Acompute and plot the magnitude of the dft for ft using

Question

Consider the signal f(t) = 5sin(2pi(261)t) + sin(2pi(277)t).

a) Compute and plot the magnitude of the DFT for f(t) using "fftshift", assuming a sampling rate of 8000 Hz and a duration of 0.5 second.

b) Window the samples of f(t) using a hann window then compute and plot the magnitude of the DFT using "fftshift" for the windowed data.