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Using the Shifting property of unit impulse, prove that
Solution
given the function
(at)
by shifting property
f(t)(td)dt=f(d)
so by using the shifting property
let f(t) = (at)
integral ( - infinty to + infinty ) (at) (td)dt
let at = P
a dt = dP
integral ( - infinty to + infinty ) (P) (td)dP / |a|
= (P) /|a|
= (t) / |a|
hence proved

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Using the Shifting property of unit impulse, prove thatSolution.pdf

  • 1. Using the Shifting property of unit impulse, prove that Solution given the function (at) by shifting property f(t)(td)dt=f(d) so by using the shifting property let f(t) = (at) integral ( - infinty to + infinty ) (at) (td)dt let at = P a dt = dP integral ( - infinty to + infinty ) (P) (td)dP / |a| = (P) /|a| = (t) / |a| hence proved