g(t)=1Kδ⋅Δ
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( t−τ )dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r5aejaadAhadaqadaqaceaaahGaamiDaaGaayjkaiaawMcaaiabg2da9maapehabaGaam4zamaabmaabaGaeqiXdqhacaGLOaGaayzkaaaaleaacqGHsislcqGHEisPaeaacqGHEisPa0Gaey4kIipakiabgwSixlab=r5aejaadwhadaqadaqaaiaadshacqGHsislcqaHepaDaiaawIcacaGLPaaacaqGKbGaeqiXdqhaaa@5302@ .
Note 2 to entry: The systems frequency response G( j⋅ω ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadEeadaqadaqaaiaabQgacqGHflY1cqaHjpWDaiaawIcacaGLPaaaaaa@3CA9@ may be calculated by Fourier transformation of g(t):
G( j⋅ω )=ℱ{ 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.
g( t )= 1 K δ ⋅Δ v δ ( t ) MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadEgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpdaWcaaqaaiaaigdaaeaacaWGlbWaaSbaaSqaaiaabs7aaeqaaaaakiabgwSixJWaciab=r5aejaadAhadaWgaaWcbaGaaeiTdaqabaGcdaqadaqaaiaadshaaiaawIcacaGLPaaaaaa@4573@