Signals and systems terminology – Definition of pulse response Is the reaction (output) of a circuit to a specified pulse input called the “pulse response”?

Difficulty: Easy

Correct Answer: Yes, this is the standard definition (True)

Explanation:


Introduction / Context:
Characterizing how circuits react to input waveforms is central to analysis and design. While “impulse response” is ubiquitous in linear systems, engineers also use “pulse response” when the test input is a finite-width pulse. This question checks correct terminology.



Given Data / Assumptions:

  • Pulse input means a finite duration, finite amplitude rectangular or shaped pulse.
  • Circuits may be linear or nonlinear; the term “pulse response” is descriptive of the experiment.
  • Time-invariant behavior is not strictly required for using the term, though it simplifies analysis.


Concept / Approach:

The “pulse response” is simply the output that results when a circuit is driven by a pulse. In LTI systems, it can be predicted by convolving the input pulse with the system’s impulse response. The term does not mean the same as “impulse response,” which corresponds to an idealized zero-width, unit-area input.



Step-by-Step Solution:

Define impulse response h(t): output for δ(t) input.Define pulse p(t): finite width τ and amplitude A.For LTI systems: y(t) = p(t) * h(t) (convolution).Therefore, the circuit’s reaction to p(t) is indeed its “pulse response.”


Verification / Alternative check:

Construct a unit-step response s(t) and express a rectangular pulse as the difference of two steps. The resulting output is the difference of two step responses, corroborating that “pulse response” is a valid, conventional term.



Why Other Options Are Wrong:

Calling it “impulse response” is incorrect; an impulse is an idealized limiting case. The response exists for nonlinear circuits as well; the name is still descriptive even though superposition does not apply.



Common Pitfalls:

Confusing impulse with finite pulses; assuming only digital circuits use pulses. Analog filters and amplifiers are routinely characterized by pulse testing to check slew rate, overshoot, and settling.



Final Answer:

Yes, this is the standard definition (True).

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