What is the difference between pulse response and impulse response?

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SUMMARY

The discussion clarifies the distinction between pulse response and impulse response in the context of linear time-invariant (LTI) systems. Impulse response refers to an ideal mathematical concept representing the limit of a square-topped pulse as its duration approaches zero, while pulse response denotes a finite-duration square-topped pulse. The term "pulse response" is often misused, with most literature favoring "impulse response" for accurate communication in system analysis.

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  • Understanding of linear time-invariant (LTI) systems
  • Familiarity with mathematical concepts of limits and functions
  • Knowledge of signal processing terminology
  • Basic grasp of system response types (impulse, step, pulse)
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  • Study the mathematical derivation of impulse response in LTI systems
  • Explore applications of impulse response in signal processing
  • Learn about the relationship between impulse response and step response
  • Investigate common misconceptions in signal processing terminology
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Students and professionals in electrical engineering, signal processing, and control systems who seek to deepen their understanding of system responses and terminology accuracy.

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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