Question

a) Find out the Fourier transform of the following signal using time-shifting property. x(t) = e^{-2(t-10)}u(t - 10) b) Compute the convolution between the following two signals using Fourier transform x(t) = e^{-2t}u(t) h(t) = e^{-5t}u(t) + ?(t)

          a) Find out the Fourier transform of the following signal using time-shifting property.
x(t) = e^{-2(t-10)}u(t - 10)
b) Compute the convolution between the following two signals using Fourier transform
x(t) = e^{-2t}u(t)
h(t) = e^{-5t}u(t) + ?(t)

a) Find out the Fourier transform of the following signal using time-shifting property.
x(t) = e^-2(t-10)u(t - 10)
b) Compute the convolution between the following two signals using Fourier transform
x(t) = e^-2tu(t)
h(t) = e^-5tu(t) + ?(t)

Added by Clara O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/27/2022

Step 1

Given x(t) = e^(-2(t - 10))u(t - 10), we have x(t) = e^(-2t)u(t) by shifting property. Therefore, the Fourier transform of x(t) is X(w) = 1 / (2 + jw). ** Show more…

Show all steps

Thanks for your feedback!

a) Find out the Fourier transform of the following signal using time-shifting property. x(t) = e^{-2(t-10)}u(t - 10) b) Compute the convolution between the following two signals using Fourier transform x(t) = e^{-2t}u(t) h(t) = e^{-5t}u(t) + ͆(t)