A -bit converter samples a sensor chain at

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

12

-bit converter samples a sensor chain at

f_s = 1\,\mathrm{MS\,s^{-1}}

. A local transmitter couples a spurious tone at

2.4\,\mathrm{MHz}

into the chain ahead of the converter, and there is no anti-alias filter. An engineer says: "The spurious tone at

2.4\,\mathrm{MHz}

is far outside anything we care about, and if it shows up as a small wiggle in the record we can always fix it by moving to a

16

-bit converter for better resolution." ((a)) Find the frequency at which the

2.4\,\mathrm{MHz}

tone actually appears in the recorded data. ((b)) Say whether the proposed

16

-bit upgrade removes this problem, giving the reason.

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