##  [Impulse Response](/index.php/impulse-response) 

  ##  [Impulse Response](https://mathlogic.quantumdictionary.io/impulse-response-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The output signal h(t) (or h[n] in discrete time) produced by a system in response to a unit impulse (Dirac delta or Kronecker delta) input; for LTI systems it is the system's time-domain kernel that determines outputs by convolution.

 

 

 

 

 





 

 



 ##  [Impulse Response](https://information.quantumdictionary.io/impulse-response-1) 

  

 [![Information & Communication Dictionary](/sites/default/files/styles/large/public/2026-01/Information%20%26%20Communication.png.webp?itok=g4emS-T7)](/index.php/topic-specific-dictionaries/information-communication)



**Information & Communication Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The time‑domain function h(t) of a linear time‑invariant (LTI) system that equals the output produced when the input is an ideal unit impulse δ(t); for LTI systems the output y(t) to any input x(t) equals the convolution y(t)=x(t)*h(t). In communications, the impulse response summarizes delay, amplitude scaling and phase effects (including multipath components) experienced by transmitted pulses.