What is the difference between pulse response and impulse response?

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Discussion Overview

The discussion centers around the difference between pulse response and impulse response, exploring the definitions and implications of these terms in the context of signal processing and linear time-invariant (LTI) systems. Participants examine whether these terms are interchangeable or distinct, and the relevance of impulse response in practical applications.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that "impulse" refers to an ideal mathematical concept, defined as the limit of a square-topped pulse as its duration approaches zero while maintaining constant area.
  • Another participant describes an "ordinary" pulse as a square-topped pulse of finite duration, suggesting that an infinitely long pulse corresponds to a "step" response.
  • A participant expresses understanding that an impulse can be viewed as a form of a pulse with diminishing width.
  • One participant questions the validity of the term "pulse response," suggesting it may be a misnomer for "impulse response." They also inquire about the utility of impulse response in analyzing real-world LTI systems.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether pulse response and impulse response are distinct or interchangeable, indicating ongoing debate and differing interpretations of the terms.

Contextual Notes

Some assumptions about the definitions of pulse and impulse are not explicitly stated, and the discussion does not resolve the mathematical nuances involved in the transition from pulse to impulse.

QwertyXP
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I would like to know the difference between pulse response and impulse response.

I looked for "pulse" and "impulse" on the internet and found that on some websites they had been used interchangeably. Apart from that I checked out some books and found that they use the term "impulse response" (or unit impulse response) and not "pulse response". Is there really a difference between the two terms?
 
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"Impulse" usually refers to a ideal mathematical concept. It's the limit of a square topped pulse of finite duration, as the duration is allowed to approach zero, but with the amplitude simultaneously increasing so that the area under this vanishing pulse remains constant.

Whereas, to me, an "ordinary" pulse refers to a square topped pulse of finite duration. If the duration of the pulse is made infinitely long, then you have the "step" response.
 
Hmm.. I think I get it. From your answer I deduce that impulse is actually a form of a pulse (just that its width approaches zero).
Anyway thanks a lot for your reply!
 
QwertyXP said:
I would like to know the difference between pulse response and impulse response.

I looked for "pulse" and "impulse" on the internet and found that on some websites they had been used interchangeably. Apart from that I checked out some books and found that they use the term "impulse response" (or unit impulse response) and not "pulse response". Is there really a difference between the two terms?

I don't think I've heard the term "pulse response". I think it's just being used incorrectly, instead of "impulse response".

Quiz Question -- Why is the impulse response so useful in working with LTI systems? We really do use the impulse response for real-world system analysis.
 

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