UPPCL AE EE: Signals & Systems Quiz 3

Laplace transform of the signal x(t) is

If the ROC is Re[s] < –2, then the inverse Laplace transform of the signal x(s) is.

Which of the following statement is/are correct with regard to Dirichlet conditions ?

For a filter, voltage transfer function, then identify the type of filter?

If x(t) = tⁿu(t), then the Laplace transform of x(t) is:

Find the Laplace transform of f(t), where f(t) is f(t) = 4 δ(t – 2) + 2e ^–4t

The output of a linear system for a unit step input is given by . The transfer function of the system will be:-

Time shifting in Laplace transform If L{x(t)} = X(s), then L{x(t – t₀)} is:

Let the impulse response of an LTI system be h(t) = e^–tu(t). find the output y(t) if the input is x(t) = u(t)

The unilateral LT of the signal x(t) = t²e^–2tu(t) is: