Principles of Signals and Systems

A: Governing principle: time-domain input shaping alters frequency content seen by an LTI system. Applied here: a faster ramp approximates a step, exciting modes near ωn and increasing overshoot without changing steady-state gain; correcting the ramp or filtering removes the excitation at source. Trap: option B catches engineers who know DC gain rules but misapply them to transient behavior.

A: Governing principle: verify from the electrical interface inward before relying on derived data. Applied here: pin-level injection confirms ADC range and scaling independent of sensor or bus layers; then software units are checked. Trap: option D tempts engineers used to system tests, but it hides pin mapping and offset errors.

A: Governing principle: a low-pass filter limits rate and high-frequency energy, not logic faults. Applied here: a stuck-at output removes attenuation, reintroducing sharp torque steps and mechanical jerk. Trap: option D attracts engineers thinking sampling theory, but the failure is logical, not spectral.

A: Governing principle: first-order systems link rise time and bandwidth by a fixed constant. Applied here: 0.35 / 0.007 s gives roughly 50 Hz, enough to flag an exaggerated claim. Trap: option C catches those mixing rad/s intuition with Hz without the 2π and constant.