Question

Let the Fourier transform of f(t) be

F(omega) = A / (B + j omega).
Determine the transforms of the following signals (using A = 5 and B = 2):
(a) f(3t - 2)
(b) t f(t)
(c) d f(t)/dt

Answer 1

To determine the Fourier transform of a signal, we need to apply the given transform formula to the given signal. Let's use A = 5 and B = 2.

Step-by-step explanation:

To determine the Fourier transform of a signal, we need to apply the given transform formula to the given signal. Let's use A = 5 and B = 2.

(a) To find the transform of f(3t - 2), we substitute t = (x + 2)/3 into F(omega).

(b) To find the transform of t f(t), we differentiate the given F(omega) with respect to omega and then multiply by j.

(c) To find the transform of d f(t)/dt, we differentiate F(omega) with respect to t and then multiply by -j omega.