Properties ofδ(t) Differential of 5(t)is also an impulse δ'()=dδ()/dt and f(t)6'(t)dt=-f'(0) Integral of 5(t)is unit step signal: j8Udr-jodr+Js0d-u
Properties of δ(t) Differential of δ(t) is also an impulse δ’(t) = dδ(t)/dt and ∫ ∞ −∞ f (t)δ '(t)dt = − f '(0) Integral of δ(t) is unit step signal: ( ) ( ) ( ) ( ) 0 0 t dt = t dt + t dt = u t ∫ ∫ ∫ ∞ ∞ −∞ −∞ − − δ δ δ
Properties ofδ(t) 5(t)is a even function,that is δ()=δ(-t) We got 6(t)from a gate signal,and gate signal is an even function.It is also easy to give the math show of the even property
Properties of δ(t) δ(t) is a even function, that is δ(t) = δ(-t) We got δ(t) from a gate signal, and gate signal is an even function. It is also easy to give the math show of the even property