Impulse Signal
5 practice questionsSignals & SystemsStep-by-step solutions
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1
The sifting property of the unit impulse δ(t) states that ∫ x(t)δ(t − t₀) dt equals:
A.0
B.x(t₀)
C.1
D.∫x(t) dt
2
Using the sifting property, the integral ∫ x(t) δ(t − t₀) dt evaluates to:
A.0
B.x(t₀)
C.1
D.x(0) for all t₀
3
Convolving an arbitrary signal x(t) with the unit impulse δ(t) yields:
A.Zero
B.x(t) itself
C.The derivative of x(t)
D.A constant
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