(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:351-45-29ID:
Language:enStatus: Standard
Term: unit-impulse response
Synonym1: weighting function
[Preferred]
Synonym2:
Synonym3:
Symbol: g(t)
Definition: quotient impulse response Δvδ(t) divided by the impulse area Kδ of the impulse function, the quotient described by

g( t )= 1 K δ Δ v δ ( t ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadEgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiaaigdaaeaacaWGlbWaaSbaaSqaaiaabs7aaeqaaaaakiabgwSixJWaciab=r5aejaadAhadaWgaaWcbaGaaeiTdaqabaGcdaqadaqaaiaadshaaiaawIcacaGLPaaaaaa@4573@

Note 1 to entry: The unit-impulse response g(t) of a system contains all properties of the system and is used to calculate the response Δv(t) of the system to any input variable Δu(t) by the convolution integral

Δv( t )= g( τ ) Δu( tτ )dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r5aejaadAhadaqadaqaceaaahGaamiDaaGaayjkaiaawMcaaiabg2da9maapehabaGaam4zamaabmaabaGaeqiXdqhacaGLOaGaayzkaaaaleaacqGHsislcqGHEisPaeaacqGHEisPa0Gaey4kIipakiabgwSixlab=r5aejaadwhadaqadaqaaiaadshacqGHsislcqaHepaDaiaawIcacaGLPaaacaqGKbGaeqiXdqhaaa@5302@ .

Note 2 to entry: The systems frequency response G( jω ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadEeadaqadaqaaiaabQgacqGHflY1cqaHjpWDaiaawIcacaGLPaaaaaa@3CA9@ may be calculated by Fourier transformation of g(t):

G( jω )={ g( t )} MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadEeadaqadaqaai aabQgacqGHflY1cqaHjpWDaiaawIcacaGLPaaacqGH9aqptuuDJXwA K1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab=ftignaacmaaba Gaam4zamaabmaabaGaamiDaaGaayjkaiaawMcaaaGaay5Eaiaaw2ha aaaa@4DF7@ .

Note 3 to entry: The unit-impulse response of a system mathematically may be considered to result from application of a unit impulse to an input variable.

Note 4 to entry: This entry was numbered 351-24-19 in IEC 60050-351:2006.


Publication date:2013-11
Source:
Replaces:
Internal notes:
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: