated by convolving the stimulus trials with the canonical hemodynamic response function, with the onset timings set to mid-point of the volume acquisition to give the smallest average timing error.
Even small sample timing errors of a few seconds lead to significant deviations of the fit parameters.
However, positioning errors overshadow the rather small instrumental and timing errors as already mentioned earlier.
Furthermore, we assume that the timing error τ is small enough such that the prototype filter impulse response g(t) can be considered constant between t and t−τ, i.e., g(t−τ)≈g(t).
After adjustment of start and stop signal timings, the estimated standard uncertainty caused by diverter timing error is reduced within a negligible small value (0.0019% or less) over a wide range of flow rates at any nozzle position.
A timing error of as little as a millisecond can throw its calculation off by nearly two hundred miles.
Indeed, when we considered only the subset of static trials preceded by another static trial, the mean timing error of the animate sessions was still significantly smaller than the mean timing error of the inanimate sessions (paired t-test, P<0.05).
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