Physical instruments and measurement chains

Build an experimental measurement chain from sensors through conditioning and digitization, identifying bandwidth, noise, grounding, and calibration limits.

10 published lessons1 module240 min of guided study
  1. 01
    Physical instruments and measurement chainscore · 10 lessons

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Physical instruments and measurement chains

Build an experimental measurement chain from sensors through conditioning and digitization, identifying bandwidth, noise, grounding, and calibration limits.

  1. 01

    Transducers and physical response functions

    Define the measurand, sensitivity, and response time of a sensor before treating its electrical output as the physical quantity itself.

    24 min
  2. 02

    Thermal, shot, and flicker noise

    Calculate distinct noise mechanisms with explicit spectral and bandwidth conventions, and identify when independent-noise addition is justified.

    24 min
  3. 03

    Noise spectral density and equivalent bandwidth

    Integrate a noise spectrum through a declared filter and distinguish noise bandwidth from signal cutoff frequency.

    24 min
  4. 04

    Impedance loading and signal conditioning

    Calculate how an instrument changes a source voltage and how resistance, capacitance, and gain set the loaded measurement response.

    24 min
  5. 05

    Operational amplifiers and feedback response

    Use finite loop gain to calculate closed-loop accuracy and bandwidth, while checking stability and large-signal limits separately.

    24 min
  6. 06

    Lock-in detection and phase-sensitive measurement

    Derive two-quadrature demodulation with explicit amplitude and phase conventions, then connect output bandwidth to settling time.

    24 min
  7. 07

    Sampling, aliasing, and antialias filters

    Identify indistinguishable sampled frequencies and allocate analog filtering and clock performance before digitization.

    24 min
  8. 08

    Analog-to-digital resolution and quantization

    Separate converter step size from uncertainty, dynamic performance, and the assumptions that make quantization resemble white noise.

    24 min
  9. 09

    Ground loops, shielding, and common-mode rejection

    Follow unwanted currents and common-mode voltages through a connected measurement system instead of treating ground as an ideal universal node.

    24 min
  10. 10

    Instrument calibration and end-to-end transfer functions

    Turn a connected-chain indication into a calibrated result with a documented uncertainty model and a stated domain of validity.

    24 min
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