A gearbox vibration sensor produces a sinusoidal signal at an actual frequency of
PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Digital electronics, embedded systems and data acquisition · Digital electronics, embedded systems and data acquisition
Electronics for Measurement, Ch Sampling, quantisation and the acquisition chain
Problem
A gearbox vibration sensor produces a sinusoidal signal at an actual frequency of 3.4kHz. It is logged by a 10-bit acquisition system sampling at fs=5.0kHz, with no anti-alias filter fitted.
((a)) Estimate the frequency at which this vibration will appear in the recorded data.
((b)) Estimate the maximum rms aperture jitter the sample-and-hold may have so that the timing error alone does not exceed the ideal full-scale noise floor of the 10-bit converter, for a full-scale sinusoid at the sensor's actual frequency of 3.4kHz.