We saw in class that the Dirac delta function 8(t) can be defined in terms of the "sifting property": * x(t)d(t – to)dt = x(to) (a) Apply the sifting property to determine the value of the integral e-418(t - 3)dt (b) Show that 108 8(t)dt = 1
We saw in class that the Dirac delta function 8(t) can be defined in terms of the "sifting property": * x(t)d(t – to)dt = x(to) (a) Apply the sifting property to determine the value of the integral e-418(t - 3)dt (b) Show that 108 8(t)dt = 1
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:We saw in class that the Dirac delta function 8(t) can be defined in terms of the "sifting
property":
∞
(b) Show that
x(t)8(t - to)dt = x(to)
(a) Apply the sifting property to determine the value of the integral
Le
e-4t 8(t - 3)dt
po
8(t)dt = 1
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