GATE EC 2022: Signals & Systems Quiz 5

Find the Fourier transform of x(t) =

Suppose we are given the following information about a signal x[n].

1) x[n] is a real and then signal.

2) x[n] has period N = 10 and Fourier coefficient a_K.

3) a₁₁ = 5

4)

Let x(n) = A cos (Bn + C). Then find the value of A + B + C =

If the Fourier transform of a certain function f(t) is:

Determine the Fourier transform of the given function:

Consider a continuous time signal x(t) whose Fourier transform is
[Where u(ω) is unit step signal]
The signal x(t) is