A subsea temperature sensor is mounted a distance from a shore station and reads its…

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Sensors, detectors and experimental instrumentation · Communication systems and RF engineering

Electronics for Measurement, Ch Modulation, receivers and the link that carries the measurement

Problem

A subsea temperature sensor is mounted a distance d=3 kmd = 3\,\mathrm{km} from a shore station and reads its measurand over 00 to 100100 degrees Celsius. Its analogue front end (sensor plus signal-conditioning amplifier) is known, from its own noise budget, to resolve the temperature to 0.050.05 degrees Celsius rms; the reading is then digitised there by a 1212-bit analogue-to-digital converter spanning the full 100100 degree Celsius range and sent up as a digital code. Two candidate media are compared for the 3 km3\,\mathrm{km} run: single-mode optical fibre, attenuation 0.20 dB km−10.20\,\mathrm{dB\,km^{-1}} at 1550 nm1550\,\mathrm{nm}, launched at Pt=+3 dBmP_t = +3\,\mathrm{dBm}, with 4.0 dB4.0\,\mathrm{dB} of connector and splice loss along the route; twisted-pair copper cable, attenuation 20 dB km−120\,\mathrm{dB\,km^{-1}} at the signalling frequency used, launched at Pt=0 dBmP_t = 0\,\mathrm{dBm}. Both receivers need at least −32 dBm-32\,\mathrm{dBm} at their input for a negligible bit-error rate, and the design rule of thumb is that a link needs at least 10 dB10\,\mathrm{dB} of margin above that figure to be dependable. ((a)) Find the received power and the margin over the −32 dBm-32\,\mathrm{dBm} sensitivity, for each medium. ((b)) State which medium meets the 10 dB10\,\mathrm{dB} margin rule and which does not. ((c)) Given the working link carries the digitised code reliably (negligible bit errors at its operating margin), decide whether the link or the front end limits the end-to-end temperature resolution, using the ADC's quantisation step on the 100100 degree Celsius range.

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